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Full text of "The Grinder's Manual A Complet Peter Clarke"

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DOUG HULL 




JJDUg J'lLII L ^ 

Introduction 

There is a mathematical backbone of poker, and it can be learned. Much of 
the math that you need at the table is simple, but you need to practice away from 
the table so that you know what is important and ean do what is needed when 
needed. 

Ibis book gives you hundreds of practice problems so that the mental math 
of poker becomes as automatic as simple addition. These practice problems are 
presented as worksheets that you will till out for each kind of problem, with 
an answer key in the back to check your work. By practicing these worksheets 
over and over, you will remember the procedures for calculating important 
percentages and numbers when you need to do this math at the table. 

1 also include my own mental dialogue that 1 have when I am working 
out these problems. You will notice that there is rarely more than one or two 
numbers we need to remember at any given time. Kach operation is made as 
simple as possible. For example multiplying 37 by 4 might be too taxing, instead 
1 would advocate thinking along the lines of, ' Double 37 is 74, 74 is basically 75 
and double 75 is 150.” 

Is it absolutely correct? No. 

Is it close enough? Yes. 


in this batik we will be calculating equities of specific hands versus specific 
hands. You might say, “But this donkey could show' up with K7o after re-raising 
pre-flop!” You are right, he very well might, Ihis book is about calculating the 
winning chance of one hand versus another or one hand versus a set of several 
possible hands, ft is up to you and your poker sense to decide what those hands 
might be. Because of the inherent uncertainty in poker, we are not worried 
about calculating winning chances out to something like 73.1% on the flop/1 hat 
level of accuracy is meaningless in the face of other larger uncertainties. If the 
exact math were to come out to 73.1% but we just estimated to 75% that would 
be plenty good. [here is no need to measure with a micrometer if you are going 
to mark with chalk and then cut with an ax. 

With practice, you will be completely capable of doing these calculations at 
the tables when you need them. We will be quite liberal with the simplification 
of problems and that is quite acceptable. My grandfather, fapaw, often said, 
“Close only counts in horseshoes and hand grenades.” I would argue it is also 
true for the mental math of poker. 



These problems can also be used to get better with computer tools like 
Flopzilla, Equilab, Poker Cruncher, and the like. I he solution key for this 
book was made with these tools, and there is an appendix of which tools I 
recommended using. 

The focus of this book is on mental math so we will not be talking about the 
tools much here. I here will be companion videos for this book on 

ht tp j /Re dC hi pPoke r. com 

the answer key for this book is not just a list of answers without context It 
is a complete re print of the problems with the answers written in. This allows you 
to read the answer key as a way of reviewing the correct answers and building up 
intuition, and it saves you the trouble of flipping back and forth to the key later. 

The answer key is exact where it can be. Do not hope, or try to get your 
mental math as exact, if you are within 5% either way of the answer, you will be 
a monster at the tables. 

All of this math is used to enhance your poker sense. The problems in this 
book all tell you what the Villain holds. Doing the math in this ideal situation 
allows you to estimate better when the Villains holding is unknown. Will the 
Villain show up with unexpected hands? Yes. Will your rive red pair of Deuces 
actually put you ahead in unexpected situations? Yes. All of this math will be 
done in an uncertain environment, but we practice it here to better deal with 
that uncertainty. 



Contents 


Introduction 5 

P re-Flop All- In Mat h 11 

Pre-Flop All-In Percentages 13 

Turn Math 23 

Equ ity on t h e I u rn, H and Ve rsu s Han d 25 

Equity on Turn Hands Versus fype of Hand 35 

Calling Odds 48 

Ratios and Percentages 52 

Hunting Method and Bracketing 53 

You r P e re entage of the P ot M e t ho d 54 

Caldilating Percentages and Odds 57 

Drawing Decision on Turn: Percents or Odds 62 

i nipii ed Odds on th e 1 'urn 6 7 

Coun ting Combos 77 

Hand Versus Range, All-In 83 

Hand Versus Range, implied Odds 94 

Flop Math 105 

Equity on the Flop 106 

Hand Versus Hand Type 113 

Hand Versus Hand Facing a Flop Shove 121 

D e c is ion Ve rsu s a Hand Type Sh ov e on the FI op 127 

Hand Versus Range After a Flop Shove 132 

Hand Versus Hand on the Flop with Implied Odds 140 

Hand Versus Range on Flop with implied Odds 153 

Fold Equity 163 

Real Hands 173 


Folding Nut Flush Draw on the Flop 174 

Folding Middle Set on the Flop 177 

Flop Call on Paired Board 18t) 

Facing a Massive Donk Ship on the Flop 183 

Fold ing l op P air Gp e n En de r 186 

Nut Flush Draw Against “Same Bet” 189 

Big Draw Versus I urn Check Raise 192 

Answer Key 199 

Appendix 285 

Combinatorics You Can Use at the Table. 286 

C om pute r Tools 2 96 

Obligatory Silly Painting 297 

About the Author 298 






Pre-Flop All-In Percentages 

if all the money goes in before the flop, there is no more action and the 
cards just run out. 

there are eight basic ways two hands can relate to each other, they are 
show r n on the following pages. A common match-up is for one person to have 
two overcards and one person to have a pair, this is commonly referred to as a 
race or a coin flip because each person will win essentially 50% of the time. 

A second typical match-up is pair versus pair. The lower pair will only w r in 
20% of the time. The percent chance of winning is also known as your equity. So 
if there was SI 00 in the pot, on average the lower pair would win S20 because 
20% of S100 is S20. 

Pre-flop equities are not calculated at the tables, they are remembered. All 
of the equities that are listed on the next pages w r ere calculated w r ith Equilab, but 
any of the tools in the appendix of this book would do the same. 

We only need an approximation of the percent chance of each hand 
winning, and w r e can round the equities off to make them easier to remember. 
As with most of this book, we are only trying to get close. Ihese equities are 
important when calling a shove or making a shove pre-flop. 

A simple example would be if you raise to SI 0 with Ace King and someone 
shoves all-in for S50. You have seen this player do this kind of thing w r ith small 
pocket pairs quite often, and you believe that is w r hat he has now. You are being 
given the opportunity to call S40 to win a total pot of S100. 


Your Ace King wins 50% of the time versus his assumed holding of a small 
pocket pair like 77. Since you expect to walk away with 50% of the $100, that 
is S50. If you put S40 into the pot and expect to win S50, this is a good bet and 
you should calk Later in the book we consider more complex (and realistic) 
situations, like the fact that the Villain might also hold AQ, KK, or something 
like 78s. 

In the following diagrams, notice that the cards are not haphazardly placed, 
they are higher or lower in the space based on their ranks so it is easier to see 
their relationships. 

For instance, in the diagram below, the King is higher up than the pair of 
Queens and the Seven is placed lower. Also using Equilab, we know that the 
Queens are a 70%-30% favorite over K7o, and this statistic is mentioned above 
the pairs of cards. 'Ibis basic percentage will hold whenever a pair is matched up 



against an over card and under card with slight bonuses for the possibility of a 
straight or Hush by the unpaired cards. 



Pair versus 
over/under 


Note that in a dominated situation (a hand like A7 versus AK below) the 
actual equities can vary quite a bit from the stated 35%-65%. This is because in 
a dominated situation like K3 versus K2, frequently neither the Deuce nor the 
Trey will play, so the equities are much closer to 50%-50%. In other situations 
like A7o versus 78s is 35%-65%. Hands that share a small card, like Q2o versus 
K2o are more like 25%-75%. It is not worth doing a lot of work to remember all 
these possibilities. 









Pair versus pair 


Pair versus unders 
















30% 

70% 

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Pair versus 
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Dominated 


(Percentages vary much more) 

























These first exercises are very straight forward and based off of the 
percentages mentioned above. Hie point of tills exercise is to get you thinking 
about the possible variations of the type of hands described above and begin 
to develop an intuition on your own of how mathematically good your hand is 
versus other possible hands. 

For the first set, circle the hand that is ahead if all the money goes in pre-flop. 
The second set of exercises are tougher but more useful. Write the percentages 
in for each hand. Just find the applicable case in the prior page and fill in the 
percentages. 

To further refine the estimates, the hand that is behind gets an equity boost 
for being suited and/or connected. For instance: 

* KK versus 92o is 13%, 

* KK versus 92s is 17%, 

* KK versus 98o is 19%, 

* KK versus 98s is 22%. 

Add 4% for suitedness and 4% for connectedness and that is a good 
approximation. 



Add 4% for suitedness and 4% for connectedness and that is a good 
approximation. 

Just about any poker calculator will be capable of this kind of calculation. 
Look for the video accompaniment to this book on RedChipPoker.com to see 
how to use compute tools to solve these. See the appendix for recommended 
too Is. 




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Equity on the Turn, Hand Versus 

Hand 

Pre-flop is the easiest street to calculate. It is not even calculating, it is 
looking up pre-calculated numbers. Calculating equities on the turn is the next 
easiest street because there is only one card to come. 

Outs are cards that make the hand that is behind take the lead. On the turn 
there is only one thing to do, count outs and use the Rule of Two (explained 
soon). Remember, the guy counting outs on the turn is the one behind. Some of 
these problems are tricky with some false outs that actually improve both hands 
so they are not really outs. Don't worry if these tricky situations trip you up. At 
the tables, even if you miss these, you are rarely going to be oft by more than a 
couple of percent. 

The Rule of Two says multiply the number of outs by two to get the 
percentage chance of winning after the next card. Hie reason this rule works is 
that there are 52 cards in the deck and we know where six of them are on the 
turn, that leaves 46 unseen cards. If there were 50 unseen cards, each one would 
be exactly two percent of the deck. In actuality (because there are slightly fewer 
cards than 50), on the turn each unseen card represents 2.17% of the deck. 


Since we are usually calculating our hand versus an assumed holding, we 
can refine this rule further. If we pretend to know the Villains cards also, there 
are only 44 remaining cards so each is really slightly higher — 2.27% of the 
deck. We can add 1% bonus equity for every four outs to account for the extra 
0.27%. This is becomes more important when the number of outs increases. In 
this book we will add the bonus percentage if we think it will matter. However, 
usually the simple multiplication of outs by two is enough. 

If we are not assuming we know the Villain's cards, we can account for 
that extra 0.17% by adding a bonus percent for every six outs. Add these bonus 
percents in if you like or not as you choose. (Note that the answer key is as 
accurate as possible and does account for this.) 



31 Add-ons to the Rule of Two 13 

Multiply outs by two to get the percentage to win on the next card. 

Think you know their cards? One bonus percent Tor every four outs. 
Not sure? One bonus percent for every six outs. 

Rule of Tw r o applies on the turn since there is one card to come, but 
you can use it on the flop also if you expect to face another bet on the 

l urn. 

*1_ P 


Let's work an example of the kind of problem in this section: 






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In this hand, JTs has no pair, and A9s does have a pair. This means A9s is 
ahead, so we will be counting outs for JTs. 

Start by counting the most powerful draws—the flush. Any of the remaining 
nine Diamonds makes a winner. Next, any of the four Queens or four Sevens 
will make a straight. We already counted the Diamond outs that are among the 
straight cards, so be careful to not count them twice. We get three of each of the 
Queens and Sevens as outs instead of four each. We have the luxury of knowing 
that our overcards to the pair of Nines are good also. That means we also win if 
a Jack or Ten comes, so we can also count three outs for each rank. 

When doing these problems, space is provided to w r rite down the number 
of outs. Notice that in the example below we wrote out all the outs separately, 
9+6+3+3=21. (You may find it beneficial to adopt this trick for this kind of 





































counting if keeping all the numbers in your head before adding is tricky. You 
might want to count up each time or do some other strategy to keep the mental 
dialog simpler. This will make sure the math gets done right. This book allows 
you time to practice this and find something that works for you away from the 
table.) 

Once 21 outs are counted, double 21 to get 42%. If we want to be more 
accurate, we can add the bonus percentage of 5% because we get a bonus percent 
for every four outs. 21 divided by 4 gives us 5% to add in as a bonus bringing 42% 
to 47%. The actual equity is 47.7%. This was a damn fine estimate considering we 
did this in our head. 


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Some people do these exercises with computer tools to get used to using the 
tools. This can be helpful in learning the tools and building intuition. You can 
use these tools and get as accurate as you want, but the estimating we do here is 
going to be just fine at the tables. 

At the tables, if you think you know what your opponent has, just round 
47% equity up to 50% for ease of calculations. If we want to be more conservative 
because it is hard to know exactly what your opponent has (maybe it isn’t exactly 
A9 without blockers), we might discount a few outs and call it 40% for easy 
calculations. 

Do not be overly concerned about the errors in your calculations because 
of small adjustments for uncertainty and ease of mental math. Remember that 
it is the approximations we are looking for. Being oft by a few percentage points 
doesn’t matter if it means you comfortable doing the math at the table when 
necessary. 

























































































































































































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32 


Poker Work Book for Math Geeks 


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^ L a 

6 

J 


< > 

A 

< > 

A 

VS. 

^ > 

10 

< N 

J 

1 A 

< > 

A 

VS. 

t > 

10 

r -i 

J 

< > 

A 

* > 

A 

VS. 

< > 

K 

< > 

7 


1 + J 





l + , 



k±- 







# outs 


vs. % 


■\ - \t - \r 


# outs 


* 


vs. % 


- \f - \r 


# outs 


% 


vs. % 


9 

✓-\ 

8 

* 

6 

t > 

6 


9 

/-\ 

6 

/-\ 

A 

/ -\ 

3 


r ^ 

9 

/-\ 

6 

f ^ 

K 

9 





k— 1 —- 


♦ 

* 

L-1- A 

<> 

V_ 1 _/ 

LL 


A 

L-*-J 

k+. 

^ ^ 

k*, 


< > 

A 

' > 

A 

VS. 

> 

K 

< > 

7 

9 

f > 

9 

VS. 

^ > 

7 

t > 

8 

< > 

A 

t > 

9 

VS. 

^ > 

7 

t > 

8 






1 + 

l—1—j 




^ A ^ 

+ . 

4» 

^ ^ 



4 

^ X A 


# outs 


# outs 


# outs 


vs. % 


vs. 


vs. % 


























































































































































































































































































































































































Doug Hull 


IT] 

3 

/■ - 

6 

f - -V 

7 

. *, 



-___ i 

A 

k' 

VS. 

10 

JL 

JL 


L±J 



Q 

* 

\ 

7 

k" _ X _^ 

8 

A 


a 

4 

k _;_, 

7 

l*. 

♦ 00 

2 


10 

4 

a 

J 
♦ . 

VS, 

2 

* 

2 

4 

a 

i*. 

J 

♦ 

VS. 

2 

* 

K 

♦. 


# OutS, 


VS. % 


-■\/ r 


# outs 




vs. 


~\ s - \r 


# outs, 


VS. 




7 

♦ 


8 

♦ 


a 

♦ 


j 

♦ 


^ ^_:_ J 


VS. 




2 

* 


2 

* 




/ v 


3 

♦ 




#0Ut£ 


# oucts 


# owts 


vs. % 


VS. fo_ 


% 


vs. % 














































































































































































































































































































































































34 


Poker Work Book for Math Geeks 


(Tl 

iti 

f i 

8 

[k] 


fsl 

IT] 


* 

V ” J 

l ___- 

. V. 


[♦, 

♦ 

t * 

8 

r ^ 

8 

V-S. 

- " 

K 

- ' 

7 

^ n 

8 

t —^ 

8 

A 

Li 


i 

Li 

i 

♦ 

<s___> 


# OLitS 




VS, % 




VS. 




r - > 

3 

. ♦, 

r -' 

7 

r* ■> 

8 

* 

T 

*, 


/-i 

3 

Li 

t -i 

A 

L !L 

VS* 

—' 

K 

Li 

-' 

K 


# outs 


% 


vs. % 


# OUtS 




VS. fo. 


r-> 

A 

r > 

7 

A 

r i 

8 

•f. 

. 1 

T 


rr 

-^ 

7 

[♦, 

3 

IjL 

2 

4- 

L 1 - 


r--' 

13 

A 

vs. 

r"-' 

K 

-' 

K 

r ^ 

7 

f -- 

7 

VS* 

f -" 

A 

* -" 

2 

JL 

JL 


Li 

jt. 

L±, 




L±* 


f -•> 

f -"> 

*- ■> 

/- 


A 

A 

2 

5 



[♦, 

•f* „ 



A 

r 

K 

VS* 

r i 

A 

a 

L±- 

Li 


Li 

Lsl 


# ou.ts 


# cuts 


# o^te 


?■ 


vs. %. 




vs. % 




vs. 

















































































































































































# 0U±S 


VS. % 



# outs, 


vs. % 



# outs 


vs. % 





# outs 


# outs 


# outs 


vs. % 


vs. % 




vs. % 



















































































































































Equity on Turn Hands Versus 

Type of Hand 

In this section, we are considering an instance where we have a specific 
hand (like AQo) and we guess that the other player has a certain kind of hand 
(like a set). We will now practice calculating our equities against these guesses. 

In the two empty rectangles where you calculate outs, you can write a 
specific hand for the other player. Some of the time, all the hands of a given 
description have the same equity against our hand. Other times, the specific 
hand matters quite a bit. 

As an example, when we have top two pair and the unknown hand has a 
set, the different sets will have different equities. Top set versus top two pair is 
an unbeatable hand on the turn, but bottom set can lose if the top two pair gets 
a full house. 

When you are writing down a specific hand for the unknown hand, just 
choose something that seems realistic. Do not be concerned if the answer key 
chose a different hand. 


A 

a 

N 

-‘V 

2 

10l 

* 0 


4 

V ^ J\ 

v, 


VhS. OV-trpflir 

# outs A A £ - # cuts AA_£ # puts A A Z~ 

* VS. fcj£ _ fc ft vs. fo$I _ % + vs. %2k _ 


A VhS. OvwfQ'ir 

K 

J 

V3. cvemptr 

3 

r-■> 

3 

L * * J 




♦ 















































vs. 


VS. 



vs. .set 




vs. 


# 


# OUtS 


VS, % 


VS. 



set 



set 



# Dl^LtS 
























































































a 

3 

2 

10 

. 4* . 

+ 

♦ 

V 



vs. 


OJtr pair 


# outs 


VS. fo. 




VS. 


overpaid 


# outs 


VS. % 



(Tl 

ITI 

i ♦ j 



VS. Overpaid 


# 0U.t£ 


vs. 



vs. 


OVirpalr 


# outs 


VS. % 


















































































































































































♦ 



4 



4 



VS. straight 


# outs 


vs. % 


t *\ 

t > 

A 

6 


+ 

^ 1 ■< 


Ter p T 


VS. Tpp pair 


# outs 


?■ 


vs. $. 



Opea e^der 

VS. + 

Flush draw 


# outs 




























































































vs. % 


vs. % 


VS. fo . 



Top pair 




Pair 

VS. + 

CpfiiA- guv^gr 




opgw girder 

VS. + 

Flush draw 


# outs 


# outs 






















































































♦ 



♦ 



♦ 



vs. 


Straight 


# outs 


# outs 


VS. % 


f y 

A 

/■-N 

A 

vs. 

Top pair 

P 



# outs 





VS. % 



vs. tw o Pair 


VS. 7o 


vs. 


opea cadcr 
+ 

Flu^h draw 


# cuts 


VS. 7o 



































































































\s 



V 



4 ^ 



4 



4 




VS. st.r&.l&hx 


# 


%■ 


VS. 7a 





nr 

fsl 

ll 

L4J 


# Obt.tS 


VS. Jo 


VS. TW0 PfltK 


# DU.t<> 


VS. 7b 




VS, T“dTp. "pdLr 




Pft ly 

VS. + 

Oft ia- euu^r 




Ope^ £iA,rfer 

VS. + 

Flush draw 


# puts 


# outs 


# outs 


VS. 7a 


VS. % 


VS. 7o 


















































































I 


N 



♦ 


\r 



4 


"N 



* 



♦ 



K ^ Ppcfeet pfl Lr 


fcfilow Tp 


# DW.ti 


VS. % 




VS P^feetfsnir 
toe Low Tp 


# outs 


VS. % 


T| 

[A 

ve -, POfifeet fifltir 

JL 

A 

beLow rp 


# £>u±s 


VS. %. 




y.._ Poftfeet pa Lr 
toeLow rp 



v s Pctfet pnV 
toeLow TP 




Pocket pnLir 
bdLow rp 


# outs 


# OKtS 


# outs 


vs. %. 


vs. £ 


VS. fo. 
















































































































































































"\ 



4 





4* 



4- 


k' 

K 




vs. <^ut shot 


# outs 


vs. 




vs. ^ut shot 


# outs 


vs. $. 



vs. <^ut shot 


# outs 


vs. 


V 

* 

a' 

V 1 J 

vs. 

<qnt shot 

» 

# DRtS 






K 

a 





vs. £}ut shot 




vs. e^wt shot 


# outs 


# outs 


vs. fo. 


vs. 


vs. £ 

























































































VS. Full f+cLise 


# ou. ts 


VS. ?o. 



Thru &f 
a r^iv^d 


# 


vs. %, 




VS. Fi'j&vi 




VS, 



# 0 W±£ 




VS. % 


vs. 





VS. QverptUr 


# DKlS 


VS. % 




VS. ovfircfiireU 


# DRtS 


VS. % 









































































¥ 



♦ 



¥ 







VS. Fu.LLHpn.i2 


# ou .ts 


vs. % 




vs, 



# 


VS, fo. 



VS. cvfirpnw 


# £>U.tS 


?■ 


vs. 




vs. 


FL.if,fl ft raw 




VS, 




VS. cvftnMir^s 


# outs 


# OwtS 


# DRtS 


VS. % 


vs. $. 


vs. % 

















































































¥ 



♦ 



¥ 



•I* 


fTI 

(161 




VS. Fw.Lt h-f?Li5C 


VS. overpair 
















































































































































































4 


# outs. 


vs. %. 


A 

r i 

A 

VS. TWO V’tiU 


jL 



# OUtS 


vs. % 



vs, 





VS. $. 



VS. Over jjficr 




VS. 





vs, 


qut s h ct 
+ 

o^ercftKd 


# puts 


# 


# Dl/LfS 


VS. % 


VS. % 


VS. 


■ m • 


# i t 4 t t 


































































































































































K.J LL £—) L. Ill U 

- \ 




♦ 



4 



vs. set 


# ORtS 


vs. % 





Q 

1 J 

VS. 


L J 



# ORtS 

% 


vs. 




vs. two 'Pair 


# oixts 


vs. $. 



VS. T(?J)-pfUr 


# DRt£ 


vs. %. 


CA/firptftr 



VS. 


Ope Vt, 

eerier 



<q.Kt sJirt. 
VS. + 

Dvcrcia 


# ORtS 


# outs 


VS. % 


VS. % 


« • * # 



















































































set 

k' 

10 

vs. tavo pair 



l*J 



# outs. 





Y 

r 

10 

VS, 

ovfirpfltr 

♦ 

j 





# DU t£ 





Y 

10! 

opew- 

vs. 

. » . 

jlJ 



# DU t£ 



i-lHt Allot 

VS. + 

averts rd 


# DRtS 



























































































ovtr \pair 



8 

r- 1 

7 


*T* 

t j 


VS. f 


VS, overpaid 


# DRtS 



VS. fo 


[8] 

|8] 

VS. 

i_J 




# ORtS 

* 


VS, 

5 

r-^ 

5 

vs. 

V 

L ♦ , 



# DRtS 

? 


vs. 





4 * 


overpfltr 



VS. GvfirpflLr 


VS. % 


CVfirpflLK 



VS. % 



















































































VS. 



7 

± 



VS. 







Nixt FP> 


5 

JL 

5 

i 


VS, 


VS. 


# outs 


# DKtS 


ft _vs. ft 


vs. 


■ i ■ i’ 

6 


4 . 


V V — ± —J 

Nwfc Ft> 

r i if > 

VS. Nwt Ft> 


# £>W.tS 

£ 

% vs. % 


L L- 

Ni/tt FE 

£ 





































































K 

10 

5 

g> 

0 

* . 

♦. 

♦ 

4 - 



vs. set 


# outs 


vs. 



r 1, 

K 

K 





K | vs. two pair 

# outs 


VS. % 


Y 

K 

JL 

L*. 


# OKtS 



VS. % 


VS. T/P/TKU 


K 

v 


K 

♦ 


e Ad w 

VS. + 

Plush iarcTW 




VS. 




# 0wt£ 


# outs 


# outs 


vs. $ 


VS. % 


VS. % 
















































































vs. % 


8 

* i 

7 

VS. 

T.P.T.k.. 


jt] 





# oucts 




VS. fo 



8 

r i 

7 

vs. CJ T >e ‘^ 


u, 



# 



VS. fo 



VS. % 




































































Calling Odds 

In poker there are good bets and there are bad bets. The real art is setting 
up bad bets for your opponents while only taking the good bets offered to you. 
There are two components to any bet, the odds of winning and the pay off'odds. 
In order to decide what to do when presented with a bet, we need to know both. 
We might calculate that we will win a given bet only one time for every nine 
losses, but if we get one hundred times our bet when we win, this is a bet we 
should take every time. 

Let s look at an example: 

BET OF 2 
(ALL-IN) 

POT OF 4 



In the above example, the Villain bets his last two chips into a pot of four 
chips. We can see that we are getting a chance to win all six chips for the two 
we are asked to pul into the pot. This is a ratio of six in the pot to two in the call. 
We would write this as 6:2. In the interest of simplicity, we can simplify this 6:2 
ratio to 3:1 to keep the numbers smaller. All that matters is the ratio. We could 
do this same simplification for a bet of $200 into a $400 pot or even a bet of $ 133 
into a pot of $266. 




BET OF 1 
(ALL-IN) 


POT OF 2 


For Ihe rest of the example, we will think in the reduced or simplified ratio 
because keeping the numbers simple allows us to more easily do the mental 
math. 

Even though we only play out a given situation once, we really care what 
happens on average. An easy way to think about these situations is to imagine that 
we call the bet several times in a row and we win or lose in the exact proportion 
to what the odds dictate we should. Alter playing out the hand several times, we 
add up all the wins and losses. 

Let’s pretend we know we will win this bet exactly 25% of the time. This is 
75%-25% or a ratio of 3:1. This says we will lose three times and win once on 
average. We will look at four trials in this case. We use four trials because it is the 
smallest number that lets us keep the ratios of wins and losses right. 

If we were to call this bet four different times, we would lose three limes 
for a total loss of three chips. On the fourth time, we win, and we would get 
three chips from the pot. This one win of three chips would pay for all three of 
the losses. Because on average we neither win nor lose, this is our break even 
chances of winning. Playing out the scenario four times is illustrated below. 


3:1 ODDS (25% WIN) 



We just saw that getting 3:1 on our call, the break even percent of winning 
is 3 losses to 1 win, or 75% losses and 25% wins. What if we actually won this 
hand 50% of the time? 


1:1 ODDS C50% WIN) 



Looking above illustration, if we win 50% of the time, our ratio is 50%-50% 
or 1:1. The smallest number of trials we can do to keep the ratios right is two. 
Play it out twice to see the results: once losing and once winning. We will suffer 
a single one chip loss and also get three chips from the pot for our one win. Over 
the two trials we win more than we lose. Profiting two chips over the two trials 
means this is a great bet. We should take it every chance we can get. 


What if we only win this hand 2G%? We know this is less than our break 
even percentage (25% was break even). Looking to the ratio, 80% losses and 20% 
wins means 4:1 odds. We should play this out five times to keep the ratios right. 
Illustrated below is four losses to one win: 

4:1 ODDS (20% WIN) 

CALL AND LOS 

CALL AND LOS 
CALL AND LOS 
CALL AND LOS 



Over Lhe five trials, we lose four chips and only win three. We can see that 
we are slowly losing money because the payoff does not justify the risk. We are 
losing one chip over five trials or on average losing 0.2 chips ever)' lime we make 
this call. 

These small losses are often disguised in the luck of Holdem, but they are 
silent killers. Avoid these small losses and instead inflict them on your opponent 
and you will win at poker. 


Ratios and Percentages 

We often need to convert the pot-to-call ratio into a percentage. This is 
easiest when the numbers in our ratio are both whole numbers like 3:1 (which 
is 75%:25%) or 2:1 (which is 66%:33%). These two ratios act as milestones when 
trying to calculate ratios like 2.5:1 and other less friendly numbers. 

Here is a chart with lots of common ratios in poker. The conversion to 
needed outs is also listed. In the first grouping, the whole number ratios 5:1 
through 1:1 are listed. The second grouping shows the percentages in increments 
of 10% from 90%-10% through 50%-50%. The final grouping combines the two 
tables. 


S : l 

8 4 %— 16 

( 7 

outs ) 

9.0: 

1 

-1 

( 5 

outs) 

9.0:1 

3055-10% 

( 5 

outs) 

4:1 


( * 

outs ) 

4.0: 

l 

0DS4-2Q5S 

( 9 

outs) 

5,0:1 


C 7 

outs ) 

3 : 1 

755i-Z5* 

( 12 

outs ) 

2.3: 

l 

7034-303S 

<14 

outs) 

4-0:1 

eo%-20% 

c ^ 

outs) 

2:1 

66%-33SS 

(IS 

outs) 

1.5: 

l 

6091-4Q5S 

<18 

oute) 

3-0:1 

7S%-25% 

(12 

Outs ) 

1:1 

so%-50ss 

<23 

outs ) 

1 . o: 

l 

5QS4-5Q3S 

<23 

outs) 

H 

■+ 

in 

70%-30% 

C14 

outs) 

i-ifa- 









2-0:1 


CIS 

outs) 


1-5:1 €0%-40% CIS outs) 

1-0:1 50%-50% C23 outs) 














Knowing these whole number ratios like 2:1 or 70%-30% allows us to guess 
at ratios like 2.5:1 when they occur. Since 2.3:1 is 70%-30% and 3.0:1 is 75%- 
25%, we know 2.5:1 is in between 70% and 75%. You can pick either one 
depending on how optimistic or pessimistic you want to be. The actual answer 
is 71%, so both are very reasonable approximations. 


Hunting Method and Bracketing 

A second way to think about calling odds avoids having to do much math 
with the bigger numbers that occur in large pots. Look at the amount you are 
asked to call, and start hunting for that amount of money around the table. 

In this example, we are asked to call $75. 



We look around ihe table for piles of $75. There is one pile of $75 that we 
always have: the bettors $75. Next we look at the pot. There is another $75 pile 
in there. In fact, once we find one $75 in the pot, there is about $50 in change. 
This $50 is two-thirds of a $75. We have found 2% on our call. We now know we 
are getting 2%: 1. What is that as a percentage? 

We can use a bracketing method. If we round 2%:1 up to 3:1 we know that 
is 75%-25%. If we round 2Vy.l down to 2:1 then we know that is 66%-33%. Our 
ratio of 2 Z A:1 must be between 25% and 33%. 

Since 2% is closer to 3 than to 2, our final percentage should be closer to the 
25% than the 33%. Estimate this to “just under 30%..” The actual number is 28%. 

Most of the time, we will be able to bracket around the simple-to-remember 
ratios of 2:1, 3:1, and 4:1. This puts easy milestones at 33%, 25%, 20% and covers 
everything from pot-sized bet (2:1) through 'A pot-sized bet (4:1). 


Your Percentage of the Pot 

Method 

The final technique is asking ourselves, “What percentage of the final pot 
call?” Remember that the final pot includes our call. 

Let s do an example with realistic numbers. 


POT: $170 




BET: $70 





In our head, we say the bet of $70 plus our call of $70 is $140. The original 
pot was $ 170 so that sum is about $300. We want our call of $70 as a percentage 
of$300. If you can divide $70 by $300 in your head, then just do that to get 23%. 

If you can’t easily do that math in your head, an estimation technique would 
be to think four times $70 is $280. This is pretty close to $300 so we will use 
$280. We now have a ratio of $280:$70 or 4:1, and we know that is 80%-20%. 
Our call is 20% of the final pot. Even though we rounded the pot from $310 to 
$300 and then down to $280 for convenience, we got within 3% of the actual 
value. Do not be afraid to make these convenient estimations. 

In the following exercises, fill in the blank. The answer key is exact, but feel 
free to round your answers to convenient numbers. 

Pot ts: 1 OO 

villa tiA, bets: so 

call ls> °(d £5 of totcil 



Pot Is: 100 

villain bets: so 

: 1 oia, the call 

Pot Is: 100 

villaliA/ bets: y-s 

: 1 oiA/ the call 



Pot Is: 100 

villal ia, bets: 20 

: 1 oiA/ the call 

Pot Is: 100 

villaliA/ bets: 100 

: 1 oiA/ the call 



Pot Is: 40 

villain bets: 30 

: 1 oiA/ the call 

Pot Is: S ’s 

villa liA/ bets: 35" 

: 1 oiA/ the call 














Pot is: y -0 

villa iiA, bets: oo 

_: i oia, the call 

Pot is: Jo 

villain bets: &s 

_: l oia, the call 

Pot is: 5 

villain bets: ±o 

: l oia, the call 


Pot is: 

villain bets: 41 

: 1 oiA, the call 


Pot is: 

villaiiA, bets: ±0 

: 1 oiA, the call 


3 


Pot is 
villa iiA, bets 




300 ? 
± 0.5 


: ± oiA, the call 











pot is: 

±00 

Pot IS: 

±00 

villain bets: 

so 

villain bets: 

y ~5 

ca ll is fo 

of tot#l 

ca ll is f 

of totfll 

Pot is: 

±00 

Pot is: 

±00 

villaii^ bets: 

010 

villain bets: 

±00 

ca ll is f 

of totoi L 

ca ll is fo 

of tot# L 

Pot is: 

so 

Pot is: 

55 

villain bets: 

so 

villain bets: 

35 

ca ll is fo 

of totfl L 

call is fo 

of totct l 













pot Is: TO 

Villain bets: Q.0 

call is f _of total 


Pot Is: Jo 

villain bets: os 

call is f of total 


Pot is : s 

villain bets: ±o 

ca ll Is f of tota l 


Pot is: 

oo 

villain bets: 

41 

ca Ll Is f 

of tota L 

Pot Is: 

12 

villain bets: 

12 

ca Ll Is f 

of total 

Pot Is: 

300 

villa Iia, bets: 

12 S 

ca ll Is fo 

of total 













Calculating Percentages and 

Odds 

The next exercise is not introducing any new skills, it is only combining 
them. We are counting outs and writing down the equity percentages and the 
wins to losses ratio. 

The wins to losses ratio is rarely round numbers. Try to get it into X:1 form. 
Getting X so it is a nice round decimal like: 0.5, 0.33, 0.8 is ideal. 

In this example, we start at 24%:76%. We recognize this is very close to 
25%:75% and then divide each side by 25 to get the 1:3 ratio. 


t \ 

10 

y\ 

t - % 

10 

4* 

L- 1 - J 

/ -\ 

3 



t > 

K 

t > 

Q 

vs. 

t > 

K 

t > 

10 

y\ 

y . 





# putts 7/ 































v.s 



/ 



Sometimes, it is easier to use the hunting technique tor division. If we start 
with 70%-30% we would start hunting for “30s.” We see two of them in 70 and 
then there is 10 left over. This 10 over 30 is l A or 0.33 so we can say 2.33:1. 






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Drawing Decision on Turn: 
Percents or Odds 

In this exercise, we use these odds and equity percentages for something 
that is critical at the table: a call or fold situation. In all of these cases, we are on 
the turn and the Villain has shoved into us. We assume we are behind but that 
we have a certain number of outs that will win for us. Each problem is a mini 
worksheet to draw attention to the numbers that dictate the answer. 

Pot: 41 Q.0 

Vlllfllu, Shoves: 4 

Pot OO lots: : 1 

pot would be:_ 

your call would be %_ 

of the flyu?l pot. 

Outs: -4 
equity f _ 

Return, fron/i pot:_ Odds: : 1 


<^ut shot 

Call 

□ Fold 


Here we find ourselves with a gut shot, that means we have four outs. There 
are two ways to solve this problem, we need only do one. 








For ihe first method, we calculate our pot odds, which are the darker boxes 
towards the middle of the problem. In the problem above, we are being asked to 
call $80. Using the hunting method, we find one “$80” in the Villain’s shove. We 
find a second “$80” in the pot with $40 left over. That $40 is another half “$80” 
so we found 2.5 for our pot odds. 

Are we going to win once for every two and a half losses? There are about 50 
unseen cards. This is more than ten losers for every one of our four winners. Do 
not bother calculating this at the table since this is already a clear fold. 

For practice away from the tables, we might work out these numbers to the 
brutal end. At the tables, once you know what your decision is, stop and take 
the action. 

’Hie second way of doing this problem is asking what percent of the final 
pot is our call? Our call of $80 out of a final pot of $280 would be a lot easier to 
calculate if the final pot was $240, so round the pot down. The rounded pot is 
three times the size of our call so our percentage is 33%. The pot was actually 
bigger so our call is a lower percentage. We nudge down to an even 30%. The 
actual percentage is 29%. 


Next we compare our contribution to the pot to our equity. We have four 
outs, so that is about 8% plus 1% bonus for every four outs. Lets call it 10% 
because it easier to work with. We are being asked to put 30% of the money 
into the pot and collect 10% of it at the end. This sounds like a terrible idea. We 
should fold. 

Notice that the two relevant numbers to this decision are the lighter boxes 
on the right. Most people prefer the percentage method, but both are on the 
worksheet. Use what you like or practice both to help decide. 

There is a new calculation in this exercise: return from the pot. This is 
tells us how much you would win or lose on average if you made the call. This 
number gives us an idea of how good or bad the call is. 


Pot: #120 

villain Shov 1 ££: $ so 

Pot odds: £-5 ; t 

FLu-al pot would be: ' $00 

your call would be % m JO 
of the fiwal pot. 

Outs: 4 

equity ^ IQ 

Eftum frovu. pot:_ OoldS: }}Q : 1 


£ju± shot 

Call 
* Fold 


Using the percentage method, the return from the pot is easy. In this case 
the final pot is about $300. We will bring back 10% of the final pot: $30. Since we 
are putting in $80 and only getting back $30 on average, calling is a terrible idea. 
Every time we make this bad call on average we are losing $50. 









wt 4120 

<^wt: shot villa lit Shoves :-4 SO 

Pot DdotS: £-3 : 1 


call 

* Fold 


i'V' 

FikUll ~pot would b£: _ 

your call would be 
of the flwtf L ■pot. 

Outs: 


E^Litty ^ 

R£tum -fVoito, Odds: ^lQ : 1 


100 

10 


4 

10 









For now, this number is just a curiosity, but it will be come essential later. If 
this return is greater than the amount of the shove, we should call. If it is exactly 
equal, it is just a gamble where you don’t really lose or win over time. 


OpgiA, tv^dtr 

+ 


FlixsVi draw 


C-all 

Fold 


Return from, pat: 


2/5 

villain ShoVte: # ^-00 
Pot Odds:_: 1 

FlrUal pot would be;_ 

your tall would be % _ 

of the fuiiflL pot.. 

Outs 15" 

equity g_ 

Odds*: : ± 


Poo feet ^alr 
be Low TP 


Pot: t ±O 0 

v£XLg t vl S h 0 ves; 4 30 

Pot OddS: __ : ± 


call 

Fold 


Return from pot: 


FLaftl pot would be:_ 

Your call would be % _ 

of the ftwJil pot. 

Outs: 2 
Faulty g_ 

Odds: ; 1 


r^ut shot 


Pot: 4 ± 2.0 

VlLU*lu*-Shores: 4 so 

Pot Odds:_: 1 


call 

Fold 


Return- from, pot: 


FlwflL pot would be:_ 

Your cnlL would be % _ 

of the fulfil pot. 

Outs: ^ 
equity j£_ 

Odds; : ± 


P0t: #120 

Flush draw vtlLou^ shoves: # 30 

Pot Odds.: _: 1 

FerUll pot would be: _ 

Your oflLL would be % _ 

of the ftwai, pot. 

□ Fold Outs: ^ 

Faulty g_ 

Return from pot:_ odds:_: ± 































Pot: 42.00 

Flush draw vlllam shoves: 4 £>0 

Pot Odds: _: 1 


call 

Fold 


R£twhrt, from, pot; 


Fulfil pot wonld be:_ 

yowr tciLL would be g_ 

of tke fln-ftl pot, 

OutS: ^ 

Equity g_ 

Odds,: : i 


opew tv^dtr 
+ 


Flush draw 


coll 

Fold 


Return* from pot: 


Pot: 425 

villain, Sko'yes: 4 jo 

Pot Odds:_: 1 

FmAl pot would ht: _ 

y duy &all would be g_ 

of tke fin-flL pot. 

Outs.4 5" 

Bqyity g_ 

Odds: _ ; i 


Pocteet pair 
below tt 

C£?ll 

□ Fold 

Return from, pot: 


pot: 4 55 

vlLLaln, shoves: 4 35 

Pot Odds:_: 1 

Flwfllpot would be:_ 

Y^ur &aLL would be g_ 

of the fln-fll pot, 

OutS: 2 
equity g 

odds: ; 1 


Pot: $ ^2 

Flush draw vlLLam shoves: 4 &0 

Pot Odds:_: 1 


Coll 

Fold 


Return, from pot: 


Fl^Lpot would be:_ 

Y our call would be g._ 

of tke fln-fll pot, 

OutS: ^ 
equity g_ 

odds: ; x 































Pot: $2.00 

Flusk d raw villain -Skoves: SO 

Pot Oddi: __ ; ± 


call 

Fold 


R£tw.rirt* fTOVW pot: 


Flu.fl L pot would bd:_ 

Your tali would be _ 

of tkfi fufl.nl pot* 

Outs: ^ 
Fc[ud.ty 

odds: ; i 


T** 4 .SO 

villa lu. 3 In 0 V££: 4 4 * 0 

Pot Odds,: _; 1 

Flri.nl pot would be: __ 

Your call would bt % _ 

of the fufl.nl pot. 

outsil^ 
Faulty j£_ 

Figturirt, froru pot:_ odds,: _ : i 


Pair 

+ 

Flush draw 


call 

Fold 




















Pot: 4 ±20 

vCllflUt Skioves; 4 "40 

Pot Odds: __; 1 

Final pot wonLd bet_ 

Y our call would be _ 

of tine final pot. 

OutS: J \- 
Gqutty g_ 

Return from pot:_ Odds: _: 1 


C^ut shot 

call 
F old 


tvtdtr Ppt: 4-400 

-)- villain shoves: 4 ^- 50 

Flush draw pi * — ;1 

FtnaL pot Would be;_ 

Your ealL wouLd be % _ 

of the final pot. 

QUtS 1 5 

Eqwty fo_ 

Return from, pot:_ Odds: _ : i 



Pot’ 4300 

villain Shoves: 4125 
Pot Odds: __ : 1 

Filial pot wouLd bet,_ 

Your edit would be % 
of the final pot. 

Outs: 8 

Return from. pot:_ odds: 11 


Open, 

ender 

Call 

Fold 


Pot: 4-4-00 

viiLfli-w, sho'/ts.- 4 100 

Pot DddS;_: i 

Filial pot would be:_ 

Your t£ill would be % _ 

of the final pot. 

outs: 2 

Return from pot:_ odds: _: 1 


Pocket -pair 
below tp 

call 
□ Fold 



































opeu, 

e^der 

call 

F old 


Return from, pot: 


Pot: 4320 

villain. shoves: 4200 
Pot Odds.: __ ; 1 

FluflL pot would be:_ 

Y^ur CALL would be %_ _ 

of the flufll pot. 

Outs: & 
equity jg_ 

Odds: : ± 


^t: 4 J~Q 

Flush draw vlllaU shoves: 4 +0 

Pot Odds: _: 1 

Flirt.flL pot wouLd be:_ 

Y our call would be % _ 

of the fLu-fllpot. 

[ Fold Out£: ^ 

equity ^_ 

Return. from pot:_ Odds: _: ± 



CfU.t shot 
+ 

Flush draw 

call 

[ ] Fold 


Return frpt'u pot: 


Dvercdrots 


Pot: 4320 

villain shoves: 4 2 00 
Pot Odds: _: i 

FluflL. pot wouLd be:_ 

Y our cflLL would be % _ 

of the fUvfll pot. 

Outs:l3 
equity ^_ 

odds: i ± 


Pot: 4 Jq 

villAln, Shoves: 4 ^0 

Pot Odds:_: 1 


Pi.irt.flL pot wouLd be:_ 

Y^ur caLL would be % _ 

of the flufii pot. 

[ ] Fold OutS: &> 

equity jg_ 

Return frowt pot:_ odds: _: 1 































N Lit Ft> 

call 
□ Fold 

Return from pot; 


Pot: f±DD 

villain shoves: -f 5 0 

Pot odds:_: i 

FtVLfll pot would be: _ 

Your GflLL wouLd be % _ 

of the flwaL pot. 

Outs: 12 

Faulty g_ 

Odd s: ■ i 


Pot: + 45 

villa iia , shoves: 4 2 :0 
Pot Odds:_: 1 

FliAjil pot would be;_ 

Your oall wouLd be % _ 

of the ftufll pot. 

Outs: 4 
Faulty ^_ 

Rieturu- from, pot;_ Odds: _: ± 


^jut shot 

□ call 

Fold 

















Implied Odds on the Turn 

We have been making decisions on ihe turn where the opponent was all-in. 
Most bets on the turn do not leave either player all-in. When there is still money 
left in the stacks, the player who is drawing to the best hand can make a call with 
the hope of getting more money into the pot when he hits his outs. 

There is no mathematical answer to “If I hit my flush, will Villain call my 
shove on the river?” The only thing math can do is ensure there is enough money 
in the stacks so it is possible for Villain to pay us off. Inducing this payoff and 
knowing how often it will come is the art of poker. We only do the math here to 
know if it is possible to get paid off. 

Here is an example, The Villain makes a pot sized bet and has four times 
that bet left in his stack. 


POT 


VILLAIN BITS 



REMAINING STACK AFTER CALL 



One way to look at this is as follows. If we are on a draw that hits 20% of the 
time, roughly a flush or straight draw, then we will lose four bets chasing this 
draw for the one time it hits. When we hit, we will get the two units in the pot 
for sure. Over the course of these five trials, that means on average we are losing 
two chips, or 0.4 chips per try. 


4:1 ODDS (20% WIN) 



We need to make up those two chips when we hit just to break even. The 
Villain sometimes will give us the remaining four chips in his stack when we hit. 
If we can get those four chips more than half the time when we hit, we are going 
to profit. 

To state this a second way, if we call, the final pot will be three chips and 
w r e have 20% equity in the pot. We are putting in 33% of the final pot. Because 
we put 33% of the money in and only collect 20% back, w r e lose 13% of the three 
chip pot. Doing the math exactly we see that three times 0.13 is 0.4 chips. 

We are losing 0.4 chips per trial. We have five trials so we are losing two 
chips over the five trials and we need to make that up. The four chips left in the 
stacks will do that, if we can get Villain to put them in when we hit. 

Let's do this a third way, this time with the hunting method. We would say 
that we know our draw will brick four times for every hit. We look around for 
four times our call. We see twice our call hi the current pot and four times the 



call in the remaining stacks. This means we can profit two units when we hit if 
we get it all. 

These are all different ways of saying the same thing. Use the thought 
process that is easiest for you. The size of the pot and the actual numbers will 
dictate what is easiest for you to do at the table. 


Here is out next worksheet: 




2 ' 

f ’S 

j | 

_, 

K 

* 

J 


f s 

a 

i * 

vs. 

f -‘'S 

A 

J 

t 1 

3 

v y 













Pot: 4 100 

Villa bets 4 £0 

AkV^K^t bdhlwd 4 200 

Pot Odds:_ : 1 

Tlru*L pot would be:_. 

Your call would bd % _ 

of the, fiMl pot. 

Outs:_ 

Equity J_ 

Odds: ___ : 1 

PKO-flt: f_Mfltedwp:£ 

call Fold 


We already know how to fill in most of the parts of this worksheet, but we 
will work through it again. 

First the pot odds: $180 for S80. We find two “S8Cf for SI 60. That is $20 left 
over and $20 is a quarter of the call of S80. So we found 2.25 times our call in 
the pot. We enter that number. 

Hie final pot will be $80 times two. SI 60, plus the original pot of $100 for 
S260. 












Now we want to get our call of $80 as a percentage of the pot of $260. We 
know calling a pot sized bet means we put in 33% of the pot. This was a little less 
than a pot sized bet, so we can round it down to 30%. The actual number is 31 %. 

Counting our odds versus top pair top kicker, we have all the flush outs and 
pairing our kicker. That is nine plus three or twelve outs. 

Turning outs into equity, we us the Rule of Two to double twelve and add a 
bonus percent for every four outs. That is 24% + 3% bonus for 27%. 

Calculating the drawing odds, there is 73% losses for our 27% wins. This 
means there is about three losses for each win giving us odds of 3:1. 


f > 

A 

O 

T 

/ > 
If 


it 

, + , 

Ca 

l*J 

J 

11 


f - 

A 

t \ 

fl 

NAS. 

f ■> 

A 

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3 

4 j 

l±J 



L j 













PDt: 4 1 00 

ViLlfhtA, bets 4 
Av^Qui^i behind 4 200 
Pot Odds: Z- £-5; I 

Fulfil pot would be: ^ Z-^Q 

Your call would be % 30 
of the fu^l pot. 

Outs: tZ- 
^Cjulty Yo ^ 

Odds: ? : i 

Profit : i _M£te£up:4_ 

Call =ev Fold 


Iliis is actually a really close call. We are putting in 30% of the final pot and 
collecting 27%. Stated the other way, we are getting 2.25:1 on our money and the 
odds against are at 3:1. At the table, we would likely say our return from the pot 
is essentially what we are putting in: $80. Doing the math away from the table 
we are more precise and see it is $70 return since 27% of $260 is $70. Since we 
are putting $80 in and collecting $70, this means we are losing S10 on this call 
immediately. 













The odds, located just above that, say we will suffer three losses for every 
one win. We take that loss of S10 and multiply it by the number of trials we are 
working with: three losses and one win. We get what we call makeup of $40. 
When we hit our outs, we have to makeup $40 to pay for those four $10 loses. 

We look at the amount behind, $200. This $200 is bigger than our required 
makeup of $40, so calling is at least an option. When we were doing problems 
earlier the Villain was all-in, so the amount behind was zero. This meant they 
could not pay our makeup when we hit. Sometimes there is money behind, but 
the amount behind is not enough to pay our makeup so it is a clear fold also. 

The question of us being able to make that $40 on the times we hit is beyond 
math. Knowing the math gives you the numbers; poker sense can make the 
assessment of the likelihood of getting paid off. 

Check the box if you would call or fold or if you think it does not really 
matter because you will break even. This is a judgment call in situations where 
there is enough money left to pay your makeup. 

In this specific example, if we put Villain on a top pair with better kicker, 
then ask, “If we spike our two pair on the river will we get at least an additional 
$40 considering that the pot is already $260?" Most people would say this a 
virtual guarantee. 



We would also ask, “If we hit our flush, will Villain pay us oft?” Some 
Villains would actually check-fold to a rivered flush, so this is less of a guarantee. 
If we bet SI DO when our flush conies, will the Villain call at least 40% of the 
time? Most players would think so. If we bet S200 will Villain call at least 20% of 
the time? Again, most players would think so. 



f > 

A 

. * , 

2 

l*J 

f 

J 

K 

, , 


t 

r— \ 

A 


f > 

t ' 

A 

fl 

VS. 

A 

3 

4 

, 4 


4 , 

+ 

V___/ 

V___ J 


V_ S 

\ _ 


Pot: 4 

VlLUuia, bets 4 

behind 4 2.D0 
Pot Odds,: 2- B-3 ; i_ 

Filial -pot would be: 

your call would be % ?fl 
of the -fmal pot* 

Outs: 
e^wt-ty 
odds: 5 : 1 


PrD'fut: $~f6 Mak&it'fi:^_0 

x call Fold 























The next questi on should be will we pay him oft" if we miss. We don’t have 
the action leading up to this decision, but under most circumstances that would 
have gotten us to this place, we would not pay oft" with top pair no kicker. 

Because we will know when our hand has improved but Villain will not, we 
would make this call. 

Without knowing the action to this point, the math can only tell us if this is 
a dear fold because there are not the implied odds to justify a call. The math can 
only tell us the proper implied exist, but not if they justify a call. 

Let’s do a second problem. In this case we are going to put up our draw 
versus the best possible hand for this board. If we can justify a call against the 
current nuts, then it is usually worth making the call no mater what Villain 
holds. 



( \ 
3 

. ♦! 

\ 

a 

♦ 

L ^ J 

/-\ 

5 

L— ^ J 

J 

.*J 


r-■> 

Q 

JJ 

f -> 

a 

VS. 

A 

A 

t 1 _ 

* 

K 

il 


Pot: 4 BO 

VlUtfUi eets 4 Ts 
behind 4 y~ 5 

Pot Odds: _: 1 

Pliant pot would bo:_ 

y our call would bo % _ 

of tho fli^nl pot, 

Okts:_ 

^wtty ^_ 

odds; _ : ± 

Profit: f_M«leewp:4__ 

call f old 























Lets calculate pot odds first. The Villain is betting essentially pot, so we are 
getting 2:1 on our call The final pot is S230 and the call would be 33% of the 
final pot. 

Counting flush outs, we have only seven since the board pairing flush cards 
are false outs. Then we also have the non-flush Tens for another three outs. These 
are all nut draws that can overtake even the strongest hand on the current board. 
A total of ten clean outs is 20% plus two bonus percent is 22%. It is easier just to 
call this 20% though. This is a conservative estimate and makes the math easier. 

For the odds, if we are 20% to win, we are 80% to lose. This is a 4:1 ratio. 

Since we are putting in 33% of the money and only taking out 20%, we are 
losing money on this deal immediately. We might be able to get a win by calling 
this bet and making a hand and then getting more money in the pot. In a real 
situation, we might also consider making a raise here. That is a different kind of 
math, and we will get to it in something called fold equity. 



3 

1 

Q 

» 

f \ 

5 

t 1 J 

' J ' 

. v. 


1 

r— 




r 1 -> 

c * 

Q 

\ 

0 


VS. 

A 

K 


* 

- _ / 


HJ 



Pot: 4 20 

viiln Ln fcets 4 y -5 
Amount behind 4 7~5 

Pat Odd s: ? : 1 

Ft^flLpot would hi: 

Your c$LL would hi % ^ 
of the fiMl pot 

Puts: 10 
e^wtty g.g 

odds: ^ : 1 ; 


Profit: ^0 Makeup: ^/5fl 

call =ev x fold 































To find out how much we are losing on this call immediately, we know we 
put in 33% and take back 20%. That means a loss of 33% - 20% or 13% of the 
final turn pot. 

Thirteen percent is not a nice number to work with. We will do this 
calculation in two easier pieces: 10% and 3%. Ten percent of $230 is $23. The 
remaining 3% is about a third of this $23. That is about seven dollars. Add that 
on, and we are losing about S30 on this call. We will miss four times for every 
win. Tliis means over the five trials, we have to make up $150 (5 * $30 = $150) 
on that one time we hit. 

The Villain only has $75 left, that means even under the best scenario 
where we get paid off every time we hit, we are taking the worst of it against this 
particular holding and should fold if we knew this is what he had. 




2 


J 

♦ 


K 

♦ 


f - “*1 

m 



'-\ 

I 

-^ 

A 

Q 

vs. 

A 

3 





l±) 


Pot: 4 100 

vUimn bets 4 

Avu . au iA,t behind 4 200- 

Pot Qrtsk:_: 1 

tlruaL pot WOK-W bfi:_ 

Youtr cot LL would be % _ 

of the flkW^lpot, 


Outz : 


Ddd£>: : i 


Profit : 4_Makeup:;!_ 

call =ev Foil 



10 

? -'—\ 

4 


l V 


- 1 

10 

vs. 

'-\ 

J 

A \ 

Q 



* 1 * 

v 1 J 

*f* , 



Pot: 4 7~5 

villain bets 4 75- 

Avuouwk behind 4 15"O 

Pot Odds: _ : 1 


Fu/UtL pot would be: _ 

Y our tali would be % 
of the fL^Lpot, 

QutS: 


Drifik: _: x 



eopj-ty 


Profit: 4_ _ Mflte£up:j;_ 

Call =EV Harold 












































A 

^ V 

A 

\ 

R 

r- 

■* 


it 

.♦J 

Ji 

V 

L vj 

o 

t vj 


/-N 

/-*\ 


-^ 

-\ 

A 

J 

vs. 

K 

Q 

, ♦, 

J 


V 

T > 



Pot: 4 35" 

VilLatw, bets 4 20 

Awiouvrt behind -4 1 5D 

Vot OMZ: _ : 1 


FLyuiLpot wokld be; _ 

Y our call wpwid b t % 
of the fiktflLppt 

Ow±S : 


Odd%\ : l 



Bo[uLtQ 


Profit : 1_ _ 

Call =^v 


Mftte£wp:+ 


Fold 


* > 

A 

4] 

f 71 

f m \ 

5 


* 

♦ , 

L 

_$J 

* 

i 1 J 


r-\ 

<<> 

/ -\ 

a 

VS. 

K 

.♦J 

f " 

K 

v_±^ 


m : 4 y-5 

vUXft'uA, bets 4 45" 

AmouiA* behind -4 ±20 

Pot Ddd^: _: 1 


FLi/uiLpofc would be: _ 

Y our call would be % 
of the fmat pot. 


Outs: 


Odds: 


: 1 


Profit : i _Mflteeup:4. 


call =ev Fold 


Answers: page 2 it) 





















































vs 




Ppt: 4 &0 

Viliam bets 4 &0 
Aw&uiAfc behUuJ 300 
Ppt Odds: __ : ± 


FLi/utL pot would be: _ 

yputr chLL would be % 
of the fmflLppt. 

DutS: 


Odds,: _ : x 



Equity 


-profit : J_Mfiteeupi _ 

call m=ev □ Fold 


K 

*, 

10 

♦ 

— 

< 4^ 

K 

\ 

K 

Y 

VS. 

/- 

A 





Ppt: 

4 l: 



Villain, bets 
Amount behind 

Ppt odds,: 


4 To 

4 3 DO 
: 1 


Plvutl ppt would be: _ 

ypur &aLL v/ould be % 
of the, filial pot. 


DutS,: 


Equity ^ 
Odds: : 1 


Profit 11 _Mflteeu.p:£ 


call 


EV 


FoLd 











































f - V 

C^* 4- 

k_ 4 

'2' 

♦ 

i* V 

J 

4 

/ \ 

3 

.*J 





r ^ 

/-\ 

7 

7 

VS. 

A 

K 

JJ 

4, 


JL 1 

l*J 


pot: 4 ^ 

villain, bets 4 ^5" 

behind 4 
Pot Odds:_: 1 

FwutL pot would be: __ 

your call would be ^_ 

of the filial pot. 

Outs:^__ 

equity ^_ 

Odds; __: i 

Profit: jf_Mftteeup:4 

Call =^v Fold 


■\ r 


9 


7 


4, 

.*j 

JU 

t 1 j 

4 

. t j 


7 ] 

'8] 

vs. 

r 

8 

fibl 

LLI 

4 1 

*._i_/ 



lii 


Pot; 


4 y-o 


villain bets 4 45” 

Awm unit behind 4 
Pot Odds: : 1 


FmaL pot would be:_ 

your octLl would be % _ 

of t Vie fiw& L pot. 

DutS:_ 

equity ^_ 

Odds; __ : i 

Profit; ^ MCI fee up: 4_ 

Oct It =ev fold 





















































Counting Combos 

We know what our hand is, but we do not know what the Villain has. We 
can guess that he holds certain hands, like a set or top pair. Some hands are rare, 
like sets, and some are relatively common, like top pair. We count combos to 
estimate the likelihood of each holding. The set of likely hands for the Villain to 
hold is called his range. 

This book is not about constructing a range for the Villain. It is about doing 
the math after you have decided on that range. Read How to Read Hands by Ed 
Miller (buy it at http://RedChipPoker.com) for ideas on how to construct ranges. 

Out of necessity, we will be constructing ranges to work with but do not 
claim them to be realistic. We just need something to work with. 

For simplicity in these exercises, we will assume Villain has only hands 
from tliis range: 



[XJtj | KTtj K^| ;^i |K T i| Kfl*JjK5j |K4sJ:X3*j|K2*. 

[QflsjQTsj(Q&||Q3s [Q4=| Q3sj|Q2 j 



u 

KJe QJa 

U™J£I 

|JSi 


«4[ 

Jto 

H 

J3,j 

[J7s 

lATo 

KTo QTc 


Ills 

|T7s 

16: 

T5* 

;T4s| 

I3*j|T2»i 

jASo 

KSo.QSo J9 d|&9q 

y 

pft 5 

97s 


S5s 

L 9 H 

Mil 

92e 

jAflo 

QSa 

3So TSo 

m 


37* 



|S4s | 

53* 

\*'* 

(AToj 

K7d Q7o 

""o 7 - f? 

r* 

f'p 

Ud 


[74s- 1 


[g»j 

A 6 c 

i.6c Q6 q 

36o tfs? 

S6o 

!&6o 

j 76a 

u 

&5s 

iFJ! 

63» 6Il 

(A5fl 

K5ej Q5o: J5o Tic- 

95a :■ r o 

[ 75c* 

450 

55 

H 

FiF 

A4d ,K4c‘ Q4c 

. r 4o T-c 

£4: £4d 

74a 

64a 

?4d 

i(*j 

25.1 

42s 

A3? 

KJlvQAj; 

23o jT3o 

93a 5.3 o 

;73o 

43a 

23d 

43o 

33 

[kTj 

: A2o 

K2o!Q2o 

• 

[no T2o 

92* 

&2o 


,KoJ 

jZr 

42 0 

?2o 

VI 

1 — 



:*S C0Djbe5 IE pfEdcp 

njiff 






0 % 


n.«i 


Tills is Ed Millers opening range from the early positions as outlined in his 
video How to Beat S2-S5 Anywhere . This can be found at 

http://RedCliipPoker.com 

in the May 2014 Pro archive. Remember the suited cards are above the 
diagonal. 











Here is the new worksheet. 



A 

'k' 

- 

3 

j’ 



M 


4* 

_* 

M 



0 

0 

vs. 

t 1 

A 

10 


• 

k _ J 

■ 

k_ J 


4* 

s,_ : _, 

4* 

\_ s 


FLutsh draw ___ Combos 


Str & Lg ht 


pair 


+ 


shot 


5£t 


combes 


Combos 


Combos 




















We need to count how many of each hand type is possible for Villain to 
have. 

Lets look at the Club flush draws. We are looking for any flush draw in that 
range that does not have an Ace, King, Ten or Trey {since they are on the board). 
The Ace and King are in most of the flush draws, so there are actually not that 
many, just five. 

Heart flush draws are a little more numerous because King high flush draws 
are not blocked. There are eight flush draws in Hearts for thirteen total. 

Flush draw combos are the hardest to count. In the Appendix there is a 
method for counting combos quickly that is a decent approximation. This 
appendix is a reprint from the strategy book Poker Plays You Can Use , also 
available at http://RedChipPoker.com 

Straights are easier to count since there is only QT. The stated range only 
includes suited QT so there are four combinations. We hold a blocker, meaning 
Villain can not hold QcTc, so there are actually only three suited combos for 



him. This is only one combination blocked, but that was 25% of the possible 
straights. 

Finding the pairs plus gut shots is a bit more challenging. Any hand with a 
Queen or a Ten and another Broadway card has a gut shot plus a pair. Looking 
at a computer tool, there are 39. 

Sets are easy to count. If the board is unpaired and we hold no blockers, 
there are three sets per card on the board. If we hold one of that cards rank, then 
there is only one way for Villain to have a set. 

This means there is one set of Aces, three of each of the other sets. The only 
wrinkle here is we don’t think the Villain would play pocket Treys, so there are 
just seven combos of sets on this board. 




Flush ctirflw 


ft 




straight 


pair 

+ 

shot 


set 


J 

7 


&DkVLb£>£ 


Combos 


CdwOqd$ 


If we think Villain could have any pair plus gut shot draws* there are lots 
of them. We will rarely be concerned about an accurate count* but getting an 
intuition by counting combos over and over is important. 































Since this counting of combos is difficult to do exactly, consider a computer 
tool like Flopzilla to count the combinations. Fill in the worksheets with FlopziUa 
to get the intuition of the relative frequency of each part of the range. 




r -— 1 > 

9 

9 

vs. 

A 

io 

■ 

^_> 


L-L 

•f* 

-.^ 


Flush draw 


Combos 


Straight 

Pair 

+ 

£|Wt shot 


Combos 


Combos 



Combos 



uus 



Is* -i91 


KJd IQJo; 

ATo 

ETb.QTtfl 



AJs i .ATs : A9i liAflillA ■ i! A6 b |. AS ■ j| A4s j«A5iI A2s I 


KJ*j^KTa[K&aJ 

QJj: QT&l QPe :qSj QTs Q6: Q5i Q4v Q5s QZi 


A*> K&o Q&e iPc T3p 

QBdli&cj TSq no 


ASo 


tSo 


U |p 8 i. ■ - ■■ 93 s|pjj 

U 


Fv Tp 91o S T ( 


Fsl 36s S1 e Ui fi.'s $2s 
7fo| 75, |74l|j73*| 72* 


K"o Q 7 p 

Aflc: SCfio QGo ,-fic jj5l? 96* Sfo k-.-iiSjs, 64s 1 43i 62a 



[A_1o K2c Q3c J5-o T2c 95o E3c ‘5a fi5o 5' 1 54s 53s i-32s 


A4o K4o Q4c J4c T4o 9 4c i-r '4o 54g 54a 4-! 43s | 42? 
|A3o EJ Q3flj|.J3o|i'nft|.-93bi|jWiiJ[73*J|©& 53oj[43* 32s 


|A2o K2 d QIC- ;:c T2oj 92c £Id "2a 62 u 52 d :2 c 

I 1combos ie preflop nmfc 


i2o 21 


_ 


_ 


Va 


:i 6*'* 



























































FlM-sh Ptrflw 


Combos 


Three of 
a fet^d 

ope^i 


Combos 


Combos 


Two Pmr 


Combos 






VS, 


9 ■ 

* 1 * ♦ 

Full House 

Combos 

Combos 

Three of 
n felr^i 

Combos 

TWO Patr 

Poo feet pfllr 
below tp 

Combos 


Answers; page 232 





























































I AX* 





£*§ 

Kiij 

Xli 

•. 


Q^j| KJ^j[KT*J t K 9 ij v - :< f - ?:■ :<•■• 

lM|S|Q9a |QS*j | Q7»j | Qlaj |Q ^: QZs 

KJcl QJc yaa JSl !l^l, Jfa |l J3s :I |j I ^ 

^ Jjpij ■;• :•• t ' 



jA9oj K9d jQPp t ;pp 9^5J Mij| 55ij(*U| [93>] - 93» 

:TBo 9So 


A Sc KSo 



97sJ S5: S3: - bJ E 9_’s $2: 


-V Qo v'd "■- -"•- * r '- "■ - "■' 

Xfio.lQSii’IJfioi-TGa. Me £ 6 all Tfol SffM fiSiJfiAil!* 5 s j 62 s 


Lfio 


■A3dX5u ( Qio: J3 d ||T3u! Mo |S3o 


"3a 


63q 33 i 5Js 33s 32s 


t,-Sc K-d 0*p .'-c T-io 9-Po £-k> *4-3 -&Jo :-o 4J 43s j 42s 
|A3o|K?> ' :.’t °l# .Sjo)["jp|:C3o i3*| 33 32s 


|A2o| J£2 d. :Q2o. f pc T2o Mo . S2o j | T2o| [Co 32o 142oj |. |2oj 

I i!Y& combos id preiSop nm=e 




_ 




VS. 



C^kubpS 


Combos 


CtffttbPS 


Combos, 































































r i 

4 

l + J 

r 1 

4 

, , 

10 

l*j 

r ’i 

5 

J 



f -*N 

0 

■ 

t-J 

/■ -s 

0 

V 

L- j 

vs. 

/■ - 

J 

♦ 

_W 

t *, 

J 

Jl. 



Fwll H-ow.se Combos 


overpair _combos 


Top pfltr _Combos 


Three of 

o feew-d _Combos 



Fwll Howse 


Co mbos 


Overpatr 


Combos 


FwLL hfowse 


Combos 


Three of 
a tetw-ol 


Combos 














































Hand Versus Range, All-In 

We can estimate the value of our hand versus any given holding. We know 
how to count the combinations of hands in the Villains range. Now we combine 
the value of each hand and frequency of each hand to choose our action. 

In these problems die Villain has shoved so we are not concerned about 
implied odds. 

To accomplish this section you will need to fill out the familiar forms that 
calculate the profit of a hand versus a hand. For instance the first hand versus 
hand in this section will be AJo versus KQs. Hie small worksheet calculates that 
this is a break even scenario with SO profit. We would then enter this profit on die 
separate combo counting worksheet on the facing page. Next we find the profit 
versus a set and versus two pair. Once combos and profit are both calculated, we 
multiply diem out. Once multiplied, we sum. This final total represents die profit 
or loss if we played out every possibility once. If this total is positive, we should 
make the call. If it is negative, we should not., 

It can happen that some hands in the Villains range give us a win, some a 
loss., We want to know what happens overall. 


Top pair 


set 


TWO Pair 


3 

K 

k 

A 

l *J 

j 9 


" - > 

0 

■ 

L A 

* -> 

V 

k,_ J 

VS. 

f - 

K 

f -^ 

Q 

JL 



V) 


7 


// 


Combos 


Combos 


Combos 


X 


X 


X 


0 Profit 
"^0 Profit 
^ Profit 





CflLL =EV Xfold Total: "W 

























We see that we lose $610 taking this line if we play against every hand in the 
range once. This means over the 48 possible combinations, we on average lose 
about $13 on an $80 call. 

This loss is small enough relative to the size of the pot that players do not 
notice it in the natural variance of poker. These small losses add up. Players that 
call with the flush draw in this situation do not lose because “they never get 
there.” They lose because it is a bad bet and the odds are against them. 

A simple short cut was the possible here. If we expect this is likely to be a 
fold, start with the weakest part of the range. If we can not profitably call against 
the weakest hand, then the rest of the math does not matter, just fold. 

If our intuition is such that this is likely to be a call, start with the strongest 
part of the range. If we are good to call against the strong hands, the weak hands 
they might show up with are just a bonus. 



What about bluft’s? If we want to factor in bllifts and semi-bluffs into the 
Villain's range, the math is exactly the same as any other holding. If we spend 
the rest of our low limit poker career assuming that big bets on the turn and 
river are never bllifts, we will do just fine. Remember Rule two from Miller’s The 
Course : Stop paying them off. 




K 






vs>. 




Pot: 4 ±00 

villa E-ia, s hovasi 4 Sio 

Pot Odds: _ : 1 


Pw/UlL pot would be:_ 

your tall would ba %_ 

of tha ftkUil pot. 

Outs:_ 

^_ 

odds.: ___; i 

Profit : f_ 

Call =ev Fold 


’3' 

1*. 

/ - \ 

K 

1 

t 

A 

JL 

/ > 

9 

4 


f - 

■y 

f \ 


f -\ 

tt 


3 

3 

v<s. 

K 

Q 


UL 


y . 

y < 


P0t: 4 ±00 

vtllflE-k, Shoves: 4 So 

Pot odds: _: 1 


PIia-aL pot would be:_ 

y our tall would ba % _ 

of the fivuzl pot. 

Outs:_ 

Equity *£_ 

odds: ___ : I 

Profit : +__ 

call =^v DFold 







































f ■* 

** 

\ 

V 

A 

Q 


o 

V, 

A 

♦ , 

L T J 

A 

jl 

w 

A 

1 J 


r-s 

A 

( \ 
K 

vs. 

t ■> 

K 

r"-\ 

a 

+ . 

l + J 


l*J 

JL 


Pot: 4 ±00 

villain Shaves: 4 
Pot Oddi: _: 1 


P'ua&L pot WOW.LM bf:_ 

your call would be % _ 

of thd ftaffL pot, 

Outs:_ 

Equity ^_ 

DddS: _: 1 

Profit : i 

CflLL =^v Fold 


Atti Uffi, 1 p£J££ 234 



































KJs 



.TsiHBsllKgs, K7* k 6s K5s &4s K3s K2s 

_J •_- -_ K _■ k_• ■_ J •._• 




gajgj^^iy|Q9s QSs |QTs Q6 s Q5s Q4s Q3s Q2ji 
KJ c [QJoi 



F% 


J4a 


J2s 


ATc KTo QTc JTo 


I9&I TSe 


T6s T5s 


A9o 
•,_■ 

K9c 

Q9o 

J9o 

|T9o 

k ilggsj 

ASc KSc 

QSo 

JSo 

TSp 

9$o 

9 

|A7o| 
*• _J 

&7o 

VkM0 

Q7e 

Fl 

T"o 

97o 

- -J 

S"d 


T4s T3s T2s 

J \_L_ * 


95s 94s 93s 92s 



19$ combos m prsflop rang? 


—i—nirrfliwi 


or: 


2i.6% 

















































































































































































































































































































































































3 

.*J 

K 

L * J 

'-^ 

'9' 

♦, 

* --— J 



0 

■ 

* > 

0 

■ 

vs. 

Y 

Q 



Top "pair _Combos • x - 


C0Hd30£ X 


Corw.bo£ x 


set 

two Pa lr 


'Profit 


Profit 


Profit — 


ORli — 6 V FoLd Total: 

























f y 

4 

/-^ 

3 

{ 

9 

/ -V 

3 



*$• 

l. J 




f - 

A 

f ‘N 

J 

VS. 

f % 

fl 

f -\ 

a 

•f* 

J 


L- 1 J 



POt: 4 ±50 

villain Shoves: 4 $?0 

Pot Oddi: _: 1 


FmtfL pot WOW.Ld lfl£: _ 

Your oaLL wokLrt be % 
of the pot, 

Owts:_ 

E^ity ^ 

Ddd$>: : 1 


Profit : i__ 

call n=ev Fold 


A 

f 

•z 

-“'S 

Q 

•z 


Ft 

o 

L J 

y 

•I* 

L - J 

O 

k *J 


f -\ 

f 


/ - 

r-\ 

K 

K 

vs. 

0 

0 

JL 

l±J 



i*j 


POt: 4 150 


vtlLfltn. Shoves: 4 

Pot _: 1 

FLia,aL pot would be:_ 

yoixr call would be % _ 

of the fLi/uiipot. 

Dwts:_ 

equity ^ _ 

odds.: _: i 

Profit : t _ 

call = ev Fold 









































Pot: 


4 i. 50 


Villain 3 il 0 V£S: 4 

Pot Odds: : i 


Flia-^L pot would be: _ 

y our call would be % 
of the ftkvfll pot, 

Outs:_ 
Equity ^ 

Odds: : 1 


Profit : +_ 

call =^v fold 


f 

4 

3 

9' 

/-N 

3 


4 

t J 

L 1 j 

* 

t j 



r - 

K 

f \ 

9 

V<S. 

f 

fl 

r“- 

a 

4 1 

4 


4 1 

1 v 


Pot: 4 ±50 

vtllaL^ shoves: 4 ? O 

Pot odds:_: 1 


FmaL pot Would be:_ 

your geLL would be % _ 

of the pot. 

Outs:_ 

equity ^_ 

Odds: _: 1 

Profit : +_ 

C-flll =ev Fold 







































KJo QJo 

ATc KToj[QToj[JToj ^ 
A9c Oo Q9c J9o 79 c 




J 6i 


I T9sl TSs T7s 


98s I 9-s 96s 95s 


XU KSc QSo JSc TSc 


A7c K7 o Q^o Pc T7c 

J6c 


_-i6c 


K6c 


Q6o 




|Kis| 

J 

K45 

k_ f 

[K3s] 

[K2s 

V M 

Q3s| Q4s 

[q3|] 

IQ2sI 

J5a 

L J 

i7.l 

J3s 

1 J2s 

T5s 

. j 

|T4s| 

T3s 

K, _ J 

T2s 

95s 

L J 

94s 

l93sj 


B5s 

84s 

S5s 

l J 


75s 

74s 

j 73s j 

72s 

k. J 



L 2_J 


64s 


A5o K5o Q5c J5o i5o 95 o 


S5o 5c 65c 53 


54s 


63s 


55s 


64s 


52s 


A4c 


IUo 


Q4o J4c 14o 94o 


$4o 


"4c 64c 


54c 


44 4;s 42s 


,45c K3o 
A2o K2c 


Q3c 


Pc T3o 


Q2o J2c T2o 



55c 


45c 55 52s 




0 


42c 


32c ry 



I9S combos m preflop ranf* 


W//////A 




n.6*< 































































































































































































































































































4 

4- 

J 

3 

/ \ 

9 

4* 

■ 3 ' 

V, 



* - > 

/* - \ 


* \ 

/ ' 



0 


v<s. 

Q 

Q 



■ 

h.__ i 

* 

t_ d 


l*. 

l*J 


fLw£^ rfrflW 

Combos 

X 


Profit = 

ovtrpftlr 

Com bos 

X 


Prof^ 

, = 

Weuteer 







Dvtrpftir 


X - 


Profit = 

Top pdtr 

Combos 

X . 


Profi-t = 

□ < 

3a ll 

— 

6V 

fold 

Total: 






































4 

/* ^ 

8 

if \ 

10 

/ \ 

2 



4 

4 , 

, * ; 


9 

f \ 

J 

v<s. 

/■ \ 

8 

/ \ 

10 




1 J 

* 


pot: 4 ^ y~o 

Villa iKSh oves: 4 ^-20 
Pot Odds: _ : ± 


plKRl pot would lc£: _ 

Your call would be % 
of the fivuzl pot. 

Outs:_ 
tqul ty f Q 

odds*-, : 1 


Profit : +__ 

call n=ev Fold 


4 

v. 

f ^ 

8 

4 

10 

L ^ i 

f \ 

2 

+ , 


^ > 

10 

v. 

/ ■> 

j 

i vj 

vs. 

f ^ 

8 

f \ 

10 

k j 

Pot: 

4 i^o 

ViLlflLkv, shoves: 4 ^-20 

Pot Odds: : 1 

FuA^aL pot would be: 

Y our oall would be % 
of the ftkual pot. 



O0MS: 

Outs: 
equity ^ 

: i 


call 

Profit : + 

= 6V 

Fold 







































f 

4 

/ \ 

8 

id 

r- 

2 


v. 


♦ , 

•I* 


^- 

Q 

fl 

vs. 

/ s 

8 

r \ 

10 


4 


I *f* 

L J 



Pot-. 4 ±y-o 

Vill&M shoves: 4 
Pot Ddd&: _’ ± 


fiviai pot would be:_ 

your u all would be % _ 

of the fLv^aL pot. 

Outs:_ 

equity *% _ 

odds*; m _: 1 

Profit : +_ 

call =ev fold 



4 

L 4 j 

Ljl 



r“-\ 

8 

— 

8 

vs. 

/* - s 

8 

f - 

110 




. * , 

•f* 

Vl J 


Pot: 4 1^0 

villain shove s: 4 120 
Pot Odds:_: i 


Fulfil pot W Quid be:_ 

Y our cM would bt %___ 

of tbs pot. 

Duts:_ 

equity _ 

Orfds: _t 1 

Profit : *_ 

call =ev Fold 









































A s 



Kfts lKSs tos K6s! X5s K4s K3s |K2s 


T*j Q9s QSs Q'i Qfe Q4s Q3s Q2s 


J9s JS5 .175 J6s 


J5s 


J4s J3s J2s 

1 _*_ 1 _J 


T9sl TS> :6s Tjs 



T4s T3s 


T2s 


.■^o j |K9oj |Q9o j j J9o iT%|^|9Ss| r, 96sj [95aj[»hj[»3s 


92s 


A So KS^ilQ&o J$o 7Su 9&o 


87* U& §5? S4s S3s 


A7o K7t> 


AGo K6c Q6c 


A5o too 





83 ‘) 

S2s 

b J 

173*1 


L J 

V-— J 

hi 

625 

:js 

52s 

Usil 

4; s j 

IL J 

l J 

33 

52s 

l i 


32o 

*>■1 

'■■I 

% / 


19S ccrabos m: preftop range 


_ 


0 % 


il.6% 

















































































































































































































































































































opeiA. 

t\A,dtr 

TOf fair 
ovtYfalr 

Si t 


4 

81 

r i 

10 

p' ■ 

2 



♦ 

^ 


X J 


f 

0 

r-^ 

vs. 


<-"i 

10 


* 

i d 

• 

V__> 


* 

t> 

■f* 

^__ J 



ComboS X 


Profit — 


Combos x 


Profit 


Combos X 


Profit = 


Combos X 


Profit — 


call =ev Fold 


Total: 




































f 

o 

-\ 

A 

ft 

/-*\ 

A 


u 

•f* 

u 

u 

u 

4 

1 j 


r“-\ 

6 

/■- 

A 

v<s. 

— 

ol 

fll 

4 

L d 

* j 

L J 


v J 

4 1 


Pflfc 4 140 

Villaivi & hoves: 4 100 
Pot OddS: _: 1 


plvttfl pot WOUld be:_ 

your call would be % _ 

of the pot. 

Outs:_ 

equity ^_ 

odds: __; i 

Profit : +__ 

CflLL I =ev Fol d 


O 

/- 

A 

A 

/-N 

A 


u 

4 

U 

U 

_ 

U 

4 

1 j 


^ \ 
7 

r y 

7 

VS. 

f -\ 

fll 

f -\ 

a 

4 

>J 


V. J 

4 J 


Pot: 


4 140 


villain shoves: 4 loo 

Pot odds: _: 1 

Flvu*L pot would be:_ 

your call would be % _ 

of the filial pot. 


odds: 


Outs:_ 
equity ^ 

: 1 


call 


Profit : +. 
= 5V 


Fold 

















































f 

0 

A 

A 


A 


M 

4* 

L J 

O 

M 

U 

__, 


L) 

4 

x J 


k 

Y 

vs. 

J 

q' 

a 

+ 

l j 

L±J 


L HE* 

V J 

1 4 . 

\___j 


Pot: 4 1+0 

villalui shoves: 4 100 
Pat Odds:_: 1 

Ptvuzi pot would be:_ 

your mil would be % _ 

of the ftvvflL pot. 

DutS:_ 

Equity f a _ 

Odds: _: 1 

Profit : i 

call =^v Fold 


O 

/ - \ 

A 

f -\ 

A 

/■ - 

A 


u 

+ 

v V 

U 

M 

u 

LLI 

U 

4 

s- 


A 

K 

VS. 

a 

f 

a 

UL 

♦ 

V A 


* 

L J 

4 

v_ x _> 


Pot: 4 1+0 


VILLhli/l Shoves: 4 100 
Pot Odds:__: l 

Fulfil pot would be: __ 

your call would be %_ 

of the fiw&l pot. 

Outs:_ 

Equity g_ 

Odds: : ± 


call 






Fold 





















































A5s 


A4s A3 s 


kcs : os 


Os Os K7s Kfe K5s K4 S 


Os 


A2si 


K2‘ 


|^p|mp| Q?s||QSs| Q"s !Q6sj|Q5s||Q4s| Q3sj[Q2i 
J9s! JSslIrs J6 j i J5s , J4s J3s J2s 



AjO K5o Q5o J3o i:c 95 a S:*o 15 c 65o 55 


A4o X4c 


Q4o 


J4o T4 p 194o 


AM 


K3o 


Q3o 


J3o T3c 93o 


A2o K2v 


Q2o 


J2o 72 d 



43s 42s 


53c 43o 33 


32s 


‘Jo 


42 o 




■n 


19S combos In pt^rlop range 


0* 


. & 


31.6% 






















































































































































































































































































































Mobster 


weaker 

Overpaid 

overpair 


Nut 
No Pair 


/-> 

o 

A 

A 

u 

t 1 J 

u 

U 

.. Jl 

{ -^ 

f-V 

r 

0 

■ 

0 

m 

vs. 

^_> 

K _ S 



Combos -*- 


Combos ^ 


Combos X 


_Combos X 

cal i =ev 


a 

_/ 

_Profit — 

Profit ~ 

_ Profit = 

_ Profit = 

Fold Total: 



































Hand Versus Range, Implied Odds 

In this section we are using a very similar worksheet as before. In the earlier 
sections, the Villain shipped all of his money in on the turn. In this section he 
bets but has more money left for a river bet. 

The caE decision is more complicated when there is still money left to bet 
on the next street. Hie money left behind after the bet and caE is referred to as 
implied odds. We never know if Villain is willing to put that money in the pot 
later, so we need to guess. 

Here is an example of a completed worksheet for the next section. We 
will use this to estimate the profit or loss of this hand versus hand match-up 
including the implied odds. 


f 

CO 

/ rj s 

9 

/■-' 

5 

-' 

3 

* 

„ 

L ^ > 

* 

V. 1 , 


f y 

A 



z'-^ 

1 


9 

9 

vs. 

A 

7 




li_ 

^ . 


POt: 4 &Q 

villa'un. bets 4 45 

Av^ou^t bthivui 4 
Put Odds: ^3.i- : 1 


Fwa.£iL put wuwtpi be: - - :i o 

Your ofrll would be % 3£- 
0 ^ the fiMtl put. 

Puts: 13 

equity 3 Q 

Odds: 233 : 1 


Profit : 


call 


= 5V 


Fold 


























The SO profit means we are breaking even every time we make this call. If 
the Villain were all-in, this would be a pointless call since we neither win nor 
lose on average with the call. However, after we make this call, there is $120 
in implied odds. Because the Villain has such a strong hand, we think we will 



get the remaining S120 most of the time when we hit our hand. Let’s be a little 
conservative and say that sometimes he will fold to the obvious flush. Discount 

J 

and sav we will only make SI00 when we hit. 


We hit 30% of the time, so on average we make S30 with this call in implied 
odds. 'Ihis is our average profit for this match-up of set versus combo draw r . We 
put this guessed number in the profit for the combo counting sheet. 



f -1 

6 

f - \ 

9 

♦ J 

f -> 

5 

l _ _ 

t -*i 

3 

.♦J 




^ 

0 

U 

t- -J 

f -h 

0 

* 

U. -J 

VS. 

A 

* -^ 

7 

. ♦, 















Dverpoiir 

CdrwJo£>£ ^ 

Cov Rtlos X 

■Strflkght 


set 

CcmbtfS X 


Co pubes X 


LCflU =^v 


Profit 


Profit — 



_ Profit = 

FoLflt Total: 


We need to be realistic about this guess. Sometimes you will hit your draw 
and the Villain will not have a strong enough hand to pay you off. In this case, 
your profit from implied odds might be zero. 


Lets look at another hand for Villain on the same board. 























Pat'. 4 

villain bets 4 45" 

behLi^o! 4 

Pi± Odds: ^,33 : i 

Ftv'vftL pot wqu.UA be: 1*5fl 

Y&vtK fi-flLL wouUt be ~-% 3g 
of the fmflL pot. 

Ou t&; _ 3g 
equity g& 

Odds: ai& : i 
Profit; ~ M0le£LHLp; 4 --v 

xCflLL H=ev DFolri 
































In the above match-up, the Villain bet into us with a dominated draw. 
Because we have such huge equity here, this S45 call into a SI05 pot already 
profits us S84. Barring bluifs, the only way more money is likely to go in is when 
the flush comes on the River. 

'lhe flush will hit about 15% of the time and we will get the Villains entire 
stack every' time.lhis 15% of the remaining $120 is about S20 more oil average. 
In the combo counting worksheet we will note that this match-up is worth about 
SI 00 ($84 + S2G} on average. 

When making these estimates, be sure to account for situations where you 
will pay off the Villain and count that as negative profit. 

Note that when we are ahead, the number of outs is huge. It is often better to 
calculate the outs from Villains point of view' in these cases, but the answer key 
will show' the large number of outs. 



8 

2 
♦ . 

3 

T 

4 

L-£- J 


f -^ 

J 

*F 

\. j 

f -^ 

J 

♦ 

VS. 

r > 

A 

UlJ 

f - 1 

7 


Pot: -f 5^ 

vLLLflEri^ bets 4 2-5 

Amount bibL^ 4 i2£i 

Pet Odds*. _: 1 

PuiA-flt. pOt WC'W.Lol bgl 

Yeur call would bt% _ 

of the flrtAl pet. 

Ou:t£i_ 

Equity £_ 

Odds: : i 


Profit : 4_ Mflfeewp:J_ 

Call =^v F old 


ft 

O 

*5? 

r 

7 

O 

, ♦ 

Li 

4 

♦ , 

/ 

4 


s___ J 





vs. 



Pcti 4 5S 

vLLUiu/i, bets 4 25 

Amount behind 4 2-20 

Pet Odds: _: i 

FunjaL pet would b£L 

your edit would be % _ 

of the fLifl-pL pet. 

Outs.: _ 


odds; : i 



Equity 


Profit : 1 

□call 


Mflte(Up:£. 


= 6V 


fold 






















































STfr f N y 


r -i 

8 

♦ 

r i 

2 

. *, 

r" 1 

3 

IL 

r ^ 

7 

.*J 


f - 'S 

3 

. v. 

f-> 

3 

^iL, 

VS. 

f - \ 

A 
. ♦ 

f -1 

7 

♦ 


Pat: 4 && 

vLLUs£la htti 4 25 

Am^wn-t bibl^d 4 3 - 3.0 

Pet Qdd&: : 1 


Fua^L pot would b£: _ 

Your e-tiLL be % 

0f thft fllAXjl 'pot. 


Du±£: 


DoWs: 


: 1 


Profit: +_ 

cm ll = ev 




Fold 


f- 

r*-\ 

A 



r-^ 

/- 

8 

. ■* . 

vs. 

A 

* 

7 

♦ 


Pat; 4 55 

VtLLflm. bits 4 
AnmHftt bc^Li^d 4 
Pot Qddn _: 1 


pIiaaL pet would be- _ 

your 6 hLL would be % 
of the fUvaL pot, 

Dut£: 


Odds: __ : ± 

Profit : f_MfffeMp;*_ 

Call =^v Fold 



b equity 


















































KJd QJr 


>,!>: K?»j [Kfej |Kjs tLAi U,sJ(K2 * 
QJsflQTsj Qfc Q8s:; Q7aj|q6a||Q5sj|Q4 s.,Q 3sj|Q2a| 
JTsliJSai JSsliJ7*ll Jfell J5*llJ4il)l3sl|j2» 


|AT»jjKT<j QT • 

A3 



,K3o Q9o J3o 73o 



. I 9 ‘h 


A3c KSo QSc JSo Tio ySo S7s| 85i 



Siii Mj 33s 92s 

L_ 

S lS E4; 83i S j> 


76*1 n 5s ||74s j|73s||72i 


fj?5 6Jj 

JL _ 


1 

Gh\\m 

_ 


A3 a 


•K5& Q5o J5o T5o SJo £5 d 75o- 65a 

u :■}[ • Jt JL Ji- w jl Jaiv 


51 54s 53$ 52$ 


.-.4c K4o Q4i5 J4 g 


m. 

A3o■ Kjc Q3e Jjc T3oi ?3<t S3 o 73c : 63o !3o 43o 33 32s 

I 


31 


T-o 


9Ao S4o 6-e :4o 44 41* 




42$ 


Alajpo Q7o J2*j 'nojpu j ^ajpoj 

S9S combs? £ tn prfftop rar,fe 


5:0 4io 32o :: 

__J ■ 1 » J . _ 







































































































































































































































f -> 

8 

f ^ 

2 

k___> 

f y 

1 3 

I ♦ 



0 

m 

r 1 

■ 

VS. 






Overpaid 


Combos 

X 

To p pair 


Ct>VH.b&S 

X 

set 


Combos 

X 

TWO Fair 


Ccmops 

X 


call 


£V 




Profit 



Fold TCtfiL: 





































n r 








vs. 




Pot: 20 

villa Li*, iiits 4 y-s 

behtp-ct 4 y~ ^ 
Pot Odds: : 1 


Filial -pot wokW be: _ 

Your call would be % 
of tJ nt fii'vflLpot. 

Ou ts:_ 

Odds.: 1 1 


Profit: i_Makeup-4_ 

Call =ev FdLpI 


x / 



Pot: 


4 #3 


vLLUabv bets 4 y~^ 

A^ouiAt belun,i?l -4 _? S 

Pot Ddcta:_: 1 


Fu/l£iI pot '//ouL^ be: _ 

Yowl r tali. would be ^ 

of the ftvL^L pot, 

Dut£;_ 
e^ccltLj J 

Orfds; : i 


Profit: 4_Makeup 4_ 

□ Call =^v F old 















































Pet: 4 

VtLLfliA bets 4 y~ 5 
bebZ-iA-d 4 ?5 
Pet Odds:_: 1 


Pistil pot would be: _ 

yei^r ohLL would be % 
of the ■flj'tflL |n7t. 


oddz: 


Du ts: 


equity ^ 



call =^v 


L ] Fold 


f -\ 

3 

. ♦ 

r 

i 

a' 

r -\ 

5 

l±J 

J 

JrJ 


t - \ 

K 

r — 

] 

i 

VS. 

t - 

/ 

1 

k' 

\JL 


+ 


4 

^ j 

4 1 

\. —j 


Pot: 4 SO 

Viliam bets 4 y^> 
A^uouWt belui^d 4 y5 
Pot Odds*: _: 1 

FlM\i pot would bfi:_ 

your tflU would be _ 

of the fivwl pot, 

Dut$>: _ 

e^wiLty £_ 

Dddsi _: 1 

Profit - 1 _ M^fec^p:f_ 

□Call =ev Fold 














































i£l 



;ATv ASifefAAi A?* I A&j:A^i| A4&i A3*j A2s 



£7s Kfc K5s K4s K3s K2s 

J t JL_J L Jl Jl J 

■ . JQIi|jQTi| Q=s \QU [Q7i Q6^yQ5s||Q4ajjQ3^lQ2sj 



KJ& QJo 




iJTi! JPi l! Jfis r* J&5 J5 j iJs JSi Jl% 


_ / 


JL 


k 


jATo KTo OToJ| jT'i 
|A9o K&c- Q9oj| j9o jjT9r 


|T7s T6i lis T4? T3i T^s 

j II , . JL 





9Ss 9 ; 3 9fe 95s 


A8ff 


KSc QS?||j^p ISf 93c 


j t 


y 


/i 


3fo 


S5s 


Ps 


■A?o R7o Q?oi J o 


T-q 97o S~tf 


' 



&i| 5s 



A5* 


A4o K4* 


I *| If !% 

roD 



5 c 65c 


55 


H 

92s 

83 s 

L _ J 

82a 

In ZJ 

to 

72s 

L n J 

63 s 

\62s 

FJ 

* 

i 43s 

IL 

42s 

33 

32 s 

32c 

fej 


ccmfces in pr-:':?p crtn^ 


_ 


_ 




1 1 . 6 % 























































































































































































































Top ptf 


ir 


Coiubos x - 


set 


cc*ubp^ ■ x - 


TWc Pair 


CtfHA.b££ x 


cverpetLr 


C^^vubos X 


call 


— EV 


J 


VJ 


A 

* h 

K 


4 j 




Profit 



Priflt- - 


Pmfut = 


Profit — 


Foie 1 ! Totfli,: 





































^ s 


r -i 

/■ \ 


6 

9 

5 

3 


L±J 

, ♦ , 

, ». 



j 

f \ 

J 

VS. 

Y 

’7' 

±j 

LLI 


LtJ 

LL 


pot 4 &o 

Villain btfs 4 4^ 

An^pui^t behlud 4 '-L 3.0 

Pot Oddz. _■ if 

Fti^nLppt would he-_ 

your daIL would be % _ 

of thi fungal "pot. 

Outs:_ 

e^ity y p _ 

Odds,: ; i 


Prefit : f_ Mfll££up: + 

call =bv Fold 


(¥1 

(¥1 

¥1 

fsl 


•f* 

l * j 

, ♦ , 

k_L> 

^_Z_j 


7 ' 

8 

vs. 

' a ' 

7 

L 4» , 

*f* 



± 


Pot: 4 &0 

villain, bets 4 4 S 
Amtot behLud 4 1^20 
Pot Odds,: _: 1 

Flb-vClL fOt WOuLd hi;_ 

your tfliLL would he % _ 

of thi flirtjjLfsfit. 

Outs:_ 

equity ^ 

odds,: _■ i 

Prefit: 4 __ 

Call =ev Fold 














































































fel 

f9l 

f^ 

5 

[31 


Lb 



*- ■• j 


f~ -"A 

r-> 


' -^ 

f -A 

9 

9 

VS. 

A 

7 

y J 

, 4 , 


♦ 



Pot: 4 &D 

YiLUtlvt beti 4 45" 

Am.cw.Kut behtwd 4 l^LD 

Pot Odd s:_: 1 

FwHlpGt would bfi:_ 

Y our geLL would he %_ 
of tbs flmal put 

OutS:_ 

E^uLty *g 

Odds: _; i 

Profit : 4_ _ 

Call =ev fold 


r-> 

6 

r -^ 

9 

f^ 

5 

f-^ 

3 

■f* 

L J 

* , 

♦ 

A 

>> ■ ^ 

' E ' 

a 

VS. 

' A 1 

♦ 

lb 


.♦J 



\ 


/ 


Pot: 4 &O 

vULrIku heti 4 4 5 

A m. o u w-t b t h. i w rt -f 1-2 O 

Pot Qdd£: : 1 


Fii^Pl pot wdwLp! bz: _ 

YpuK £3 LI WOwlpf hi 
of the. fiviRl pot. 

DwtS:_ 

Equitlj % 

odds: : i 


Profit - £_MP^wp:+_ 

Cfl LI =£v Fold 





































































A-o K7o Q-q 

Afoip^tofiojjjfio : T6o 96q Sfopfid |b 


Q5o J5o T5o= 330 I 85-0 


A-3& 


KJd Q4c J4o 


T-3* 


34o 84o No I (No 54$ 




>1o: 1 6*0 5JC- 


jA3c X3o Q3ej|J3o 13 d 93»j| S5o| ' 

T2o 92 q j 82o j j ~ 2 q 62 g 

'?S :-:ral'C! if pr^Vp ^nrr 


A2o K2o - Q2o J2o 



^‘j 

K4i 

K3i 

X_L 

Q4 S 

03 i 01: 

L It J 

J4| 

e Jr 

J^t 

j:i 

74!: 

© 

T2s 

9-i 

93s 


84s 

L J 

M 


'4s : 

m 

72s 

i. 

64s | 

s _ / 

i63s| 

62s 

54s 

53s 

|52a 

44 

43s 

42s 

43 o 

K j 

\JJ j 

32:. 

4 2o 

}2o 

21 



_ 


31.6% 







































































































































































































































Dv't'f^aLv 


.Strm-0 hi 


set 


draw 



G-om.h&Z X 


CoMA-bps X 


Cembtfs X 


_Cembps X 

CflLL =ev 


A 

♦ 



Profit - 


TVfrflt 


Profit = 


_ — 

Fold TfltflL: 









































Equity on the Flop 

! he equities on the flop are calculated with the Rule of Two or Rule of Four 
depending on if a turn bet is expected. If you expect to face a bet on the turn, use 
the Rule of Two as we have been doing already for turn math. If you expect to get 
the next two cards for the calling the flop bet, use the Rule of Four. 

Ihe Rule of Four says to count your outs and multiply by four to get your 
percent chance of winning. I he re are refinements to this rule that we will cover 
later. 


Calculations on the flop are more complicated than on the turn because 
there are two chances to hit the needed outs. If the needed out comes on the 
turn, there is still a chance for the river to change things again. I here are cards 
that can come on the turn that will add more outs on the river, these are often 
called outs to outs” or back door equity. Mathematically they are just a few 
percent change in equity, but strategically they can mean a lot more. 

As an example of back door draws, imagine there are three different suits 
on the flop. Matching one of the suits on the turn and then again on the river 
makes a flush possible. This flush is called a back door flush. 

You can also have back door straight draws, if your hand combined w T ith 
the board makes three to a straight, the turn and river can combine to make a 
straight. So if you have pocket Sixes on an A57 board, you still can get a straight. 

We simplify back door draws by saying there is a bonus 4% for back door 
flushes and 2%-4% for back door straights. Three cards to a straight get the 4% 
bonus, for instance 456. Ihree cards that have one gap that must be filled gets a 
3% bonus, for instance 679. Three cards that have two specific gaps that must be 
filled get a 2% bonus, for instance STQ or AKJ. 


On most boards there is chance for the turn and river to bring three of a 
kind or other perfect run outs. These are very rare and do not change equities 
enough to be worth accounting for. We will only look for the major back door 
draws of flushes and straights. These bonus equity amounts are only for the hand 
that is behind and counting outs, not for die hand in the lead. 

If we ate drawing to a straight or a flush and suspect that the Villain could 
get a full house with a single card then we need to account for that. 'Ihis ’would 
happen w r hen a player has three of a kind or two pair. "Ihis player is said to have 
a redraw. 



A set ins seven redraw outs on the turn and then an additional ten on the 
turn to get a fill I house. We need to discount our draw's equity to account for the 
redraw. Reduce the draws equity by 30% of the total equity. To do this, calculate 
your draws equity versus a simple top pair or overpair and take the 30% off 
for being against a set. Note that you do not subtract 30%, you reduce by 30%, 
Similarly, the draw' loses 13% of the total equity 7 versus two pair. If you suspect 
the made hand has either two pair or a set, reduce by 20%, 

Some outs are only a marginal improvement, like making a single low 
pair or a single pair becoming two pair, Ihe Villain usually has similar redraws 
against these small improvements. Because of this, we give back 4% percent. 
Ibis is a small adjustment that does not apply to strong draws like straights and 
flushes, only to two pair and pair outs. 

If a set is against a straight or a flush, they have seven outs on the turn 
and then ten on the river since they might pair the turn card also. I his can be 
thought of as 17 outs and use the Rule of Two to arrive at 34% equity. 



^ Add-ons to the Rule of Four ^ 

Back door flush draws add 4% to their equity 

Back door straight draws add 2% to 4% to their equity 

Draws give back 30% of their equity to sets 

Draws give back 15% of their equity to two pair 

Draws give back 20% of their equity to sets and two pair range 

Small improvements should discount 4% at end 

Sets that need to boat have 7 outs on the flop then 10 on 
river. Call this 17 outs and use Rule of Two to say 34% to boat 
by the river. 

Pocket pairs that need to boat or pair the board are similar 
to the sets. 

H_P 






Lets give these a tty. 


f ^ 

10 

f -^ 

7 

f^ 

9 

JL 



A 

10 

VS. 

7 

8 

V_I_r 1 * 



JlI 

L 


# outs. 


% _ vs. % 


in the above, we have all the straight outs for eight outs. Trip outs are another 
wo outs, and two pair outs are three more outs. Thirteen outs times four is 52%. 
the two pair outs are not strong, so we should give back 4% making our equity 
18%. The actual equity is 46%. We can keep it simple by rounding this to 50% 
equity. Fifty percent equity is 1:1 odds. 


/ --s 


10 

L_i 

9 

JL 


A 

10 

VS. 

7 

+ 

8 

.+ 


# outs 

/? 


* 

50 

VS, 

*5$ 
























































K 

r- 

8 

f 

h_ 4 

— 

7 



K 

K 

VS, 

9 

10 







# 



Ihis is a best draw versus best hand situation, there is the added feature 
that the set has aback door flush against our draw. More importantly, the King 
of Clubs also acts as a blocker to the flush. We will compensate for the blocker 
and redraw. 

Our outs are eight flush cards plus six straight cards. We have the luxury 
of knowing our flush is blocked. I his is fourteen outs, the Rule of Four says to 
multiply by four. Our 14 outs is 56%. 

Against a set, we need to give back 30% of our total equity, thirty percent 
can be a challenge to calculate, so we can break it down into a simpler problem, 
fen percent of 56% is 5%. We need to give back this 5% three times. I his is a 
discount of 15%. I hat takes us from 56% to 40% equity. The actual equity is 41%. 

( -v-v-"i 

































r~ - 

K 

* 

L ^ J 

|l ■ 

8 

L. “ , , -i 

i*-^ 

7 

* 

<• - ■> 



(*■ 1 

K 

l" > 

E 

V*5. 

f ^ 

9 

10 

4* 

l_£_j 



A 

jt. 


0 0Lit£ /*#" 


f. W V5. f *0 

IS . / 

■ 






















Here is one more below. 


r — \ 

7 

L *7" , 

f \ 

K 

v 

L J 

r — 

5 

* 

L_-_J 



A 

K 

VS. 

17' 

8 1 

+ . 



♦ , 





f 0 . _ vs. % 


The pair of Kings is ahead, so we count outs for the 78s hand. Our outs are 
two Sevens and three Eights, 1 hat is five outs or 20%.'l he two pair outs are weak, 
so we need to give back a couple of percent, call it 16%. Flopzilla puts us at 18%. 
































A 

♦ 


-% /" 




6 

♦ 


A 

* 


K 

* 




7 

4- 


e 

* 


# OUtS 


vs. ?. 


r 1 -h. 

10 

— 

7 

'9' 

y. 

.♦J 

V 

r -^ 

A 

t 1 

10 

vs. 


.♦J 



/■-’Vi^ 

T 

a 


8 


# OWt£ 


«. 


vs. % 


6 

A 


■S -y r' 


_r-' ' h . 


4 

4- 


J 

* 


J 


vs. 


7 

* 


7 

¥ 


# 0Ut£ 




VS. 7o 


A 

•f. 


“t, -^ f 


a 


„_ 


j 

+ 


7 

JU 


K 

¥ 


3 


7 

A 


" % ' I /- \J r 


.J*,, 


10 

♦ 


A 

A 


K 


vs. 


Q 


9 

* 


A 

4* 


K 

4* 


vs. 


7 

♦ 


8 

♦ 


7 

4* 


8 

♦ 


vs. 


8 

9 

v, 

JL 


f outs 


# euts 


# outs 


vs. %. 


vs. 


vs. % 














































































































































































s 

I 

f -** 

9 


EE 

VS. 

8 



# £>kt£ 


% __ V -S- % 


i*-1 

J 

*-\ 

7 

*-H 

7 


J 

A 

H 

Q 

♦ 

l._ rJ 

VS. 

/-*1 

A 

/ -> 

K 

A 

w_ : _ j 


\f OWtS 


% 




J 

A 


7 





7 

♦ 




a 

♦ 


vs. 


# £>Wt£ 


% 


A 

. *. 

K 



% 





























































































































































































































































r*-“i 

K 

JL 

r - •>. 

8 

A 

b... ■ _d 

r-*i 

7 

K _;_ J 



(¥1 

j 1 * - —*i 

K 

VS. 

[91 

r i 

10 

A 

t_:_ i 

u_:_j 


* 

L_J 

•f* 

i_ j 


# OKtS 


_ V*S. % 


f -h 

6 

y. 

r -^ 

A 

±- 

I 1 - 

K 

A 



'el 

’? 1 

VS. 

■ i 

a 

?** > 

j 

L_._J 

A 

^___ $ 

# OU.t£ 

b_j 

* 

l_:_j 


% _ VS. % 


f - •> 

6 

y 

r =—i 

A 1 
% _:_/ 

f -*1 

K 

+ 

l x j 



^—*t. 

6 

F 1 "" ”■ 

7 

VS. 

a' 

fl 

i 

L ^ ^ 

L ___ J 





# DMltS 


% _VS. % 


























































































Hand Versus Hand Type 

In these exercises, we know our hand and guess the Villains hand type. 
Sometimes all the hands of a given guess will have the same equity, sometimes 
th ey will 110 L Choose whatever specific hand for the Villain you want. Do not 
worry if it is a different choice than the answer kev makes. As before, write the 

j j 

hand in the two empty boxes on the line marked “outs*' 

Let s do an example; 


f -s 

Q 

f -^ 

f -\ 

4 

L + A 

s - 

<c 

o 

vj 


/ - \ 

9 

r -^ 

9 

iJv.de.- 

J* 

“j 

L 4 

fiJvLi 'n Hr-flw 


# outs_ 





Our set is the current nuts, but we want to know r how it does against a 
combination draw: 4h5h. 













Counting outs, it is nine flush outs plus six straight outs for 15 outs. Rule of 
Four says to multiply by four to get 60%. Ibis draw is against a set, so we need 
to discount this 60% by 30%. Ten percent of 60 is 6. Triple that to get the full 
discount of 18%. That puts us at 42% for the draw. Flopzilla confirms this for 
5h4h_ The other hand of this description, 7h8h, has 40% equity. The 5h4h has a 
little more equity because it can make a straight flush that will not b e beaten by 
a redraw. 



f -^ 

9 

t i 

Q 


y 

VS. 4- 

■!* 

l_ ■■ 


ft Will w 


# out& 7Shh /5 


g 5S vs. ***£» 


Calculating our hand versus a variety of hands on the same board will give 
us an idea how our hand holds up against a variety of possible holdings by the 


Villain. 







\ 


Q 

A 


<3 

* 

A -J 

U 

i *J 

v) 




Cntv 1 * tjwAir 

VS. + 

F-U*£h yy 


# Obits 


%■ 


VS. f. 


[ 9 ] 

f9l 

4* 

L * J 



v.s, 


CTpfiH. 

evader 


# out s 


*. 


VS. %. 




VS. FliJt'i ■! draw 


# owts 


*■ 


vs. ?£, 




VS. OvlerpaLr 


r 1 -S 

9 

r-' 

9 

i. * j 



,,_ Pfl&teet y.fl i-r 
bfrlcuv TP 




VS. S£t 


# owts 


# 


$ OKjtS 


vs. g, 


vs. 


vs. £ 


M M M 


* # * 




























































































































































































































































































































































































































■9 




1 


















































































































































































































































































* * 


* * * 


'IP ■•■####### 






























































































































Hand Versus Hand Facing a Flop 

Shove 

ki this section, we are making a call or fold decision when facing a shove 
on the flop. Draws have a lot mote value on the flop because the) will get both 
cards for the same price. 


/-\ 

4 

/-s 

K 

fel 



l±J 

/-\ 

6 

f -\ 

6 

VS, 






f -V 

A 

9 

L L 



Vtfc 4 30 

villa ttv 3 h &v &£: .f 50 
Pot oddii___ : 1 


Ftafilpot would be:_ 

Your &hLL would be % _ 

of the fu/usL -pot. 

OwtS:_ 

Equity 

odds: _^; i 

Profit : i_ 

Call =ev Fold 





































The set is ahead and the draw can only w r in with a flush. Notice this is an 

Jr 

overbet, one of the few times so far that we will be getting less than 2:1 on our 
call. 

Find the pot odds first. When we start hunting for “$50” we find only our 
Villains bet. There is S30 in the pot. What percentage is S30 of S50? Double each 
and we have 60/100, That is 60% or 0,6 times the bet. This means we hunted up 
1,6:1 on our call. 

The final pot will be SI 30, What percent is S50 of the final pot? The fraction 
50/130 is ugly to work with. Lets change the final pot to be SI 25 instead of SI 30, 



We can divide everything by S25. That makes S50 divided by S2r> into 2 and $125 
divided bv 25 into 5. This 2/5 is 40%. 

j 

Because we are going to discount our equity for being against a set, we 
get to count all nine flush outs. Nine outs using the Rule of four gives us 36%. 
Because we are against a set, we need to give back 30% of the full amount. This 
is just the way the math works out. 

Calculating 30% of 36% might be too difficult. Lets discount 33% instead. 
One third of 36% is a J 2% discount leaving 24% total equity. The exact equity is 
25%. 


this puts our odds at 75%-25% or 3:J on the call. Ihese odds are much 
worse than the payoff of 1.6:J, so it is a clear fold, in the same way, we look at 
the fact that w r e put 40% of the money into the final pot and we only collect 25% 
of it back. We must fold. 

Even though we already know we will fold, w r hat is the profit or loss on 
calling? Since we are donating 40% to the pot and collecting back 25%, that 
means we are losing 40%-25% or 15% of the final pot. 

Id do the final calculation of profit by calling, S120 is a nicer number than 
S125. Id get 15% of SJ20 we will use two steps: Calculate 10% then 5%. Our 
10% of SI20 is SI 2. lo get the 5% we take half of this SJ2. We add Si2 and S6 
to get SIS. We are losing about S20 on average when we make this call against 
the set. 





r A 
6 

L*J 

Pot: 4 30 

villa 1*4 £. km/gs; 4 5"0 

Pot Odds;_: 1 

Fulfil pot would b£:_ 

Y&uk ceLI would be %_ 

of the ftMil pot. 

Outs:_ 

^wky^_ _ 
Odds: _; i 

Profit :i__ 

CflLL =ev Fold 



X r 



Pot: 4 55 

Villain. .Skovgs^ 4 40 

Pot Odd$: : 1 


FlirvflLpot would be: _ 

your geLL would be % 
of the ftvutl pot. 

Outs: _ 
equity ^ 
Odds: : i 


Profit :£_ 

Call =ev Fold 





















































t * 

2 

. * , 

4 

' 9 ' 


f \ 

J 

r- \ 

j 

► 

vs. 

'-^ 

a 

+ 

-^ 

a 

V, 


Pot: + ±2.0 


vtLLa in. s k-sves: 4 i 3 0 
Pdt ©rids:_: 1 

FmaLpot would be:_ 

your kfliL would be % _ 

of the pot. 

Dwts:__ 

f 0 

Odds: ; 1 


Profit : £_ 

call =^v Fold 


/■ ,B 'l 

4 

[6 

[3l 



.♦J 

> + J 





f - \ 


{ - \ 


6 

A 

VS, 

5 

5 

LLI 




A 


Pot: 4 &Q 

VtLLa m. Sk©V£s: 4 ^0 

PCt Oddis.: : 1 


Ftirt-flL pot wowLci be;_ 

Yd«k ectlL would be %_ 

of the f£n.«L pet. 

OwtST_ 

f a _ 

oeidsr _; i 

Profit :±_ 

call Fold 


I 11 l- r ■•■'L • nrjiTi 1 ■'-L i. 







































\ 


6 

5 

6 



* J 

L ♦ , 

JL 

>._;_J 



5' 

f 1 

5 

vs. 


f -1 

7 

5L 

4 1 


jr. 



Ppt: 4 15" £3 


vLUfl t-a £ >10 V£s: 4 ISO 
Pet Dl^dS: : I 


HvutL pot would bsi_ 

Y our would bt % _ 

of the flvual pot. 

OwtS,_ 

^_ 

Odds; _: ± 

Profit : +_ 

call =ev Fold 


V ^ 



Petr 4 25 


vU La i\& s Si oves i 4 20 

Pet Odofs:_: i 

pot woiiLd be:_ 

Y^ur kHll would bt % _ 

ofkht fmfll pot. 

Outs:_ 

Equity £ 

Odds: _: ± 

Profit : i _ 

Call = ev Fold 



































f ' 

10 

111 6 

VS. 

A 

K 


jL 



JJ 


Pat; 4 75 

Vi lla in, o\/t&: 4 00 

Pat Odds: _: 1 

Fmal pot WQlA.ld b£;_ 

Y our cnll wouLd he % _ 

of the flkuU pot. 

Ontsr_ 

% 

Ddd£: _: 1 

Profit : * __ 

call =ev Fold 


\ r 



’ 0 ’ 

r *\ 

Q 

J 

.* J 

♦ 

k--J 

2/ 

li 


id 

lio 

VS. 

f - 

a 

■j' 


'JL 


Ijl 

JL 


Pat: 4 ±20 


vli La U 4 - s *1 0 ves : 4 S' 0 

Pat Odds: : 1 


FmaL pot waw-Ld bt: _ 

your cpril would b£ % _ 

of the fl^uU pot. 

outsr_ 

Equity £ 

Odds: _■ i 

Profit : *__ 

Call =w Fold 

















































vs. 



Pot: 


4 ±05 


vt-L La inn ,3 kcves: 4 35 

Pot Odds; _: i 

Fb^flLppt wpulri be:_ 

Your &£tU would be % _ 

of tke fwftL pot. 


Orfdsr 


Ou ts:_ 

Equity % 

: 1 


call 


"Profit : i. 

=ev 


Fold 


■V ^ 


K 


2 


7 





* 

V_^ 


vs. 

f*-> 

A 

f -1 

Q 


. ♦ , 



Pflt: 4 £0 

vLLla trt. 3 koves: 4 S 0 
Pot Od^£: : 1 


FtiAtfl pot would be:_ 

Y our &hLL would be % _ 

of the fUwl pot. 

Outs: __ 

0^u£ty ^ 

Qdd&: _■ i 

Profit ;+__ 

Call =ev Fold 






















































Pot: -f &Q 

VtLLfl ik. s. hoves: 4 &0 

Pot Odds.;_: 1 

FLkaL would be:_ 

your Mil would bd % _ 

of the fiv^ul pot. 

Outs:_ 

e^ixuty j a _ 

Oo trfs:; _; i 

"Profit : i _ 

call =ev Fold 


y t 

7 

F 1 * 

K 

t ) 

4 



i * . 


JJ 



r"-\ 

A 

f - 

A 

VS. 

f-s 

fl 

y-% 

J 

JL 



# 



Pot: 4 55 

vlLLu Ik *s kcves: 4 40 

Ptft Odds:_: 1 

Fb%£iL ^pt would be:_ 

your Mil would bd % _ 

of the fiKiiL pot. 

Dw.ts.i_ 

f g _ 

Odds: : i 


Profit : 1_ 

Call - =ev Fold 





































\ r 





4 25- 


VtLLaLw, .Shoves: 4 20 

Put Odd s:_: i 

Fli/L-fl L pot would be:_ 

your tflLL would be % 
of the final p cut¬ 
outs:_ 

equity $_ 

Oriels: : t 


call 


Profit ; i. 

=ev 


FoLd 


r -i 

6 

r -i 

10 
♦. 

r -i 

7 

, vj 



r * 

r 


f - 1 

f -^ 

Fa 

9 

JiJ 

V<S. 

6 

^L. 

7 

A 


PUt: 4 30 

vlLLaln shoves: 4 40 

Put Odds:_: ± 


Final pot would be:_ 

Your eftLL would be % _ 

of the final pet. 

Outs:_ 

e^u-Lty ^_ 

Oriels: _ : i 

Profit : +_ 

Call “=^v Fold 








































3 


f *»i 

5 

10 



♦ 



JL 



f - 

5 


A 

VS. 

r-1 

J 

f -*i 

J 

JPJ 



1 ♦ 

t_/ 



Pot 4 55 

VtLLam- .shoves: 4 45 

Pot Odds:_: 1 


Flw.PI l pot wonid be- _ 

yoitr c.nLL would be % 

of the ftw-ctL pot, 

Outs:_ 

^liLtlj ^ 

Odds: : i 


Profit : 1_ 

call =ev f old 




A 

8 

. +. 

2 

„ *T* , 



r -i 


p*- 


K 

±. 

o 

vs. 

8 

p- 

*■< 

POt: 

4 4C 

vlLLarn. shoves: 4 40 


Pot Odds:_: 1 

Flw.uL pot would be- _ 

Your miLL would be % 
of tbeft^ciLpcJt. 

Outs:_ 
Sanity ^ 
Odds; ; j, 


Profit : 1 _ 

call Fold 















































Decision Versus a Hand Type 
Shove on the Flop 

The following problems are the exact ones we did before. Ibe only difference 
is that now r we are all -in on the flop instead of on the turn. Having two cards to 
come instead of one improves the draws, basically doubling their equity. This 
means many of hands that should have be folded on the turn should be called 

i 

on the flop. 


Opta 

tv^dtr 

Call 

Fold 


.1 i-i-t ■fvpfv. ppt: 


Pvt: #320 

V^LflU". Shoves,: # Zl[00 
Pot Odds.: __ i 

Filrt-ftL pel wewLtf tit: _ 

yewr cJilL would bt % _ 

•E>f th; xst. 

5 _ 

Delfts: _ : ± 


We need the pot odds. YVe hunt around for as many 11 £200” as we can find. 
There is $200 from the Villains bet. There is S20Q in the pot w r ith S120 extra. 
What fraction of £200 is SI 20? Cut them in half and it is just like S60 and S100. 
That is 0.60 more that we were looking for. Add that up and we are getting 2.6: J 
on our call. 









The final pat will be S200 phis S200 is (400. Add the original pot of S320 to 
make S720. Lets call that $700. What percent is S200 of $700? I his 2/7 is an ugly 
fraction to work with. If we don't know what 2/7 is, we can use the bracketing 
method by increasing and decreasing the denominator by one. the new r fraction 
2/6 is 1/3 is 33%. The other new fraction 2/B is 1/4 is 25%. We know 2/7 must be 
between 25% and 33%. This is just an approximation, but the average of those is 
29%, w r e can just call it 30%. The real number is 29%. 

Our eight outs times four is 32%. This is basically 66%-33% which is 2:1 
odds against. 

Return from the pot is calculated by 33% of S700. For every three SI 00 s, we 
get SI(X). The first $600 brings us to $200. The last SI00 gives us another S33. 



*320 

VcLlflurtr 

Pot odd$\ j£-»t ! 1 

wtwUX. m 

Your cftlL. would Ite % M 
of tilt i i^al pet. 

putt:; S* 
Eqidty ^ 33 

RefcKfi^ -from ppt- ^ -1 


Op^in, 

tv^dir 

x CM 
Fold 


We should make this call, but it is very marginal. We are putting in S200 
with the expectation that overall w r e will pull out S233. Ibis call will make little 
money with huge swings, 'lhat is poker. 







mdkf pot - Q.y-5 

VliLfliirt, ShcMfi: 4 1 OQ 

FLusk draw frt Ortas; - =i 

Ft^-aC pbt wwaUjI be: 

O^Q \ J Ypitr eflll wpuLol be % 

k Ppt- 4120 

£l^l£)t vULaiirt. sln(Mt£: 4 ^O 

PotC-date;__ :i 

Fi-M-nC- pbt would be; 

0 (7 II yr^-r caLl w^juLlH be % 

oftheflAfiLp&L 

FOtpt OKttiS 

Ifefftu riio, pet: 31 

Fold qwtes 4 

ktttu rw- frfi#*. petr Pp!^&: ;l 



, 41 DO 

Pocket fsfltr v[iLfliWi Shp'y'ti: 4 30 

bdt^W TF 5, PetC-dcfS; __: 1 

pbt WdwiLcI be.; 

O 1 { 1 ! J Y fiitf efiL£ wpuLri be TS 

of ttie fLiwL pot- 

Prti 412.0 

Husk draw VLilairt. shau*L: 4 30 

Pst PddS]_: 1 

FliAfli *at would be; 

0.(7 M Ysur ifliL wpicLd be % 

^ Ulr of thcfEiwl.prt. 

Ft>Ld PLiiS: Q 

^kh^ftwupfltr ^d£: :i 

FO"lp( Plit&r ^ 

Return frptK pu-t; ^ds; 11 

42.00 

Hush draw vtttaw. SHcvss; 4 60 

Pet : 1 

FlvuSi upt wouLd b£: 

f' fl M Your tfl U ^'Pklei be % 

L ^ IUU (fthtff^aLppt. 

Bfc Ppt: 4 

Pocket pair 3.5 

hf.lqw TP Pet Ddste: : i 

FLiA-flL upt wpwid be.: 

^ Ll YD ^«". ,S — 
hi 1 

FOLW Oyks.i J 

Ri£tw rvL ifr&ito. pet: :1 

FDIW Puts: Q 

E^Lty g. 

ISjrtUrVt pet: Qdd £r ; 1 














































mr a&W y 


Pot- 41 25 

ViiLflin, shoves: 4 *)£> 

Ppt C'drfS: _ i 1 

Fifc^L wptt-Ld hi: _ 

ypKr tflU WpkU?( b' % 
of t^i fi^L pot. 

Diets:! S 
E^uLty £_ 

+ V*+m. pptr_ ■Orf^S-" _: L 


DpSi/t 

+ 

Flush drftw 

CflU. 

Fold 


Fpt: 4200 

Flush si raw v£iU,i ^ She ' /Ss: 4^0 

Pot Od£(£:; __ [ 1 

Fi-w-Et pot wowl-d be: 

y pic t' eflli wpuLrf bg ^_ 

of tfrie ftwrL pot. 

Fold DL4t£: ^ 

E^Lty £_ 

F^itKrki. fvO*n. potr_ _ii 



Ppt: 4 

ytiLci^ shcve&= 4 

Pot Dcltfs:_: i 

FlivSil Tipt wpie-Lol hi:_ 

YCKF tflU VJPHle! br! % 
of th? ft,k^aL ppt. 

Diets: ^ 

?_ 

Seetw rM. Fj-4+m. pot;_ Pddi; _; i 


Flush dr&w 

C-flll 

Fold 


Ppt- 4 50 

ViiLflirt, ShpVts: -$-Q 

Fdt Oditl:__ : 1 

Fi-yi^C pot ^vOKld be:,_ 

ypitredLL w^uLd be % _ 

of tloe ft^L pot. 

Dl4ts;i+ 
^ulty $_ 

ftietMrM. frfiin.plrt;_Pdd&r _ ; i 


■^1 

J* 


V&w 

+ 

FLwsh draw 


C-flll 

Fold 



































Pot; 4lSO 

t sl^iot VtlLOirt.Shm/te:^ 4 O 

Pot OrfiEs,: _ :1 

Flw 4 ^ t>bt WBwid be; 

p.H Li Y^wr weald H % 

0 f ttae fLMLppt. 

apt^ Pet: . * 3 ™ 

r Vu.1 Sin- Shove*: ^125 

£lrt,der Pot odds;-:i 

FLs*fl<, Tidt would be: 

PQ II ypwi' efllt would be % 

of tine flwfll pet, 

Fold Out*: 4 

^i«ky£ _ 

tej£tu rifl- firfi-iv- f} 0 t: Oddi: :1 

Fold out*: 2 

^«£ty ^ 

Rjftunrt- t^OVu. pot: Oddi: : 1 

opm mder Ppt - 4 4 oo 

4 VLiUS ■SkiP'/fS: $2 5 " O' 

Flush draw Po+ 0flWss -— [ 1 

Ft*uat fdt would be: 
rvo M ypLir tfl LI would be % 

j *fttitflimLprt. 

^ , jJ _. . pot: *400 

JPDfiteet f>ai,r vllLsiK ,shooes:^ iO£> 

feLtfW TP Pet oddi- __ : ± 

Flfifli.. set would be: 

P.n II Your tflLL 'wf^i-d be % 

flftheftwfllpet. 

Fold CM)tS:lS 

sanity ‘S 

l^umfirwupct: Oddi: 1 ± 

Fold outs: ^ 

tetum ffwu pflt: Oddi: :i 

opeiA, ' " ■' : " r: ' 

r VLiUiiut shcvw: 4 2 0 £> 

ektder potDdds; :i 

FLwUIl "0171 would be: 

P,Q [ LL Y'oiptr eoLt w&uld be %■ 

of the flwaL pot. 

e^ut shot p et- 4320 

4- viiLdiio shove*: 4 ^ 

Hush draw prtDfi| ^- :i 

f LvuSL 1 -flt would be: 

f* fl | Your enU would be % 

^ MUU fffttieflwaLpet. 

fOld Outs: g 

fteturnfvww pot: Oddi: : l 

FDlW out*: 13 

E^lty £ 

te_etu.h^ ^Vo#u. pot: Oddi: :i 














































Pat*. 4 y-Q 

Hush draw vataUshate:# 40 

Pot Oddi: _ : 1 

HiA^L ’aot wouLd bg.: _ 

YDKr tflU WOKl-d bi % 
of t'rtt fLiAtfL poL 

Outs: ^ 

£_ 

Oddi: ; 1 


Fc±- 41 DO 

VLiUflin- ShiOV££: 4 <5 Q 

Pot Oddi: __„ l i 

Fiw-acpot would be; 

your c-a Ld would be $_ 

#f the ftr-oL pot. 

OU.t&: IQ. 

s^ttfty £_ 

leetK rm, |V*rtt, prt;_ C>ri^S; _: 1 


Slut FE> 

[ i call 

Fold 


call 

□ Fold 

Return fv^nu. pot; 


Dvtr cards. 

cM 

Fold 

Return friwvippetr 

<^ut shot 

CM 

Fold 


Pot-. 4 JQ 

VilLpitf, ^.IrtpvSS.: 4 40 

Pot odds.: _ : 1 

Fli^3L li, 7 t would bf: _ 

Your tali wo Kid bi ^ 
of ttit fLw*H pot. 

Duts: & 
Equity £_ 

Oddi: ; 1 


Pot: 4 4 ^ 

viiiaiirt, sv.fMti-. 4 20 

Pot Oddi: _: i 

F^l pot would be;_ 

YPureflLL wouLri b? ^_ 

of the fiWL pot. 

Dut.S: 4 


RetkKvt frotu pot; 


Oddi: j i 

































Hand Versus Range After a Flop 

Shove 


We are now going to combine flop all-in equities with combo counting. We 
already did this on the turn and the math is the same. 

Jr 


In this example, skipping the derivation of the pro lit and combo counts: 



f -1 

7 

f -^ 

A 

f -" 

CL 



0 

■ 

0 

u 

V5. 

P } 

K 

V 

jj 



Top psdr 

^5 

C^kVL-boS 

X 

50 

Profit = 

t5QQ 







set 

7 

nnux 

X 

0 

Profit = _ 

0 


L^L-I V V\« v 





two Pair 

f 

Cfliwbos 

X 

15 

Profit — 

U5 







MrftW 


C/jrtibos 

X 

tiO 

Profit = 

iOOO 






noo 


XCflLL 

ev 

Fold Total: 



































We multiply out the number of combos by the expected profit to show how 
much that line is worth. I he dominated flushes are rare but really do bring in a 
lot of money for us. 

At the tables, if we think we are likely to call, we should look at the strongest 
part of the range. If we can justify' a call versus the strongest part of the range, 
then the rest of the range will be even more profitable, there is no more need to 
do calculations. 



Sets are the strongest part of this range. We see that at worst we break 
even versus the strongest part of the range. At the tables we would instantly call 
without doing any more math. 

in much the same w'ay, if we suspect that we are going to fold) we look to the 
weakest part of the range, if we must fold to the weakest part of the range, then 
no need to do the rest of the math. 

I his weighted average of all the parts of the range is difficult to do. You might 
w r ant to use you spare chips to keep track of the running sum. For instance, in 
this case we said that top pair has 45 combos and a S50 profit for about S2500. 
We could put S25 off to the side to remember the S25O0. We would probably call 
the set and two pair as break even. We would know the dominated draw r is rare 
but worth essentially the w r hole poL Add another S10 to remember the SI000. 
ff we had negative numbers, those would be in a different pile. Which ever pile, 
negative or positive, is bigger would dictate the call of fold decision. 



A 

K 

VS. 

f 

C 

a 

JL 

JL 


4 

k- 

► 



Pat: 4 3-00 

Villa Lrt. QVt &: 4 BO 

Pet Ddd$: _: i 

Ft l pot would b£;_ 

Your onli would be % _ 

of the. flftfll pot. 

Oh±£:__ 

Odds: : ± 


Profit : i _ 

GfllL =bv Fold 


r- 1 

7 

♦ J 

P> << 

A 

. ♦, 

T 

♦ 

L 1 J 



r-\ 

? - 1 


F*- \ 

TT 

rt 

7 

7 

VS. 

K 

a 

JL 






Pet: 4 


vt Li a LuSli o vts,: 4 SO 

Pot Ddd$: __: 1 

Flia^L pot would be:_ 

your crII would be % _ 

of the fLufll pot. 

Outs;_ 

^«sty % . 

Odds: ■ 1 


Profit ; i_ 

CfllL = ev Fold 









































, \l, .Ijicu 


7 

k ♦ J 

A 

. ♦, 

^ 

a 

* 

L 1 J 


/■ \ 
M 

r-\ 


f -' 

r -^ 

rs 

A 

a 

VS. 

f - 

♦ ^ 

Ql 


Pot: 4 ±00 

vlLLrlw, s h eves: 4 
Pet odds,: _ 1 1 

Flirty i pot would be:_ 

your tali wow Id be ^_ 

of the fli/Lfllpot 

OwtS:_ 

equity ^_ 

Odds; _; 1 

Profit : +_ 

Call =ev Folct 


r~ -^ 

7 
♦ . 

A 

T 

, 4 , 



{ - \ 

8 

/-1 

9 

VS. 

t -“1 

K 

f -^ 

a 

♦ 


Pot: 4 100 


vlLUj s hives: 4 g 0 

Ppt odds:_: ± 

Fin-wl pot would be:_ 

your *nLL would be % _ 

of the final pot. 

Owt£;_ 

B^ulty ^_ 

Odds: _: 1 

Profit : t _ 

call =ev Fold 





















































IA o X ~c 

A 6 c. K 6 oj|Q 6 oj| J 6 o 76 c 
ASoj|K5o| Q:c. J:o 

|A4c |K4 cJ|Q4qJ|^4o- T4cj P4o| E4oj 74oj|64oj| 54c 



Tjo 


33o 


32o 


53o 






E2c ""2c 62c: 152 


75s |[ 74s 

735 

L J 

72 s 


64s 

63s 

62s 

55 

5^5 

53s 

52s 

54c 

1 ^4 1 


42 s 

i ■* 


43c 

b- ,-a 

\ 1 
-JJ 

32s 
___ . 


" 1 

42c 

h?o 



iutobcs m picrlcp rang* 


0* 


.'-fl 


2L6*i 













































































































































































































































































































f > 

7 

, * , 

A 

. 

a 

l r ^ 



9 

* 

* -1 

9 

■ 

vs. 

t -i 

K 

f -“S 

a 



Tap pair 

set 


X 

Profit = 

oomtas 

X 

Profit — 

Two "Pair 

c^mko*. 

X 

Profit — 

bpkll.Lt'-fltgrf 

drftw 


X 

Profit = 


call 

£V 

FOLd Total 




























V ' 

IT 

r ^ 

T 

Q 



A 

, ♦ , 

J 

,*J 




^N 

K 

^ S 

j 

VS. 

a 

✓-> 

10 




L£J 

*f* 


Ppt: + ±OD 


VtLLfl iw* have£: 4 S' 0 

Pot DflWs:_: i 

fmflL pet would be:_ 

your call wouiL^ be %_ 

of the fU^al pot. 

Outs:_ 

£_ 

OctHsr _i i 

Profit : 1__ 

CflLL =ev Fold 


\ r 


T 

±j 

K 

l*J 

Pflt: 4 1&Q 

ve-LLa iv%, *s haves: 4 s 0 
Pot O^ris: : l 



FibuflL p£>t would be: _ 

your call would be % 
of the fu^al pot. 

Okta:_ 
Equity f ? 

Ortd.5r : i 


call 


Profit : i_ 

=ev Fold 


















































-"l 

^ - \ 

T 

r — 

Q 



< 

K _ 

►J 

J 

, * J 




/ - \ 

A 

JJ 

f * 

K 

JJ 

vs. 

? - 

a 

* 

f -\ 

10 

•3* 


Pot: $ ±00 


VtLLsiIn J>hOV£S.: 4 Sc 
Pot Odds:_: 1 

Flnfll pat Would be:_ 

Your c-hLL would be %_ 

of tbe final pot. 

Outs:_ 

equity y __ 

Odds: _: i 

Profit : 1_ 

call =ev Fold 


r——"i 

K 

fJI 

[9] 



♦ 

"s_ 4 


4 



A 

f "S 

Q 

VS. 

/-^ 

a 

r •■* 

10 

k_ t _d 

4 

i_ t _d 


A 

4 » 


POt: -f ±00 

VlLla In Sh oves: $ So 

Pot Odds:_: 1 


Final pot would be: _ 

your toll would be % 
aft be final pot. 

OutS;_ 

equity y 

Odds: : i 


Profit : £_ 

call =ev Fold 















































QJs IQTi Q9i QSi Q s Q6s Q5i Q4s QJs Q 



T£.| 

9S 0 

u 

B) 

|&fe 

15s 

L 

54s | 

83s 

K -J 

82s 

k_ j 

A~e X'c Q~c Xoi 

T _ a 

&■ j 

&7o 

S~e' 

1 i 

u 

lai 

175s , 

i_ 

74s 

_ 

ll* 

L . 

72s 

A6o||K6q- iQ6ff Jlfo 

T6oJ 

96c 

8fiq||-Ga 

LJ 

65s 

64s 

63s 

j • 

62s 

[AfoJ |K5o j [Q5 d j [J5n 

T5a 


85a 

1 ' 1 

"5a 

65 a 

| 55 | 

54s 

53s 

52s 

A4oj|K4o[ C-r jJ4o 

T4a 

H 

hi 

"4a ■ 

64a 

54a 

1 44 

i 

43s 

■-j 

42s 

V 

|AJo j |iL3 o j |Q 5 o i | J2o 

T3oj 

,95 a 

Sja 

T 3a j 

62a 

53a 

43a | 

"k% 

JJ 

32s 


[A2oj |K2oJ |Q2 o | j J2o J 1 1 T2o 1152o 11 B2oI 



"2a 62o tic? 


42a 


32a 


>> 


[9$ tEMubos m pttilap tm§t 


TO 










































































































































































































































































































two Pair 



set 

Combos x 


Pair 

+ 

Flits h dr&w 

COKINGS X 

Nut FT 

CflUlboS X 

call =sv 



a 

1 

10 

A 

^_ 4 


Profit 
"Profit = 
"Profit — 
Profit = 


Fold TotfilL; 

























V / 



r \ 

n 

*- 1 

n 

t i. 

td, 

*T* 


Pet: 


4 iod 


VL L la Lio. S In O'VtS: 4 SO 

Pet Odds; : 1 


FurtdLpot w>nLd be:_ 

Yettr toil Would be ^_ 

of the fmel pot, 

Outs,: _ 

%, _ 

Odd£: _: i 

Profit : £ _ 

call =ev FoLd 


t -* 

/ - 


f -* 

f - 

J 

10 

vs. 

a 

a 

* 

>±. 


♦ , 

± J 


Pet: 4 1QO 

villa tkt- & h ovts : 4 SO 
Pet Odds; _: i 

Fl v\&L pot would be:_ 

Yetir Ctflt would be ^_ 

of the fivuxl pet. 

Oats: 

Equity <f F _ 

Dcids: _: i 

Profit : £ _ 

call =w Fold 






































































% f 




f 









Pot: 4 100 

vUifltw. •Shoots,: 4 
Pot Od d$: : 1 


Fl^L y>$t wuLrt b.£: _ 
Your tail wowLd b£ % 

of the fmfll pet. 

Outs;_ 

e^nlty *£ 

Odds; : 1 


Profit : *_ 

call =^v Fold 

































KSilKB* K"s 


Kit 


KH 


KH K:s K2i 





|Q^jjQaj Q?s Qfoj Q7s Q5s Q4 5 Q3s Q2s 



A4o| 

|K4o|[Q-: 

tel 

T4o 

Dio 

teJ 

1 

*■ " 1 

54o| 

44 | 

-H 

fel 

fej 

J3o 

T 3 o 

^j 

93 0 

S3o 

"j0 

S® 

iH 

4jo| 




£2o S2a 


^2a 


fi2o 


52o 42o 320 


I 



ciMnbos mpfeibp Jisfe 





























































































































































































































































































































f -* 

9 

J. A 

■■ ™ 

3 

*■ " j 

r % 

8 

+ 

^_I_* 



* 

A 

VS. 

f ' 

a 

r -> 

a 

A, 



St t combos. x - pr *i lt 


opejA, 

e^Uer 


combos X 


Profit 


TWO Pfli-r _ CokvlIjos X 


Profit 


C-flLL — EV FOLd TotflL: 


























Hand Versus Hand on the Flop 
with Implied Odds 

in these exercises, we are no longer all-in on the flop. Ibis means that we 
might not be getting the director immediate odds to make the call, but that if 
stacks are deep enongh we can make up for that loss the times that we hit our 
card. 


Earlier we did similar calculations on the turn. I he flop is more complicated. 
We could call the flop and then get a free card on the turn, doubling our chances 
to hit. We could call the flop and then be faced with another bet on the turn. 
'Ihe flop call and turn call are independent decisions. These decisions must be 
thought about separately. It is frequently right to call the flop and fold the turn. 

Because we do not know r ifw r e will get two cards for free when we call the 
flop bet, we should pessimistically assume there will be another bet on the turn 
when you miss, but a check when you hit this means we will be using the Rule 
of Two instead of the Rule of Four, even though you are on the flop. 

Just like before, the decision to call or fold is not as w r ell covered 
mathematically because it is unclear if we will get paid off when we hit. Ihe most 
we can do for sure is say that there is not enough in implied odds to draw against 
a given hand. We are also ignoring the other options of raising or bluffing since 
this is a math book, not a strategy book. 


r 


/■ 


\ 



7 ' 

f ^ 

A 

vs. 

' - ^ 

10 

fj’ 

*J 

F L _* 


If 

L T -J 



Pc±: 4 45" 

vtLLnbi, bets 4 40 

Amount beliL^d 4 120 

Pot Odds:_: 1 


FlvmI pet wpkLd be;_ 

Y^nr £ftLL would be %_ 

erf the ftiA.nL pet. 

Outs:_ 

E^utty *£_ 

Ode Is: _ 1 1 

Profit: j_Mflle£L*p4_ 

Call =ev Fold 



























For the pot adds, 540 is close enough ta S45 to consider this a pat sized bet 
for 2:1 adds and thus our call is 33% of the final pot of Si 25. 

We have lots of outs, not because we have an incredible draw, but because 
we are only trying to beat Ace high. We have eight outs for our straight. One of 
them is blocked so we are back down to seven outs. Our pair outs are good for 
six more outs. We have 13 outs total. This is a monster draw, and in a game we 
would might consider raising instead of calling. For the purposes of this book 
though we will look at the math of calling. Later in the book we will look at fold 
equity that might apply here if we were to shove. 

Ibirteen outs doubled by the Rule of Two is 26% plus 3% bonus percent for 
every four outs, lhat puts us at 29%, lets call that 30%. We use the Rule of Two 
because we are pessimistically assuming there will be another bet on the turn. 



If we were to get a free card on the turn when we miss, our equity is much 
higher. Those same 13 outs by are multiplied by four to get 32% equity. Because 
some of the outs are relatively easily beaten, we need to give back about 4% but 
our back door flush is worth about 4% bonus. We call it 30% equity. Flopzilla 
puts us at 48% equity. 

At the tables, we would take the possibility of a free card into our call. The 
higher the likelihood of getting a check on the turn, the more value this draw 
has. 


I he Rule of Four gave us 50% equity. Earlier using the Rule of Two, we came 
up with 30% equity because we assumed we only get one card for this flop call. 
We should use the more conservative 30% equity on the turn and just consider 
ourselves lucky if we get both the turn and river cards after calling this flop bet. 
With this 30% equity, we want to convert to odds. I be ratio 70%-30% is 2.33; I 
and that is the odds we were looking for. 

With our call being 33% of the final pot, and our equity on just the turn 
being 30% this is a neutral call on the flop in terms of immediate odds. Since 
there is really no profit or loss immediately on the call, there is no makeup either. 
With the possibility of implied odds, this neutral call is one we should make. If 
we get a second free card on the turn, things aie even better. 

In reality, even though we have this equity, it might be hard to collect on it. 
For instance, even though the jack of Diamonds is an out for us, we might fold 
when that card comes if an aggressive player bets into us. 

These calculations of equity do not account for us having the poker sense 
to know when w r e hit our out. Doing the calculations w r ith full knowledge of 
the board w r ill help build our mathematical intuition so w r e can guess more 
intelligently in the face of uncertainty. 







Pot'. 4 45" 

villain bets 4 4 O 

Awlqvl ut bekLwci 4 £20 

Pot £ : ± 

FivMAl JiCfc would b£; 

Y&U.K iTl-rLL would tie % 
of ike ■flt'UiL pot. 

Outs: 

^uity }Q 
Odds: £33 : 1 

FTfrflt ; f Q Mflleeup: 4 0 

C-tlU =ev Fold 


Lets try another one. In this example, we would abandon the math very 
quickly once we knew what we need to know We will go through the mental 
math on this one as we would at the table. We will just do the math enough to 
make our decision. 





























Pot: 4 4 5 

villain bets. 4 +5" 

Awlquv\t t behLwrt 4 3>0 

Pot Odds,: 2 _t : ± 

Flvlftl p.pt WpkLd be:_ 

your &&ll would be %_ _ 

of the filial pot. 

Ou t£l_ 

Equity ^_ 

Odds,: _: 1 

Pir&fit: J_Mfll?£Hp:4_ 

Call =ev Fold 


We have nine outs to the flush plus a gut shot for another three. That is 
twelve outs, the Rule of Four puts us at 48% equity against a top pair kind of 
hand if we see the next two cards for this one price. 


























If we see only one card, the Rule of Two would put our twelve outs at 24% 
plus a 3% bonus for about 27%. it is a small loss compared to putting 33% into 
the final flop pot. ‘this is fine because there is still money behind to justify the 

cal L 

Looking ahead, with only 330 behind, we will always call the turn bet if the 
Villain shoves the turn. We decide this with a useful shortcut. Notice that we 
would be asked to call a smaller amount ($30 on turn instead of 345) for a lai^er 
pot (3165 on the turn instead of $90). The flop call depended on a small amount 
of implied odds to work, but now with the reward bigger and the risk smaller, 
this is a clear call. Both of these calculations use the Rule of Two. 



Another way to think about this is that Villain will always call our shove on 
the flop or the turn. Ihis means that both sides will end up shipping this 545 bet 
and the remaining 530 in at some point. We see from the Rule of Four that each 
side has about 30% equity in the pot on the flop. 

There was 545 in the pot before the flop. "Ibis money is considered “dead 
money” and it is what we are fighting for. Because both sides have a huge amount 
of equity in the pot, both sides will be compelled to fight for it. This happens in 
Holdem that the dead money in the pot is large enough relative to the stacks that 
both players are compelled to go broke trying to recover their equity from the 
poL Neither side is making a mistake, it is just the nature of the game. 

Here is a final example that is common when we flop top pair, but expect 
that we are out kicked. 



10 

IT 

l -■ 

,r “'i 

2 

±J 


/ - \ 

A 

JLI 

f > 

10 

% 

'l- ± -- 

VS. 

' - > 

9 

JL 

? - % 

10 

Ijl 


Pot 4 2s 

bets -$■ SO 
Avuouvd: belied ■$ *)Q 

POt Odd^: _; 1 

Fli^aL pet would bd:_ 

y our CrflLL weuLd be % _ 

of the ftwflL pet. 

Qw±&\ _ 

tquitij *£_ 

Odds: ■ 1 


Prefit: i _Mateiutp;^:_ 

CflU =ev F old 


























Lets go through the mental math. If we really think we are behind on the 
flop, we have three outs versus a better top pain We can also assume that the 
Villain will ship the remaining amount on the turn. Three outs according to the 
Rule of Two gives us about 7% on the next card. 

We want to skip ahead to the part where we calculate our required make 
up.. Villain is 93% to 7%. Lets call that 90%-10%. We are going to have to pay for 
nine losses for the one hit on the turn. If we multiply the Villains bet by nine, we 
get a huge number and the stacks are not that deep. 

If we think we are very likely dominated, we just can not: come back from 
that often enough to play on. Good hand reading can let us know when we are 
in those spots. 

As we are doing these problems, we are getting to the point that we should 
be able to take shortcuts like this to plan our hand. Ihe exercises are only a tool 
to become intimately familiar with the underlying math. Once we have built that 
intuition, we can start to improvise or just recall similar situations where you 
have a I read v done the work. 

i 



f - \ 

7 

t \ 

A 

VS. 

f*-1 

10 

r- 11 

j 


JJ 



lv, 


Pet- 4 4-5“ 

VlLLbI**, bits 4 40 

Pot: Odds: _: 1 

FLu-ftL pot wptUd be:_ 

YDkK c-ftLL woulri be %_ 

of the pot, 

ou.ts\ _ 

Equity ^ _ 

odds: _ _; i 

Profit: ♦_M^up:!_ 

Cali Fold 


8 

9 

f -s 

81 



, . 

V •;*•__-J 

Ijl 



r* - s 

7 

f 1 1 

A 

VS. 

f -\ 

10 

f- *\ 

J 

L*J 

* 

l -J 


L*J 



Pet i -t 4 .tr 

vLUflti^ bits 4 4 Q 

Ayfrauvt-t bekwaol 4 3-3.0 

Pot Odds: _: 1 

Pll^siL pot wouLd bi;_ 

Your cfiLl would b i % _ 

pf tbe fLiAj?il pot. 

C^A.ts: _ 

®vfcy x° _ 

Ode Is: __ : i 

Profit I 1 _Mflte(U'p:£_ 

call =ev fold 













































/- s 

10 

.♦J 

3 

. vj 

6 



f -"’H 

A 

r \ 

10 

VS. 

f-1 

7 

f-% 

8 

L±J 

A 

L 1 j 


4, 



Pot: 4 45" 

vLLLfll^ bets 4 4-5 

Amount behi-^et 4 30 

Pot Odds: : 1 


Fli^aL pot would b £'. _ 

Your oftLL Would be % 
of the flr^Lpot. 

Outs:_ 
e^uL-ty ^ 

Oc(d£L ; 1 


Profit: 1_ 

CCflLt [>ev 


Mfl J? (Up 4_ 

[ ] fold 


a' 

♦ 

8 

*f* 

L - 1 J 

4 

A 

t_:_ J 


f - \ 

A 

f 1 ^ 

a 

vs. 

/-V 

9 

f -^ 

10 


l 


L±. 

¥ 

± _> 


Pot: 4 30 

VlUhLi^ bets 4 25 

bikini 4 3-QO 

Pot Odds,: : 1 


T-lvual pot would b^i _ 

Your cfl Li would bt % 
cf* the fli^l pot. 

Outs.: 

■— 

Equity ^ 
Odds* : 1 



Profit: ^_Mflkeu.p :4 _ 

Get LI Fold 

























































vs. 


/ \ 

T7 

T 

11 

*1* 

L "b J 

0 

Jt 

_j 


Pot. 4 +5 

VlUfttA bets 4 35 

AALflkkrfc bcsi^rf 4 lie 

Pot Oddter : 1 


Fulfill pot would be: _ 

Ywr cflll wowid be % 
of the fmoL pot 

Dw,ts:_ 
equity *g 

C-dds: : i 


Profit i 4_ 

CflLL =ev 


Mfltawprf 


Fold 





PCt: 4 35 

vUlfttA beta 4 2ft 
AiHw.pwn,t tehti^d 4 i5e 

Pot od dfi; : 1 


pin-aL pot wo^Lol b£: _ 

Yomr will would be % 
of the ft Aft L pot. 

£>u±£:_ 
Equity g 

oddsi. ; ;J_ 


ProfE-t : 1_ Mfltefup:#_ 

Call ^ev Fold 































































Pot: 4 §■£> 

vlUrul bets 4 

Aywouut behti/td 4 130 

Pot odds:_: 1 

pUvtfl -pot would be:_ 

Y&ur fifltL would be %_ 

of the fmaLpot. 

Outs:_ 

Equity *g_ 

Odds: _; 1 

Profit : ^_ M«teup.:+_ 

CflLL =ev po Ld 


r-^ 

K 

r 

-=U 

^ _ 

JL 

JL 


vs. 


-> 

9 

r - 

o> 
^_ 

*T* 

k___J 



Pot: 4 35" 

vLiLfli-iA. bets 4 

A«^-oui^t behead 4 HO 

Pot Odds; : 1 


FlkoL pot wouLd be: 

your efllt would be % 
of the flM-flt pot. 

outs: _ 
Equity ^ 

odds: : 1 


Profit : 4_ Mfftoup:±_ 

call =^v Fold 

























































J 

A 



VS. 



Pot: 4 35 

bets 4 

AmacuvU: beht-nd 4 £30 

Pot Qddz: _■ ± 


FlkvflL y>ct would be: 1 _ 

Y &uf etfLL would be % _ 

oftki.fi fmflL pet, 

Ont£l_ 

Uejwuty ^_ 

Odds,: _; i 

Profit ’ ^_ 

call =ev fold 


\ f 


\ 

ft 

r-^ 

ft 

r 1 

R 

o 

+ . 

o 

o 

a' 

r-^ 

fl 

VS, 





to 

t \ 

10 

A 

j 

jL> 


p^t 4 so 

VLlLoit^ bets 4 20 

A^vtou-i^t beiiLpLd 4 3.00 

Pet Odds; ; 1. 


FiiA,f?L wouLd bfi::_ 

your mLL would be %__ 

oftki.fi ffruaL pet. 

Dut£;_ 

p 

Odds,: _ ; i 

Profit ; 1 _ Mflfe£kp:£_ 

call =ev Fold 
























































10 

. ♦. 

/ - > 

A 

3 




r-\ 

7 

/-1 

8 

VS. 

/■ - % 

K 

r 1 



4 

— * 


4 

l_ i _ j 

L 


Pot; 4 4 O 

vULffift bets 4 

AlW.DLt vit behuaol 4 t- SO 

Pot Odrfs;_: 1 


PLrUlL pot wouLa be: _ 

Ycur GflU would be % 
of the pot. 

OUtM 


odds: : i 




Profit : 4_Mflte£wpr+_ 

call Fold 


K 

Tq 

[K 


k ¥j 

JL 




vs. 



Pot: 4 3^ 

vULcili^ bets 4 25 

Am-ou^ut befr^d 4 iiD 

Pot odds; ; 1 


fUa&I pot would be: _ 

your tflil would be % 
of the -flvml pot. 

Okt&:_ 
Equity ^ 

Qdrfs: :, i 


Profit : 4_ Mfitte£wp4_ 

call =ev Fold 




























































8 

4 


5 

4 



VS, 



Pot: 4 55 

VlLUii+v bets 4 40 

beWi^-rf 4 
Pot Odo Is: ^_: 1 


Ft-kUiL pet wouLd be;_ 

Your e-fllL would be % _ 

of the -fmed pet, 

Dkts;_ 

equity ^_ 

odds: _i 

Profit : ^_ Mflfeeup:4_ 

Call =ev Fold 



R 

A 

•f* J 

A 



K 

__ 

VS. 



Pot: 4 30 

vtUflu* bet£ 4 20 

Anu5i«M: beh w*d # l±0 
Pet odds: _: 1 

Fmeil pot would be:_ 

Your tall would be %_ 

of the ftiA^l pot. 

Outs:_ 

Equity ^_ 

odd^ _: ± 


Profit: 4__ 

Call =^v Fold 
















































f - 

8 

s * J 

* -V 

404 

^--J 

p 1 

6 

, ♦, 



f -\ 

8 

f 1 ' 

7 

VS* 

f ^ 

9 

f*-1 

10 

JJ 

^♦J 





Pot: 4 10 

vlLUsLa* beta 4 10 

behind 4 iio 

Pot Odds:_: I 

FLiAflL -pot WOuLrf fa& _ 

Your c-rtLL woultf be % _ 

of the flAtfi, pot- 

Quts:_ 

Equity ^_ 

Oddi: _; 1 

Profit: 1__ Makeup#_ 

Call =ev F old 


\ r 


4 

-\ 

O 

[to 

JLl 

HE* 

Liu 


a' 

t - s 

Q 

VS. 

f -\ 

A 

f-*1 

2 

♦ 

♦ 

k__J 


JL 

l T_, 

A 


Pot: 4 40 

vLUglia bets 4 0.0 

Af'H-OUyLt bdhL^d 4 000 


Pot odds: _: 1 


Fwa £\l pot would be: _ 

Your c&Li w&uld be % 
of the fliAfll pot. 

Ou ts:_ 

Equity ^ 
Ddd& : 1 


Profit : 4_ Mfthzfup:4 _ 

□Call =^v Fold 










































8’ 
+ J 

t 1 

2 

f“ -^ 

8 



A 

f -> 

8 

VS. 

9 

f - 1 

9 

±J 

jlJ 



*]* 


Pot: 4 25" 

VlLLcui^ bets 4 
Awjmtvt bfih^rt 4 

Pot _: 1 

Fulfil pot would be:__ 

Your c &.LL would be % _ 

of 1 the fl^L pert. 

outs:_ 

Equity £_ 

Oddi: _; 1 

Profit: 4_M a'fituyA _ 

Call =^v Void 


\ f 


a' 

p *> 

A 

^-\ 

8] 

V 

* 

*f* 

i_> 


k' 

r-1 

K 

VS. 

e \ 

7 

6 ' 


* 

t_ _j 


A 

L±J 


Pot: 4 

vUlaiw, bets 4 S5 7 

bfillL-kLi^ 4 !^ 3 

Pot Oddi: _: 1 

fU^eI pot would be;_ 

your e-sli wouLd be % __ 

erf the filial p£>t. 

puts:_ 

s^uitij ^_ 

Odds.: _: ± 

Profit: 4_Mflteeap:- - 

nCftU =^v Void 


















































r- 

s 

t \ 

R 

•F 

V 

JL 




vs + 



Pot; 

4 

J L 

25" 

vtiltfitf, bets 

4 

±5 


4 

lOO 

Pot odds: 

: i 




FlwM.1 pet WDklo! be;_ 

Y^itr eetLL would be %__ 

of the fl*uiL pot. 

Ou ts;_ 

E^Lcuty ^_ 

oddzi _ : i 

Profit ; 4_ Mflj?CUp:4_ 

call =ev Fold 


\ z' 







*J 


♦ J 

b_ t _/ 


9' 

f - 1 

J 

VS, 

r \ 

8 

f 81 

♦ , 

¥ J 


*T* 

>, - - ^ 

Jh* 


Pot; 4 35 

Vt-LL^t-kV bets 4 

Azw.i)wM,t belied 4 ISO 

Ppt Odd£: _: 1 

Flr^fll pot would bfi;_ 

your e-all would be % _ 

erf the pot, 

Outs:_ 

e^wttLj ^_ 

Odds.: ; ± 


Profit: *_Mafee^ip:^_ 

□ call =ev Fold 

































































f ' 

K 

/-^ 

Q 

VS. 

J 

f - 1 

10 


•Tv 


♦ . 

. ♦ , 


Pet: 4 

VLUfltn. bets 4 SO 
behind 4 S5'C 
Pet oddi: _: 1 

fU-uU pot WDitld bfi:_ 

your e^U wew-Ld b z ^_ 

erf the fLirt-flt pfft 

Outs.: _ 

equity ^_ 

Odds.: _: ± 

Pro-fit: ^_Mflfeeup:^_ 

call =bv Fold 


X r 



Pot: 


4 55 


vlUfl lia. bets 4 ’^5 

AW-QU bfilUkL^ 4 zoo 

T> 0 t Od{(As.: _: i 

Fua£|(. pot WO\Ad bi:_ 

your tall would be %_ _ 

of tine ftn^L pot. 

Outs: 


equity %_ 
Odds; : i 


Profit: 4 

Call 


Mdteeup: 


-4 


= EV 


FdW 





































































f - 

A 

f- 

10 

V5. 

f- 

9 

io 

A 

* 


1 ♦ , 



Pet: 4 J-0 

villain. bets 4 55 

IdfihLvtpi 4 ilC 

Pot Odds.: _ : ± 

Fl-^iI pat would be: _ 

Youv coil Would be 
oft *it ftn-PiL pat. 

Qw.t$.: _ 

equity % _ 

Odds: : ± 


Profit : J;_Mflfee^p:^_ 

call =^v rfold 






/ v. 



/ 






r-\ 

9 

i"-> 

10 

M 

JL 


Pot: 4 $5 

vLLLacvL bets 4 && 

Ai'KflvLVl.t bfiMkV^ 4 9 O 


Fat odds: _: 1 


f£miL pot would be:_ 

your tfl LL wai^Ld be Jo_ 
of the fli^t pat. 

Outs: _ 

E^wiirty 

Odds: _ : ± 

T'ro-fi t: ^_ 

Doall fold 




















































Hand Versus Range on Flop with 

Implied Odds 

'lhis section is very Similar in format to the turn math with implied odds. 
We are estimating the value of each match-up and counting the combos to find 
out how likely that match-up is. At the tables we would almost never do this 
math out entirely. We do the math now so that our intuition is trained when we 

Jr 

get to the tables. 

When we are estimating the value of a match-up, like Af vs 78, we guess 
at the profitability of that match-up. lhis will be very rough. With deep stacks, 
we will need to make another decision on the turn. For this flop call, we are just 
deciding, “Will this put us in a profitable spot on the turn?” 

Let’s go through a problem. 



Pot: 4 %D 

villttUfl* bets 4 

■AkVi-PWl'Vt bfilflLI/Crf 4 200 

Pot OtfidS:_„: 1 

FUtMi pet would be:_ 

your tall wcwLd be % _ 

of the fmftL pe?t. 

QutS^_ 

Equity ^_ 

DddZ: _; 1 

Prcrflt : t _ Mflfefi u.yA 

call n=ev Fold 


How much is this match-up going to be worth to us? the turn pot will be 
S2Q0 and 20% of the time it will be ours on the turn. We are paying S65 to lock 






















up $40, sa we Lose S25 every time we call. Were we to do this five times, we lose 
SI25. However, one of those five times we have a shot at getting the nest of his 
stack. If we get the entire stack of $200, then that one time pay's for the losses and 
makes us S75. ff we always get the entire stack, over the course of five trials we 
will make SI 5 on average. If we figure sometimes the Villain properly folds when 
w r e hit, it will be a bit less than that. 

An alternate way to do the math here is to look for money to make up for 
the times we call and lose. We need to call S65 and pay' for four losses waiting 
for our win. lhat is S260 to pay for. Villain’s bet plus the rest of his stack pays for 
that. 'Ihe one time we hit, there is S80 in the pot and we will get that 20% of the 
time, so we can make S16 on average if we always get his stack. It is a different 
way of doing the math but same essential result. 


Ihe nest of the worksheet is done as before. It has been started here. 



TC'p 'pfTL-lf 

open- 

en-der 

Nwt fr» 

Sit 


f 

9 

J 

'6 


„ V, 


0 

■ 

■ 

VS 

L-J 

L-J 



^ Combos ^ 


Combos X 


Combes X 


_Combos X 

CflU = ev 




estLWA-CltEfl 

f^Stwm 


Esti-MAffted 

Return 


EstL-kViatCCl 

Ritum — 


Return 


FoLrf Total: 



























r ^ 

A 

fj] 

Y] 



L. J 





A 

f - \ 

3 

V3. 

r-^ 

8 

P 1 -^ 

g 

^±J 

dJ 





Pet: 4 &0 

vlllnip, bets 4 -4*5 

ApK-a wkvt behind 4 i2£* 
Pot Dddfii : 1 


FCri/Ul L laflt WOuid b£; _ 
Youtr eftLL Would be % 

of the -flAflL-prt- 


Ofld.^L 


Cuts: 


Equity ^ 
: 1 


Profit: £_ 

CflLl Fold 










Petr 4 && 

vl-LIpIia, bets 4 4/T 

Aw~Qu&Jt belied 4 lS'O 

Pc t odds*: _: i 


Fi-ia^L pot w&uld be;_ 

Y^uisr tdLl would bi % __ 

of the ftn-fll -pot. 

Ou ts:_ 

£_ 

Odds; _: ± 

Profit ’ 4_M£teeup:4_ 

□ Cflll =ev Fold 




















































r ^ 

A 

k vJ 

r ^ 

J 

, J 

* 1 

7 


^-> 

7 

vj 

f - \ 

7 

|r% 

L ^ " 

VS. 

F T 

8 

t 

-> 

9 

♦ 


Pot: 4 &Q 


villa wv bits 4 4*5" 

A^-om-vt bfiiiL^rf 4 i^C 1 
Pot odo Is:_: i 


FlkUTl pot would be: _ 

Yow.r octLL wQuid be % 
of tbe pot. 


o uts : 


equity £ 
Odds: : i 


K: 


t-j 

a 


Profit::_ 

Call =^v 


MflJflSEW.p:£. 




X r 







/-\ 

o 

r-i 

Q 

o 

♦ 

w-_* 



Pot: 4 ££> 

vlLUdiA- bets 4 45" 

beliLi^d 4 ~l-^0 

Pot Odds:_: i 


Fli^L pot would be:_ 

Youir taU would be 
of the fli^fli, pot, 

Outs:_ 

equity ^__ 

Odds: _: i 

Profit: i_M£ifee^p:4_ 

Call = ^v Fold 



































































K7s K& Kis| K4s iGi K2i 

:■ JL J L_ J . J [ _J I J 

,QJs I QTsj QH QSs||Q7 s . QSi Q5s Q4s|iQ3s Q2s ; 



Pi m 




J5s 


J4s J?.* 


r \ 


7& Tte X?5 


14s T3s T2s 

• l! , 


95s li 97 s Mi 95s 

£7.s | 8.6s 85s 


-■ 


94s 93s 92s 


£45 80 s 82s 




Ac K7c Q q T 0 ,"'e 9 0 So 






Ws 63s 62t 


‘So 65o 55 54a 53s 

__J 


!A4o K4o 





J4o T4o 


A3c K3 d Q3o|i JBo T3o 



- 


AIo |K2o Q-oilJ2o l|T2o V2v I S2o \72o $2* 52o 


42 0 






33 32s 


^•Ti 


4*0 


198 "rmhc? tn pisflop rmrs 


■i 


0 *. 


31«- 





























































































































































































































Tcp pair 

C-cmkoz x 


Two pair 

C-owAboz X 

Combos. X 

set 

C-pmbos. X 

Cf Ut shot 


call =ev 


00 

7-1 

9 

L*l 





Bj&titttfffcfrsl 

Return. 


BsttwLftte.il 

R£tn.r>v 


6stkiv-atecl 
__ Return 

Fold Total: 































9 
♦ . 

r i 

j 

6 

LL 



J 

f ^ 

A 

VS. 

f -\ 

7 

i*- s 

8 

A . 



LL 

* J 

L -_- j 


Pot: 4 

vlUfllko. bets 4 && 

4 200 

Pot Oddi: _i 1 


Fmfll pot Wowld b t: _ 

Y&u-r &#IL would be ^ 

j?f the flu^l pot, 

Ow±£:_ 

E^iut^j ^_ 

Odd$: _: i 

Profit : '_ Mfikeup:4_ 

□Call =ev Fold 


Q 

^^ 

T 

f \ 

R 



.♦J 

J 

o 

LLI 



io 

f -i 

a 

VS. 

f - \ 

7 

f -* 

8 


4 I 

k — ± __j 


LL 

LL 


Pot: 4 %Q 

vUIaua- bets 4 
Amount bfiiiL-i^d 4 200 

Pet odd£: _■ 1 

Flirtyl pot would be:_ 

Y^uiir £ fl LL wouLd bfi % 
of the fEn-fil 'pot, 

Oyt£: _ 

equity ^_ 

Ddd&: : ± 


Profit: ^_Mflteewp:4_ 

call =^v F old 



















































r - 1 

Q 

r- m 

T 

r- -^ 

8 



,*J 

J 

u 

i*j 



f ' 

A 

y . 

Y 

. v, 

vs. 

7 

8 ' 

♦ 


Pot: 4 $0 


vLUfllft bets 4 

bfilurt-d 4 ^£i9C 

Pat Odds.: _: 1 

Ftk^L pot would b t: _ 

Yt>u.r tflLi W0U.LM be % 

of the ■fLu^t pot, 

Otits:_ 

equity _ 

Odds: : i 


Profit: i _p:i_ 

□ Call =ev Fold 


F 1 

Q 

F “1 

T 

r- i 

ft 



4 

t—-—1 

u 

V, 

u 

M 



f ^ 

6 

6' 

VS. 

f -\ 

7 

F ^ 

8 


4 I 


La 

_A 


P>ot: 4 90 

Vi-Uflti/L, bets 4 £5" 

bgllLkV^I 4 

Pot Ddcte:_ r 1 

FtkUll pot Would bt: _ 

Yousr &&li would bt _ 

of the fii/ual pot, 

Outs: _ 

equity °s_ 

Ddd£; : i 


PrO^t : ^_MflfeCUp:4_ 

Call =^v .Fold 














































KJsjjKTs. K$s|jK7s Kfe K5sp4a Os Os 
QJsljQTy QPs i QgsJ[QTs; | QfiajjQ5x]|Q4aJ[Q3£ Q2s 



KJo Q 7 q 


AT* 


KTe QTo | m 
A£o l&n Q9aj| JSo 



J7» J6e J5s 


J4i 


J3s J2s 


T6i TH 74* 

. _ -> - _ -. _ 



$6* 0S||$4i 92s 


ASo jKSoj QSojjJSo lilSo 9 Sej| llfcj Sds j[ S 5 sj[« 4 s II 83 s:.; 823 


A“ o K7c Q'o 



A6o Kfo? 


Q6e 


JGo 


K5c Q5e T5f Me S5o 



T3& T2s 


’7 0 c-"* 


|75iJ[74s "3 s 72s 


7&? HftljSfo 


64 j 63 s p62i 


54* | 53s, 52s 


’4o (54 e? 54o 


44 43 s 42 s 


|A4o K4 o Q4oj|j4a||T4o Wo |B4o 
lA3o;K3o Q3ei|J3ojjT3o &3o j[S3o| _ 3o fi3«; 53 b 43o 35 32a 


AjQpj Q2 b j jJ2oj |T2 o,; 92gJ | B2gj 72* ; 62®: 


52o 


47 c 





IPS cctriboi in prfflijp ran. 
_ 




0% 




















































































































































































































TiJp pair 

Opfit'L 

t\^dtr 
N Ut FP 

S£t 


p 1 

Q 

T 

f > 

R 




u 

U 

\ju 



f' - 1 

f 11 

9 

vs. 

f -1 

7 

f " 

8 


■ 

k_J 

A 1 

s_ i 


LaJ 

♦ 



EsUm-Kted 

Combos x - Return = 


6stim&ktd 

C&m.b OS, X -- Return 


EstihUPtfip! 

Cpfttbos X -* 


_Cpt«ub^ X - T^tusrw — 

CftLL =sv Fold rotfli: 





























t -^ 

t \ 

A 


t -\ 

{ -1 

*iT 

A 

Q 

vs. 

A 

K 




A 

■jL. 


Pet: 4 $0 

vLUaua. bets 4 

Amet-ufet bfihbud 4155 

Pot Odds,: _: 1 

Flv^l pot ^VowLd be:_ 

Y&w.r t& Li won.Le1 bz _ 

cf the {l\ajaI pet. 

Outs: _ 

B^ultij ^ _ 

Odds: _: ± 

Profit: J_Mflfeeup:/--_ 

□Call =^v Fold 


\ s 




Pet: 4 $& 

Villain bets 4 

Atvneiit^i-t bebt-^pt 4 15" 5 

Pet odds :_: i 


FwvflL pot would be:_ 

Yeu-r tflLL wei dd be %_ 
of the fivuiLpet. 

Outs: _ 

S^UltLA ^_ 

Odds: _: i 

Profit: i_, M«ii«eu.p:4._ 

Call fold 































































r-^ 

R 

n 

r" 

r? 

f 

4 C 

* 1 ** 

l—;—j 

u 

•J* 

*_;_/ 


f 1 

r* 

f 1 

r- 


f* > 

I 

f- 1 

f T 

5 

5 

_±_ 

VS, 

A 

A 

K 

*T* 

s_ 


Pot: 4 90 


vlLIeLl'u bets 4 20 

behind 4 3-S'-S' 

Pot Odds:_: 1 

firuaL pot would h&: _ 

your enll »a^£>m.LipI ht % _ 

of the ftpyal pot. 

OutS:_ 

equity ^_ 

Odds: _: i 

Profit: *_Mflfeeup;4_ 

□Call = ev Fold 


f 1 " 

T 



1 

f -> 

J 

J 

VS. 

A 

K 







Pot; 4 

VcrLLflliA. bets 4 
A*vu?wnt behind 4 iS "S 

Pot Odds;_: i 

pot would be;_ 

your crII would be % _ 

erf the fiutil pot. 

Ou is:_ 

e^^Lty y_ r 

Odds: _: t 

Profit: i_Makeup;:!_ 

□CfllL =^v Fold 































































K7s K6i K5sl K4s K3i K2i 



J KJo QJe 
Alb KTp QTc 


QJi QT* Q9s|[Q8> Q^i CWtjlQSs Q^|lQ3i[[Q2i| 
, ^jJL -J __J _ 4 ,_ __A_l 

J7a 11 J6i j l5s J4i |] J3s If J2s 


T4& T3a T2s 


A 9 o 


PVaB 1 



ASo KSo Q£o JSo TSc 9Sc 
A~c K'i'c Q”w J~□ 77~ S”g 


A6e K6e Q6oj J6o T*o 5>6o, 8fe 

I A3 o K5o Q5c J5 q lT5c :95cj|j S5e 
L_L_J1 J l,_J L J L_Jl_ 

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73 e 93 c 


54* 53* 525 

■io IWtfli 54o | U J[43»j|4a*j 


■A_5 c 


ilo 


Sjo| 73o 63c 


53o 


43 a 33 32s 


.Uo K2o Q2# J2o T2 c 92a 82o ITlo 62c 

iyil Tr W 


Uj-D 

'MB 

1£S cantos- ir; preffop rariir? 


52c -2o 


32 c ™ 


■■■■■IV 


0*4 


lltti 


























































































































































































































































' 5 ' 

l*. 

F 1 

a 

. + , 

z 1 *. 

2 

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f -*i 

9 

m 

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f 1 "S 

9 

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VS. 

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A 

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EitLHinted 


TOf fair _combos * - KCtwm. - 


ot/£>rp3LK Co i/ubcs ^ _ T^etk^i/b 


E^tL.nw.sted 

Combos X - Return 


6sttiv.il teti 

_Combos X - Return — 

C-flU =5V Fold Total: 


Set 


Poe feet -pair 
below tp 






































Fold Equity 

Our cards have both showdown equity and fold equity. Showdown equity is 
the value we get when you go to showdown and have a superior five card hand. 
Fold equity is what makes bluffing and semi-bluffing work because sometimes 
we will bet and everyone folds. In semi-bluffing, when called we still have 
appreciable equity. 

As we have seen through this book, it is often difficult to make money by 
calling with draws. Playing more aggressively with draws is one way to make 
up for this and is the hallmark of great players. There are many strategic places 
where betting with a draw makes sense. Here we will see the math behind that. 

in a pure bluff, we expect that we wilJ always lose when called. If we have a 
chance to win when called because our draw might come in, then this is more of 
a semi-bluff. The showdown value of our hand is our second chance in a semi¬ 
bluff; the more equity you have when called the better. 

As an example: 


A 

Q 

7 


R 


A 

♦J 

vj 

f 

♦ 


4 

^___H* 

^- J 


K 

9 

; ♦ , 



Pot: SI20 

Two players, we are in position, S90 stacks 










We put our Villain firmly on an Ace but not two pair. Ibis means we have 
nine flush outs, two Nines, and three Kings unless Villain has Ace King. We will 
discount the King out by one. Ibis gives us thirteen discounted outs. Rule of 
Two says we have 26% + 3% bonus for 29% equity against a variety of Aces. 

This means that if we were to shove and get called, the pot would be S300. 
We are entitled to 30% of that pot or S90. Since we are shoving S90 and we 
expect to get back S9Q when called, shoving costs us nothing, it is like a coin flip 
except we win less frequently and triple up when we do win. 

The key part of the above statement is when called, ft is reasonable to believe 
that sometimes when we shove the Villain will fold. Every time Villain folds, 



we win the current pot. Every time he calls, we break even. I his is a bet we can 
never lose, on average. I his is a great bet and we should file in here if we truly 
believe Villain has a single pair of Aces and sometimes will fold. 

Ihey are not always such perfect situations. Lets change this board a little 
bit. 


A 

/ ^ 

10 

t ^ 

7 

f > 

5 


s 

♦ 

.r, 

. ♦ , 

♦ 

l j 

V_ 

_ J 



Pot: SI 20 

two players, we aie in position, S90 stacks 


We put Villain on the same exact hand range, except in this scenario we 
only have flush outs without the trips and two pair outs. Nine outs is 18% plus 
2% bonus is 20% against a reasonable range of Aces. Now we are entitled to only 
20% of the $300 final pot or $60. this means w r e are putting in S90 and collecting 
only S60 back when called. 

■i 

We need to know how often the bluff needs to work. Ihe bluff needs to 
make up our S30 loss when called, there is SJ20 in the pot. If he always folds, 
we make SI 20. 













Lets estimate some different fold percentages: 

1 . ) If he folds 50% of the time, then there are two things that can happen. 
Half of the time we make SI 20 on the bluff. iTie other half of the time we lose 
$30. This is a great situation for us since that nets S90 profit. I he average profit 
is S45 per time we run out this hand. 

Since we know we are taking the worst of it when called, we want to bracket 
die required folding percent by Villain. We just saw that 50% folds is real Iv good 
for us. Let’s try another easy to calculate number. 

2 . ) If Villain folds 33% of the time, we make $120. The 66% of the time that 
he calls, we lose S30. Since losing S30 is twice as common as winning SI20, we 
will double it to find the average. This means we lose S60 for every time we win 
SI 20. That is still S60 won over three trials. That means S20 average profit. We 
like this, but not as much as when he folds 100% or 50% of the time. 



3, } The next easiest number is 25% folds. Again we make SI 20 on that try, 
but the other 75% of the time we lose $30, Three losses of S30 is S9Q, so 25% 
folds is still good for us, but now we are only making S30 over four tries. Less 
than $7,50 profit per time we run it out. 

At the tables, we could stop here, $7,50 profit on a S90 bet hoping for 25% 
folds is probably about the limits of math and estimation, the art of poker is 
being right about the Villains holding an Ace and estimating the chance he will 
fold, Th is is simply the math to help with those reads, 

4, ) The final estimate is 20% folds. Again, we make S J 20 when Villain folds. 
Four times that often, we lose S30, Multiply that out and we see that we break 
even. 

Knowing where the break even point is allows us to decide if it is a good 
shove. We could have just said our win when he folds is Si20, and our average 
bluffing loss is S30, We see that one win pays for four losses, a ratio of 4:1, This 
equates to 8Q%:20% meaning we only need 20% folds to break even. 

Realistically at the tables, the Villain might hold lots of hands weaker than 
top pair that he would fold to this bet. The more of these weak holdings, the 
better this will work 

Let s do another one of these. We already know how to estimate our equity 
when called. Lets look at a situation where a Hero flops the Worlds Fair of draws: 
two overs, gut shot straight draw with a flush draw. 




On the flop, the Villain bets S60 into the S8Q. Hero considers shipping it in 
for SI80 on top. Based on the history with the player, we think Villain will call 
with top pair or better. We think he could show' up with |9+, all the overpairs, 
and set Nines or better. "I here is a good amount of junk that he will fold, like AK. 
























the first calculation should be equity against the nuts, pocket Jacks. We have 
nine flush outs, plus three other straight outs. We believe they are essentially 
always good. 'Ibis gives us a minimum of 12 outs for 48% equity, Ihe set has 
redraws to a boat, so we need to drop back 30% of our total equity. We need to 
know 30% of 50%. It is 15%. lb at means we have 35% equity against the nuts. 

Against top pair type hands, we have the fill I 50% equity from our straight, 
and flush draws and then about 10% equity from our over cards. Klopzilla puts 
us at 58% equity. We would have estimated it to about 60% (Against over pairs, 
we are more like 50% equity.) 

We could try and count the combos and take a weighted average, but we 
have bracketed our equity when called to somewhere between 35% and 60%. 
There are a lot more top pair and overpairs than sets and two pair. We could just 
call this about 50% equity as a SWAG (Scientific Wild Ass Guess). Flopzilla puts 
us at 50% equity Bracketing and SWAG works pretty w r ell. 

Lets rough out the math here so we feel more confident at the tables. Our 
final pot if called will be S260 + S260 + S80 or S600. When called, we will take 
half the pot back. That is S300, and we are putting in £260. It is already profitable 
even if Villain never folds. 

Villain will fold sometimes, so this is an instant ship, unless w r e think there 
is an even better move w r e can make. 



Ihe general procedure for these calculations is: 

* Figure the final pot when called. 

* Calculate your percent return when called. 

- ff the return is more than your stack, consider shipping, it is profitable. 

* If your equity when called is better than 50%, shipping is always 
profitable. 

* If the return is less than your stack, find the average loss. 

* Figure out how many times you can ship and lose compared to the 
profit when Villain folds. 1 his ratio gives the amount Villain must fold 
for the move to be profitable. 

- Use your poker sense to decide if you will get the required folds. Count 
combos if you can. 






4 


5 

* 



v 


3 

♦ 


\/~ 



Pot; ViLlnL^ bets Lv\,to -|.5'Lj 
-#150 stacks before you. corn 
vLLLau^ wlLL c-aLL with JJ ov better 


Equit's] wSoetA,.called: % 


L Css whew, cflLLeri: 


w’Li/v win et/v folded to; 
KiSqutLred fpLduvg % to breflfe £v£i"v: 






























J 

¥ 

■* 

Pet: Villa lia, bets $25 u/vte $30 

$±50 states 
villa Lia, will tall witi^i tc"p "paiK ov better 
two overs av^d a -flush draw ov better 

Equity wheKcalled: % _ 

l ess wbei/v called:_ 

W'ua, where folded te:_ 

R.eg wired J aiding ^ te break everc:_ 


1010 

v___A_ J 



























Doug Hull 


r 1 

j 

f ^ 

10 

f % 

3 

4 


* 

♦, 

Vj 





Pot: .#110 
-$5Q stacks 

vLlLau^ will Gall with top "pair o*' better 



Loss win tvi called: 
Wtfrv y</h&trc. folded to; 
R.eojw.u'Soi s oldiv'j? i % to breafe evew,: 





































Pot: $50 
$35 stacks 

vlLLauv wlLL call with ai/vLj'paCi' 
Bc]ui tw whew, tailed: ^_ 



draw 


Loss wiicw, tailed: 


wIvl whe^v -folded to: 
Kieani^ed folduT^ % to b^eate eveuv 
































villauA, will. caLL wLtii cua,ia beat ov better 
bg\u‘±m whew, called: °fo _ 


l os-s. whtw*- talLect' 


w f 'w* wh&v~ folded, to: 


Required fbLdl^g % tc breate tJtw. 






























/ ^ 

J 

10 

f > 

10 

f ■> 


♦ 1 

t ^ 

L + 

*_ > 


^ 

\_^ 


V' - 






pot: 4; 

.#1,50 stacks 

vlllalvt will call with tat; 'pan- at- better 
with aw, apew, e^dcd straight draw 
or AJi with back daar flush 
Equity whew, called: % _ 


i ass whii* called: 


Ww, whew folded to; 


Required fbldlwg % to break even,: 



























Doug Hull 




Pot; Villa li/i- bets $30 li/ito $50 

$■±2.0 shades befbre won call 
VillaL ia- wtlL call with AQl+ or qo + 


lyuLtij w^ieiA call eat: % 


Loss whin, tailed; 


Wu'twhetA folded to; 


■femnired foldiiA^ % to breale eveiA; 





































Pot: .#. 3 O LiA-to ^■■50 

$2_t>Q stacks 

viLLaivc will call with (H&.+ Akts 


Boulti] wh fit'V called: % 


L oss 'avi zia, ca LL. t g\ • 


win - whevcfoLrfed to: 
'R.tauiv'ed folding % to break everv: 





































Folding Nut Flush Draw on the 

Flop 


Effective stacks: $200. 


7 

+ 


vs. 


-• Si iil 

E3 L J K Ql f.jlMi K!.:;L1| f 

*»* u • Q- ! , -'- L 

| rr» ^jiij 'ii - , 'i Jfii Jiii .?■ 

[T9*i n« t ; 1 1 

'■■ • kJifkJ - r - -j 


tSiS' 


Cfcaa-ais ±1^ iitiatesa .±1 .ai 


«?£! i t'i Efe. K_’i J!-i KJi Ki 




JJ* Eli _04t Hi 13 
A ? C- - ,* ■.■ ” 


Vir H:s Me Jio Tfc &4o ife "nj 



-Oa. KJ* Li‘J: J:o T2* :-. 



U^JLJ 

ljuJLJ 

a 

dU 

Vi’ 

K ■ •/• 

i A5c 

K3u 

|QSS*|| 

r-.A 

K’o 

1 ■§■■19 


•J. K.: :■ 

q;-J 

Ai#|K In Q-ii 

-Hi 

AS*" 

K]u QIj 

. 


M&M tt» <*' 'i M*-- !-!:■ ilh (Jli; 


1/Hl Jii r. ,i*i P* - r ^L .Hi ,.t;» 


’ll. _ 

r i Hi i>> iJi 

II. I! 

- ■ 

ai.j, 3fo JS5 l E-i 




t?i 


U 


r.-i Tj 
9Ji «i| 
lit B3t 

tit 4?n 
iSSa. !Zl 
]ih Ci 

Eli 


_ 


Pi 


I li as 


Villain raises to SI2 in MPl. A player calls and we call on the button with 
weak suited Ace. 

We know very little about these ranges at this point, so lets go to the flop. 
















Pot: $39 

Three players, we are in position, Si90 stacks 


'Ihe original miser bets S40 into the pot and the middle player raises it up 
to $120. 'ihe flop raiser is not the type that would raise on a draw in this spot, 
so we put them solidly on two pair or better. Most likely we are against a set of 



























Nines or Fours with the occasional King Nine suited. Further, we believe that 
the flop raiser is never folding. If the flop bettor does not re-open the action, the 
remaining 570 will be bet on the turn. 

It is unclear to us what the pre-flop raiser has or if he will come along to the 
turn, but we think he certainly has a weaker range than the flop raiser. 

Lets start with pure aggression. Do we have the odds to just ship it right 
now? We might remember that a flush draw is 25% to win by the river versus a 
flopped set. if we assume pre-flop raiser has very little equity and is will ing to 
call, then he will contribute a lot of dead money to the pot. In this rosy situation, 
we w r ill put essentially 33% of the money In and only collect 25%. 1 he 540 in pre- 
flop dead money is not enough to justify getting S190 more in right now since 
our 25% equity in the dead money is only S10. Clearly if all the money goes in 
now against a set, we are losing lots of money. It gets even worse if the pre-flop 
raiser does not come along. 

Can we call the raise? In the best case scenario the flop bettor will call but 
not raise us. Ibat makes the pot 5120 x 3 for 5360 and the original S40 for S4G0 
total with 570 back. 

We make the nuts on the turn with only eight cards since the Nine of Clubs 
brings a boat or more to a flopped set. We will make this draw about 18% of 
the time. Lets call it 20%. Ihis means we are entitled to 580 of the pot, and we 
are putting 5120 in. Ihis is not good for us either. However, we have 570 in 
reserve. Let s take the best case scenario where we hit our flush and get called 
by both Villains. Ihe set still has ten clean outs to a boat or better, that is about 
20% equity to our 80%. the final pot would be 5600 again and we get 5480 on 
average when we hit on the turn. I hat means we only get that 5480 20% of the 
time. 'Ihat is 596 (think 10% of 5480 and then double it) in the absolutely best 
case scenario. And our best case scenario has us losing money on average. 



If making our draw on the turn does not make us money, then calling the 
inevitable turn shove is going to be ugly for us also, there are seven board 
pairing turns where we are drawing stone dead. Imagine we get to the turn three 
ways for S120. the pot will be S360 + S4G for $400. Ifw'e catch a brick that does 
not pair the board and both players go all in before us, then giving us the best 
possible odds on our draw there would be $70 + $70 + S400. We would be forced 
to call getting such a good value on our 20% draw. The final pot would be S600 
again so we would be entitled to SI 20 for our S70. 


Essentially, by calling the flop w r e are setting ourselves up to be pot stuck on 
the turn. The turn call on a non-pairing brick would be +EV, but the w r hole line 



would be bad for us since we are losing money even those times when w r e do hit 
as we saw' in the analysis where we hit on the turn. 

J 

All of these analysis w r ere with the very generous assumption that the third 
player is shoving money in stone dead. In more realistic scenarios we are doing 
much worse, fust fold the flop, even with this monster draw if you truly believe 
the Villain has two pair or better. 



Folding Middle Set on the Flop 

Effective stacks; £1600 at $2-5. 


/■-> 

a 

t — 

Q 

L*J 



vs. 






£,4 e Kj« 

P*| 

I®; <P i| 

Q«i Q:i 

Q*l| 

QiJ 

PI 



i Q 0 - ... ifr o 

. . icr ■ ■ ” Hu 75. 5:', 3 

A 1 K. ■> V ijJVjT’li P’t ;! f frtj 

LJ " 

AWbCJo rtvj J;aj£;r- y>r im .‘5l jito | 


?h\ JS, :'.Jjifr )Ji!ifi. JH. n* 

CEt KV JCi> KS. -tJc K.'i O. 




assist 



:!P 

y:-i q:l 


ji. 

; -^i 


TPa-p 7ll T s 7flt T H ’ 4« 7 rk T7a 


4<p|K In l^jj 1 1 n ,-lr U4#|j| bi 

•UilKJii Qipirild .13* !»«. 

_ 4 *y;<V> .'■ »'■ J •- -V 

- V : g»J|Er «.j 


• lr. >4 




\--n 

7«1- 

-1’ 

3*,. 

-1. 

(■;* 

JJjj EIj tfSi 

7!d 

t TU 

■ ! -i Ifil 

S3. 

t=h, 

Jli 



0 > 

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| "Is, 

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;’lj 

c±\ 

44 M 

C*= 

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kj 43. 

iy 

41. 



j’L. 

[rw 

Mf. 'i:e As; lia 

u 


131 

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Ki* 

Qi-. 

! In 

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Vi. 1..! "4r; 

5Juj 

u 

.■ill 

j Ci, 

J .■ KJo 

Q-=4 

m 

p*i 

y=i Ira ■'i^j t:u 


JT-: 

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Aia K.J o 

,QJ: 

Jif, 

rn# 

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£1 

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lJ 




Cfi 


14 V 


Nitty Villain limps in U'J'G, we raise with pocket Queens to S3Q and are 
called by the Button and the Nit. 

4 


We know very little about these ranges at this point, so lets go to the flop 
















The Nit checks to us. We have the third nuts. We are only behind top set 
and a flopped straight. We bet S8Q into the roughly $100 pot. I he Button makes 
it $160. He makes a minimum raise on this dangerous board. We feel he wants 
action. They jokingly say that if lack Ten is the nuts on a board, it is out there. 
We must strongly consider the idea that we are behind right now. 


























A set of Kings does not make sense with the pre-flop action, but it is possible. 
In Vegas lots of people play trappy with big pocket pairs like this. Jack Ten seems 
very reasonable given the play. When this hand actually was played out at the 
Venetian, 1 instantly started doing the math assuming I was on the draw with 
the third nuts. 

Lets do that math here. Assuming we are against the straight, we have seven 
outs on the turn. So we win 14% percent plus a bonus 2% or 16%. We will lose 
85% of the turn cards and surely face abet. We will miss 85% to 15% or a. ratio 
of 5.66 losses for every win on the turn, if the Nit folds, we will be asked to put 
in S80 to win our original flop bet of S80, his call of S80, his raise of SSO, and the 
580 that w r as in pre-flop, plus 520 more that was in pre-flop. We can count 4.25 
times our call even if the Nit foJds. 

Even though w r e are not getting the direct odds that w r e need to make this call 
immediately, there is enough in the stacks such that taking a slight loss for the 
opportunity at winning his stack is worth taking. If we happen to be against a 
set of Kings, w r e are dead to a single out, but a set of Nines has the same problem 
against us and of the two sets, the Nines seem more likely considering the lack 
of pre-flop aggression. 

None of this math we did really mattered because w r ith the pot now holding 
$340, and effective stacks at $1420, the Nit ships it in. So to recount the flop 
action: the Nit checks, we bet, Button min-raises and the Nit check-raises all-in 
for a 4x pot sized bet. 



We are dearly behind one of these two players, if not both. At this point we 
are easily drawing nearly dead to a set of Kings and a flopped straight. We only 
have only one out to the set of Kings. If by some miracle w r e are against two 
flopped straights, we have seven outs on the turn and additional three again on 
the river. Roughly speaking w r e can apply the 2% rule to make 17 outs 34% plus 
4% bonus for 3R%. (The actual number is 36%, but this is a great estimation 
that can be done at the table.) In this most optimistic scenario we are essentially 
breaking even and sometimes we are drawing near dead, 'lhis is an easy fold. 

At the actual table, the min-raiser on the button called with the expected ) I". 
Ihe nit tabled bottom set. This is actually a worse scenario for us had we called 

Jr 

because the lower set is acting as a blocker to us getting a boat, taking away three 
outs. Our equity would have dropped to 24% from 36%. 

1 w r as very happy with my' easy fold, but then the turn was a King giving the 
Nit a boat. Sometimes 1 wish I played worse — that would have been a £4S0G pot 
if 1 called and caught lucky. 



It is a great exercise to run analysis like this about your equities in different 
scenarios, it helps to build up your intuition. Looking at enough different 
scenarios will make it easier to remember or calculate the equities you need at 
the table. 



Flop Call on Paired Board 

Effective stacks: S300 at S I -2 with a UTG straddle to S4. 

Three limpers and the Button gets friskv r with 62s makes it S20. Solid FAG 
calls from the Big Blind as does the U FG straddle and a I impel. 

itH m~>| 3i.Taj3CTij ; ESl X't ££► K3a 3U. 

QJ* $:■ QJ» <12.1. 

jT.J *3. j JSi r. It-. Jlk J3l 7U 

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We know very little about these ranges at this point, so lets go to the flop. 



















Pot: S80 

Four players, Hero is on Button $280 effective. 



The TAG donks out on this flop for $60 from the Big Blind. From playing 
with this player all evening this bet represents trip Queens, usually KQs+, AQo+, 
77 or the rare AdXd. I his is overwhelmingly going to be trip Queens or better. 

Ihe next two players fold. Ihe Hero thinks that the TAG will bet again on 
the turn unless a Diamond comes. The bet on the Turn will be too large to call. 






























Is the Hero right to call for his flush draw here? 


If Hero is not already drawing dead against the TAG s full house, he has 8 
outs. Ihe ninth Diamond will boat up the TAG and Hero will lose the rest of his 
stack. Jake Hero’s eight outs and double it to 16% while adding 2% bonus and 
we have 18%. Call it 20% for simplicity. 

Hero will suffer this $60 loss four times for a total loss of S 240 for every w r in. 
If Hero gets paid in full every time he binks his flush, there is 8220 in reserve 
and the current pot of SSQ+S60 for S360. He will make SI20 over five trials for 
an average w r in of S24, under the rosiest conditions . 

Ihe above though does not account for TAG s redraws on the river. Instead 
of getting paid off in full for a profit of S360, we have to account for the fact that 
TAG will still occasionally beat a flush on the river. I he TAG still has 10 outs to 
a boat or quads. 

We do the math again saying that on the turn the clean Diamond out was hit 
and both players are all in for 8280 for S560 plus the original 880 making a S640 
pot. When the Hero hits good on the turn and gets paid off, because of redraws 
Hero still only w r ins 77% of the pot on average (Not 100% as we assumed above) 
or 8490, call it 8300. 

This means that Hero will call the flop and 20% of the time he will walk away 
with S3 00. 1 his is a profit of $220 from his current stack of $2 SO. Ihe other 80% 
of the time he will fold for a loss of S60. Four loses of 860 is a total loss of 8240 
and this is offset by a single win of S280. Over these five trials Hero is up 840 for 
an average win of 88, under the rosiest conditions. 

What does that mean overall? Look at our assumptions: 



* Hero is against trip Queens, not the boat. 

* Turn hits the dean outs or a brick, not the poisoned flush out. 

- Hero gets paid in full when he hits on the turn, but 25% of the time he 

still loses to redraw. 

■ Hero folds on the turn when he misses. 

After all of this, Hero finds an S8 profit on average through this line under 
ideal conditions. 



What about more realistic situations? 


Sometimes Hero is against a boat already and is drawing stone dead. Worse, 
he will stack oft" when a flush comes on the turn. When against a full house, the 
rAG might bet small enough to induce another call on the turn. One card in the 
deck will quietly make the TAG a boat and Hero w'ill stack off dead to it also. 

On the rare occasion that TAG has a nut flush draw the lAG will stack Hero 
when the flush comes in. in this flush draw over flush draw situation, Hero’s pair 
outs will be very hard to capitalize on since he will not know he is good when 
he does hit. 

If the Hero really believes that the TAG has KQs+, AQo+, 77 or the 
occasional AdXd then this call is at the rosiest a break even call when against 
a single Queen. Sometimes this hand has massive negative implied odds. I he 
TAG also might not payoff the flush, making the play even more dubious. This 
is a high variance, losing play for the Hero under the gentlest of assumptions. 



Facing a Massive Donk Ship on 

the Flop 

Effective stacks; $500 at S2-5. 


Naive player who I just stacked one hand earlier. He limps in pre-flop and 
then calls our S35 raise. He could have just about anything here. I he player 
was terrible and could have anything from the other two Aces to low suited 
connectors to suited garbage hands. 


A A 

* 


vs. 


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H 



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gin ::= ■.-i- L J s ~‘: " r -- 351 33a & 


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We jump right to the flop. 





-\ 

7 

/ \ 

J 

[3~1 



L±J 

•f* 

^ j 

t , 

k _ 4 




Pot: S77 

l wo players, we are in position, S465 stacks 

























Ihe Villain clonks bets all-in forS465. What do wedo here? A terrible play r er 
might do this for a variety of reasons. He was tilty from the prior hand, he does 
not know how to play a flush draw, or he is afraid of the flush draw, the kinds of 
hands w r e expect to see here are: 

* Flush draws 

* Overpairs 

■ Sets 

How are we doing against each of these? 

Flush draws: These draws only have eight outs because we have a blocker, 
there is also a negligible effect where we can over flush if he does turn his flush. 
Fight outs, twice is the Rule of Four for 32% with two bonus percent for 34% 
equity. (The actual number is 33% so that is a fine estimation.) If we call, there 
is a £1000 pot and we are entitled to S666 of it. We make S200 on average when 
we make this call versus flush draws. 

Overpairs: Ibis Villain clearly plays erratically and he might have been 
playing pocket Kings waiting for a safe flop. With the flush draw out there, he 
might ship it in w r ith Kings or Queens here. If he holds these hands, he has two 
outs twice and so that is about 8%. That means we are entitled to S920 of the final 
pot. We make about S460 on average when we make this call versus overpairs. 

Sets: Sets are the big fear here. If we think he would play an overpair like 
this, then for the same reasons he would play a set like this also. We are the ones 
drawing thin. Our backdoor flush draw adds another 4% to our 8% for about 
12%. We are entitled to SJ 20 of this pot, so we lose about $340 on average when 
we call against a set. 



lime to count the combos. 

Overpairs: Four Kings times three Kings is twelve pairs, but order does not 
matter, so it is six possible pairs of Kings. I his makes twelve overpairs of Kings 
or Queens. 

Sets: 'Ihere are always nine sets possible on unpaired boards where we don't 
hold blockers. 


We can actually stop counting right now'. 



I he overpairs are more numerous than sets. Overpairs win more than the 
sets lose. This, means the overpairs alone more than pay for the sets. Mhe flush 
draws are all massively profitable so this becomes a fist-pump call. 

Villain showed two Clubs, missed and left the table down $ 1000 in back to 
backhands against me. 



Folding Top Pair + Open Ender 

Effective stacks: 70 big blinds in a tourney, far from the money. 

We open for three big blinds in late position and are called on the button 
by a solid player. 


K 


~Y“ 


vs. 


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Eii E5i K'. .Ui C=. El. 

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We get to the flop: 


J 

fiol 

f s 

7 


f > 

t T J 

4 1 

_:_> 

LVJ 

-j 

L-—J 















Pot: 7 BB 

Two players, we are out of position, 67BB stacks 


We tire 4BB in and are called. Off to the turn: 









r j’ 

[lb 

f ^ 

7 

f s 

a 




4 , 

V J 

* 




k a 
♦ ♦ 


Pot: 15 BB 

Two players, we are out of position, 63BB stacks 


We have the new top pair and an open-ender. We fire 12 BB in and the 
Villain ships in his remaining 51 BB. Regardless of the strategy of the line up 
until now, what is the best move on the turn when we get shipped on? 

First question is what do we put him on? 1 his is a solid, conservative player. 
We do not think he does this as a bluff. 1 here are no combination draws available, 
and we have the best pair plus draw. What makes sense? 

* Straights, flopped or double gutter on flop 

- Burned two pair 

We are drawing reasonably well versus the two prime candidates. Let’s 
figure out our target equity. I he pot was 15 BB on the turn, we bet 12 BB and the 
call of 12 BB makes the pot before the raise 39 BB. Let’s round it to 4QBB. W'e 
have to call 51 BB so lets round it to 50 BB. 











'Ihe final pat would be 140 BE and we would be putting in 50 BE. I.50BB 
final pot would mean w r e were putting in 33%. Ihe pot is a little smaller than 
that, so our call is a little bit bigger percent of the smaller pot. Lets say 33% since 
it is easy to remember. 

dr 

Straight: We expect Villain would have 89s for a flopped straight, though 
King Nine would have made a sneaky double gutter. Either way, the Villain 
always has one of our Nines so we only have seven outs and we are drawing to 
a chop against the double gutter. Seven outs is only 16% equity, and sometimes 
we are chopping, so it is even worse. 



Two pair: I his is very consistent with the play of the hand if the Villain 
holds top two pair. Flopped two pair or Sets would have l ikely made their move 
on the flop. Lets just take the top two for our math here. We have eleven outs for 
22% plus about 3% bonus equity for 25%. 

We can stop the math immediately. Ihe two most likely' hands are nowhere 
near target 33% equity we are looking for. 5IBB is a good fighting stack, so we 
fold and go on to the next hand. 



Nut Flush Draw Against “Same 

Bet” 


Effective stacks: 1300 in a S1-S2. The Villain limps and then calls our S12 
raise. 


p"- 

A 

4 

♦ 

♦ 


vs. 



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The flop comes: 


V 


7 


r S 

IV 

l 

V 

L ^ J 

t j 

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♦ 

l ^ j 

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K _^ 





Pot: S27 

Two players, we are in position, S290 stacks 


I he Villain checks, we bet SI 5, and the Villain check raises to $30. 


the mental dialog here is, “Our opponent is an idiot, this bet serves no 
purpose/' We might consider a re-raise, but it is unclear we have any fold equity. 
Lets just follow the calling line. 

We are almost certain to face a bet on the turn. We already know there 
is plenty back to chase a flush draw for one card, but let's do the mental math 
anyway. We are hunting for “SI5s” since we have to call that amount. We see 





















the Villains current raise for one, his call for two, and our original bet for three. 
I here were two mote in the original pot of S27 for a total of five. Hush draws 
come in about 20% on the next card, so we aie getting direct odds to call for the 
flush without implied odds, ihe implied odds only make it clearer. Additionally, 
our Aces might be outs and some beautiful days the Villain has a worse flush 
draw. All these add value to the call. 


-\ 

r 

to 
^ _ 

71 

* J 

Ld 

L._ j 



A 4 


Pot: S87 

Two players, we are in position, S260 stacks 


Ihe Villain announces same bet and throws in SIS. Ignoring the more 
aggressive raising line, this is a trivial call. His range has not strengthened, in 
fact it has actually weakened with this silly bet that gives us 7:1 on our call. 

Since we made the flop call assuming we would have to call a turn bet and 
the pot got bigger while the bet stayed the same, we are getting better odds. We 
know for certain the calling line is profitable. 

Rounding off the numbers and going to the River: 











Our Villain checks. For him to have us beat, he would have needed to min 
raise the flop, min bet his flopped set on a flush draw board, and then check the 
river with a full house. Players would almost never play a flopped set like this 
and Quads are just not likely either. 
























We overwhelmingly hive the best hind, and the Viliam likely has a very 
dubious King. We bet whatever w r e think he would be willing to calk Even 
though the pot has ballooned to £120, the Villain has essentially put in his half 
SI 5 at a time. Know your player, and bet what you can. I bet S4f>, and he folded. 

Ihese ridiculous min-raise and barrel “same bet’' are common and price 
you in with your draws. I he Villain feels like they milk us for the maximum 

Si J Jf 

because usually we miss. As we saw, we had the correct direct odds to call, so 
Villains tiny bets are a mistake that we are happy to benefit from. 



Big Draw Versus Turn Check 

Raise. 


Effective stacks $300. 

Villain limps inMPL We raise to SI2 with KQs and get called by the limper. 
Ibis Villains range is not particularly well defined by limping and calling. We 
can put him on a range like this: 


/ - *1 

IK 

j* - 

Q 

\JL 

\jl 


VS. 


I k lj l p 


MKhi K’l Ift I !■ I-i Kv. tli 

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life! Ill I Th i i JJi Vm 12 a 


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Ci 



l£ i'. 


It will be very Villain dependent. Most Villains would have raised with 
Aces,so they can no longer have them now. Some Villains would limp-reraise if 
they had Aces or Kings. Some Villains don’t like to raise until they see a favorable 
flop. I his range is just an example to work with and nothing more. 











/ \ 

J 

CD 

to 

V, 

♦ 1 

J 

Vj 







Pot: S27 

Two players, we are in position, S190 stacks 


Ihe Villain checks. We expect that to happen most of the time, so we can 


























not make much of a read here. While we only have King high, we have a gutter 
bail straight draw and a second nut flush draw, two overcards can be north 
something also. We bet S2Q into a S27 pot leaving S17Q behind. 

thinking of made hands, overwhelmingly Villain has top pair when he check- 
calls the flop. I here are lots of slow played overpairs and some sets possible also. 
Even against top set we are drawing very well with 33% equity. 

Ibe call instead of a check-raise is also telling. Imagine that you hold a set 
of Nines on this board. Every Heart possibly brings in a flush. Seven, Eight, Ten, 
Queen, King can all complete a straight. This check-call indicate that there is an 
upper limit on the strength of Villains hand. When the time comes, we might 
discount the sets, flopped two pair, and overpairs from his range. 

There are a handful of flush draws and straight draws possible on this board, 
a fe w with a pair to go with them. Considering that we have huge equity against 
even top set and the fact that Villain will fold often on this flop, w r e are happy 
with the bet and not upset that w r e got called. 


The Villains range looks like this: 



__ jPai-R- 

i * 9# Iw 



ft 

:. : h 

]| 

fib 

5 b 

-h 



2b 


" 

Ad 

h. ■ J 

f—I 

As 

b 

KA 

& 

Or: 

Q* 


1* 

Jd 

Ji 

Te 

Td 

Ts 

& 

6fl 


k 

8a 

s. 

i [ -c 

flflj 

ijil 

6c 

fra 

i fa j 

Jc 

vs 

e* 


-a 

-Is 

1 ,c 

hi 


as 

M 

F - J 

B * J .n J ,s 


12253* 

1 . 3 . 5 1 * 


i'2" = 


■yi 

Y 

Y Rltt pan 

Y •iH.erpti 

Y top 

pp Twlc-w [p 
middk pi* 
wrak pair 

higji 

□□ rriadr hamd 


Y Huihiiuvi-- 

Y OLSD 

gUCElliM t.L2% 

ijvetr-irdi- i?j 

2crd bckdr fd. |>,E'j 

tu:Jh*iv.'-ji3ir 13.3'% 
Oft 
Oft 

sm 

Oft 

oft 

Oft 


fijihii’-nv?',: 

Y f.'Jihdr ^oejd. 

r ■ ■ ■_! i ■ 1 - —EUlat 

Y Mid-pan 

Y JUtEJlM’pdn 

?uc:Vi*-ci'. , ffc. 


.AB i'i^r -r^>.- Ujiiif 


We are not terribly concerned about reading the hand too much yet, though 
it is safe to assume we are behind at this point. 




























T 

Q 



n 



0 

4 j 

o 

* 


u 

, ; 




IK 

■"-N. 

fl 




Pot: S67 

fwo players, we are in position, SI70 stacks 


Ihis is a great card for us. Ihe top pair changed and the Villain mostly had 
top pain Unfortunately, a straight came in for King Ten and for Eight Ten. We 
improved our hand against the most expected holding of a Jack. All of this 
encourages us to bet for value. 


We bet 5^0 into the pot and the Villain check-raise ships in the lest of his 
stack for SI20 on top. 

We now have a math problem. First, the calling odds. 

Using nice round numbers to keep things simple the analysis looks like this: 
Our S50 and his call are S100. There was about S70 in the pot on the Turn. He 
shipped SI 20 in, so we are looking for how many " SI 20" we can find. His bet is 
one, the pot holds SI 70 before the ship, so that is two more. There is a remaining 
S50 which is just under half. 


We have found just under 2.5 times our call amount in the pot if we call. 













Next u r e want to calculate our needed equity from the calling odds. If we 
can not convert 2.5:1 into a percentage from memory we can estimate it from 
easier to calculate ratios. We will bracket the 2.5 in between 2 and 3. 3:1 on our 
call would be 75%-25% to break even as the lower estimate. Similarly, we figure 
2:1 on our call would be 66%-33% to break even. We need somewhere between 
25%-33% to break even on this call. A mathematician would correctly say we 

jr j 

can not simple average 25% and 33% to get the actual percentage since the math 
does not work that way. This averaged estimate would put us at about 29% If we 
call it 30% that is close enough for w r hat we are doing here. 

By chance, the actual number is that we need 30% equity to break even 
because we are calling SI20 and the final pot will be S4J0. This means we are 



putting S I 20/£410 or 30% of the money In the pot and we need to collect at least 
that percentage back. 

If I were using this percentage method, I would estimate the percentage of 
my call Ur is way in my head: S4I0 is close enough to $400. ifw r e halve SI 20 and 
S4Q0 we get S60 and S200. Halve it again and we have S30 and SI 00. This is 
30%. ("the more of these shortcuts you know, the faster you can estimate.} 

Whatever method you use to arrive at “about 30%'* equity being needed is 
fine. Next we estimate our needed outs. Thirteen outs times two is 26%, then we 
get a bonus percent for every four outs. That bumps us up thiee more percent 
to 29%. Again, this is close enough. ffw r e have thirteen outs, we are break even 
to call. 

Next, we need to know what Villain has heie so we can count the outs. Will 
the Villain ever do this with a draw? At most low stakes games, the answ r er is no. 
This Villain has a hand, and it is better than ours, is it possible that he picked 
up a pair with his flush draw? AhQh would be a great combo draw, but he can 
not hold that hand since the red lady is with us. Ace and Ten of Hearts is the 
biggest draw possible here. There is only one combination of this hand, and we 
are ahead of it. We can mostly ignore this hand, and it just builds a safety margin 
in for us since we beat it anyways. 



What about big hands that would check-raise shove the turn? The most 
obvious are the straights, sets, two pair and the occasional over pair that 
was played strangely. I lie good news is that our best draw, the flush, beats 
all of these hands. Our second draw to a King high straight is usually good 
or at least chops against the straight. We assume our flush or straight is 
always good when we make it without pairing the board. Ibis gives us eight 
flush outs and three straight outs. These are eleven absolutely dean outs. 
We are targeting thirteen to just break even. Our quick estimate using only our 
flush and straight equity says this is a fold. We might find a call with further 
analysis though. 

Remember, thirteen outs is our break even point. We don't actually make 
any money at thirteen, we just have a wild ride where we break even over the 
long term. 

Since the short-cut did not give us a clear call, we can go to the individual 
hands. 

The straights. We have nine clean flush outs for about 20% equity. 

Every now and then we are against Eight Jen (without the Ten of Hearts) 



and have two bonus out to a higher straight. Ibis is just a little bonus equity that 
will not change our calculation. Sometimes we catch our straight for a chop. We 
have 20% and need 30% so we are losing about 10% of S400 final pot in this spot 
or S40. 

lbe sets. Pairing the board w r ith the Nine of Hearts is a poison out. Since we 
are calling all-in there are no reverse implied odds where w r e lose more money 
when w r e hit our hand on th is out. Ibis gives us our normal nine flush outs 
minus one, for eight flush outs. We can add our three straight outs for eleven 
outs total. Double the eleven to get 22% plus 1% bonus for every four outs is 
more like 25%. We are 5% down or S2Q for the sets. 

Overpairs. Pocket Kings or Aces may have gotten here for some Villains. 
With these we have nine flush outs, and we also get the tw r o Queens for eleven 
solid outs. 

I here are sis conditional outs: three Kings and three Lens against Aces. 
3 be three Tens are chop outs against Kings. Of these sis conditional outs, lets 
discount it to three. Eleven plus three is fourteen outs, so that is 28% I- 4% bonus 
or about 32%. Some of this is chopping a straight w r ith pocket Kings. We can call 
that break even against the over pairs since we need about 30%. 

Two pair. Two pair is either Jack Nine, Queen Jack, or Queen Nine. Jhe w r orst 
case scenario is two pair w r ith a Queen, and it is also the most consistent w r ith the 
play of the hand. We will assume the worst case, meaning our Queen outs are 
no good, but our King outs are good. This gives us nine flush, three straight, and 
three King outs for fifteen outs 30% +4% bonus for 34%. I bat is J 5% over what 
we need or S60 profit. 

Now r w r e know r the outcomes of each likely holding, and w r e must figure out 
how likely each is. 



Straights:'I he re are 12 combos of KT and 16 of T8. This is 28 combos 
Sets: Ihree of each for 12 total combos. 

Two pair: Nine for J9, six for Q9 and six for QJ. ibis is 21 combos. 



So now if we play against every possible combi nation, with the more 
nuance d analysis, here is how we are doing: 

* 30 Straights losing $40 each for -S1200 

* 12 Sets losing S20 for -S240 

- Overpairs break even, no need to think about them. 

* 20 two pair winning S60 for S1200 

Ibis call looks more and more dubious. To make this a call, we need to 
discount the straights and sets from Villains range. Put this into Flopzilla and 
try different ranges, it is very difficult to justify calling here. 





vs. 




313 




vs 




vs. 




vs 




vs 




vs. 




vs. 




vs. 

















































































vs 



/ \ 

3 

t -" 

9 

VS. 

^ 4 ' 

l*J 

l±J 


4* Jl ♦ 

*_A_£_ 4 

























vs. 




SO vs, 20 




vs. 



' k 

t ' 

A 

VS. 

K 

[fll 

uu 

A 


LLI 

♦ 


vs, ffi 33 


vs. ff 


— 

J 

f f 

10 

LL 

A 


r—■"* 

3 

P p 

3 

L±J 

♦ 

„_ 1 _y 


vs. 



r-' 

1 J 

^^ 

J 

L±- 

A 


vs. 


A 

* 




y\* 


7 

v 


ITI 

/■—\ 

9 

vs. 

f ' 

K 

fsl 

ulI 

* J 

V _ t _ J 


j-J 

JL 


vs. ft 30 


ft 7^1 vs. 2 ^ 


% ^ vs. ff 3 fe 


?■ 


50 


VS. 


vs, *$. 



F 

A 

r- 

i 


•i* 

k _y 


vs. 


9 

♦ 


8 

♦ 




vs. 




50 


% 5 ± vs. ft 3 £> 


ft 53 vs. ft 4 y 


y--> 

IK 

3] 

VS. 

F 

K 

2 

L±- 

A 


JJ 



F 

10 

F P 

10 

L*. 

A 


vs. 


F 

J| 

t F 

J 

*±J 

-*■ 

S_1^ 



vs. 




ft 53 vs. ft •4-~7 l 


ft lg vs. ft_22 


ft 54 vs. ft_4ik 








































































































































































(Tol 

fsTI 

VS. 

Tol 

f -\ 

2 

fiol 

561 

vs. 

r —" 

2 

f -\ 

7 

aI 

♦ 

s _i_> 




k *J 




A 


fa ftQ. VS. fa SO fa £8 VS. fa 


r - 

a 

fa] 

vs. 

A 

r **! 

10 

r-’> 

K 

2 

vs. 

- 1 

J 

s -\ 

10 

L±. 



A 


Li 

A 


JL) 



f, &2 vs. f> 32 ft, 53 vs. f 47 


fe] 

6 

vs. 

[T 

2 


A 


L±J 



£1 vs. $ 19 


iti 

* ' 

J 

vs. 

rsi 

S -\ 

2 

LT 

a 



A 


% gf) vs. 11 




vs. 




f>j£±L. VS. ft 35 



f \ 


J 

9 

v ” j 

A 


vs. 




ftj^3— vs. ft 3± 


r“—i 

3 

fsl 

* 

■h_±_ J 

A 


vs. 






vs. 





vs. 


- \ 

3 

3 

* 

^ ___ > 

A 


ft vs. ft 31 


ft VS. ft 3g 


ft VS. fa 18 




















































































































































vs. 



% 4 3 vs. % 5~1 


r-—=^1 

10 

ra 

♦ . 

* 

l_;_ d 

? g-9 

r-■> 

9 

f9l 

-_ t _j 

4 

t_ i _ d 


vs. 





vs. 



&0 vs. 40 


r > 

7 

r ' 

5 




vs. 



vs. 


3 

v 


4 

v 



vs. 


r- a 

J 

[7 

JL 

JL 


ft £>2 vs. % 3& 


%JLl VS. 21 


°(o_&fe_ vs. % 34 


r-^ 

r > 


f *1 

/■-> 


r > 

r-" 


r “ 

^ 

K 

2 

vs. 

J 

10 


K 

a 

vs. 

7 

6 







A 

HE* 

K___> 



ul 


IK 

fa] 

vs. 

r *i 

7 

r-*i 

2 

jL 

■,_ i _ d 



L*J 


% vs. % 34 


St. vs. ft 4,9 


£>1 vs. % 3^9 


r -^ 

f~ -> 

A 

2 


k._:_> 


VS. 




vs 




vs. 




% S± vs. % ^3 


% <£&. vs. fo 34 


^_^Z. vs. 31 






































































































































































































































/-> 

K 

J 

✓-' 

3 

J 

f m ■ ■> 

/-\ 

2 

♦ 

^ 4 > 

-\ 

10 


f > 

K 

A -j 

r ^ 

3 

J 

f 

/- 

2 

jL, 

/-\ 

2 

♦ 

^—— * 

f ■> 


< ■» 

K 

J 

r— > 

/-\ 

3 

L+, 

f y 

2 

^ 1 ^ 

/-\ 

10 

r 1 v 

^ * 

K 

A 

UL 

VS. 

9 

s + , 

8 

K 

JL 

A 

LL 

VS. 

9 

8 

K 

JL 

A 

VS. 

9 

* 

v_- 

8 


# oucts 


9 


fo 2Q vs. % SO 


K 

± 

K 

* 


-\/- \r 


3 

+ 


2 


2 

* 




-/V. 


A 

+ 


vs. 


9 

+ 


# DW.tS £) 


100 vs. £_0 


# outs S’ 


IS vs. ft S2 


< > 

/-\ 

7 

r* ^ 

r > 

J 

\ 

r 

> 

2 

JL 

<■ > 

Q 

>• > 

< > 

7 

< > 

t > 

j 

r > 

2 

JL 

r > 

a 

r 

>* > 

8 

Jl 

a 

♦ 

J 

i 1 ^ 

VS. 

A 

JL 

3 

JL 

a 

♦ 

i ^ 

J 

* 

VS. 

A 

JL 

3 

JL 


# outts 


7 


£4 vs. 


# outs S 


^_S2_ vs. IS 


# outs S 


ff S2 vs. ft IS 


























































































































































































7 

r ^ 

J 

** - ^ 

2 

ffll 


171 

(71 

(71 

(7| 



fj] 

(7| 

ffll 

♦ 

L-±-J 

k *, 

4* 

h ___> 





Lbl 

* 


i 


4* 

<._> 

. v. 

a 

J 

V3, 

A 

3 

. r ’ 

a 

r 1 

J 

V3. 

A 

r ^ 

8 

r ^ 

Q 

J 

V3, 

r ^ 

A 

♦ 

♦ 




♦ 

4 



4 

♦ 

4 


lSL 


# outs 9 

vs. fo 20 



# 0UtS_3_2_ 

% 3^) vs. % £>1. 


# outs £ 


% £2 vs. lg 


r -i 

— 

r - 

/-\ 


K 

K 

3 

9 



L 4 J 

A 

. + . 


3 

2 

V3, 

A 

7 1 

1 ♦ , 

> ♦ , 


li 

A 


# oucts 2> 

£1 vs. 39 


# outs 


S 1 ^ vs. % 20 


7 

i 

2 

r-i 

3 

(T| 


[♦, 


LL 



7 

7 

V3, 

A 

r 1 

K 


A 


L*. 



# outs 7 1 


8^t vs. iO 






























































































































































































































































































































































































































































































































































































































































































































T 

r-^ 

6 

•f. 

r-■> 

5 

•I* 

K 

4* 


4 

6 

> + , 

5 

A 

K 

[ + , 


6 

4 

V * j 

’o' 

5 

A 

K 

+ 


/—^ 

A 

/ - ^ 

6 

vs. 

f - 1 

7 

- * 

8 

/ - " 

9 

/-1 

6 

vs. 

<■-1 

7 

- ^ 

8 

/ - 

7 

’6' 

vs. 

f* -*1 

4 

r-■* 

13 


It 




L 

It 


It 

It 

L t 

V 


t. 

Lt 


# OK-tS_ g 


# OK-tS -4 


# outs 


§*2 vs. ^5_H? 




r -y 

10 

f -*■ 

K 

r -> 

4 

fsl 


. t 

4 

\ ___ * 

JL 



r ' 

10 

io 

VS. 

r - 

J 

a' 

Lt 

+ 


* 

4- 


# outs_ g 


fsTI 

(¥] 

3 

r > 

2 


It 

It 

It 

i _ 1 ^ 


K 

r ^ 

K 

vs. 

r 7 

a 

1 

J 

t 

•fr 


4 

L * j 

t 


# outs ± 2 . 


f9l 

r- n 

8 

? -^ 

3 

[z] 


It 

. •*■ . 

JU 



K 

Y 

vs. 

a' 

J 

JL 

*f* . 


4 

4 


# outs 3 




vs. % 



fo E2z vs. % lg 
































































































































































































































































































































































f -“> 

4 

f -> 

K 

T] 


f9l 

fsl 

(si 

f2l 


r 

9 

f —■> 

8 

' -> 

3 

r -> 

2 


[♦, 

y, 


l - i - j 


[ ♦ , 



- ' 


[♦, 

* ? * , 

. ♦ J 

♦ 

L-±-J 


A 

K 

VS, 

7 

6 

A 

9 

V£. 

10 

J 

a 

a 

V£* 

10 

r 1 

J 

•f* 

♦ 








jL, 


Hb 



[♦, 


# outs 15 


vs. 3-4 


# outs 21 


£_5J2_ vs. % , 4'& > 


# outs 13 


f 0 7~0 vs. $ 



[9] 

fel 

, ♦. 

. + , 

9 

8 

♦ 

LL 




# outs 15 


£>£> vs. ^*4- 


# outs 14 


# outs 13 


£>g vs. % 32 


3^0 vs. $ 30 





























































































































































































f9l 

f -> 

8 

r ^ 

3 

(Tl 


[91 

f^ 

8 

f — ^ 

3 

[3] 


fol 

f -■> 

8 

f6l 

I -- 

6 




±J 

♦ 


L ♦, 


±u 

♦ 


. 

. * . 

4 

. * . 


/ ' 

A 

a' 

vs. 

p*- > 

10 

r -' 

J 

f - 

A 

A 

VS. 

p*-■p 

10 

r -' 

J 

/ -" 

A 

'a' 

VS. 

p^-i 

K 

t -■< 

7 

3^ 

JJ 




L±- 

l±J 


jt. 

^^ 




A 

3^ 


# outs 14 


vs. 3^2 


# outs 13 


7^0 vs. 3D 


r- s 

9 

f -■> 

8 

.4. 

6 

tJ 

IT 

4 


f --t 

9 

r - \ 

6 

4 

i*-' 

A 

4 

3 


[9 

* 

s - 

6 

4 

K 

4 

f -> 

9 


t ' 

A 

a' 

VS. 

f -1 

K 

f -" 

7 

f -" 

9 

'9' 

vs. 

p*- 

7 

f 8 l 

/ -1 

A 

'9' 

VS. 

p*- 

7 

t * 

8 

JL 



A 

i_*L 

* 

^^ 

♦ 



4 

s_ t _✓ 

L±- 

4 

. _ . 



4 

S. ___ * 


# outs 


£?£> vs. ^ ^.'4' 


# outs 14 


0S* vs. 3^ 


# puts 13 


# outs 13 


~f"Q vs. 30 


% y~0 vs. 3D 
































































































































































































































































































































































A 

f -> 

3 

r©i 

nn 



i ♦, 

±J 



A 

K 

vs. 

10 

10 

ID 

A 


•J* 

L x H 

Is 


# outs 2 


% vs. % _ 5_ 


ITl 

7] 

* —^ 

8 

-- ^ 

2 


♦ 

♦ J 

S 

! * - 


z' 11 

a 

^ % 

j 

vs. 

1*-*1 

2 

f-" 

3 

ls 

i*j 


A 

Ls 


# outs S 


% ^3 vs. % 11 


r-*\ 

a 

71 

*■—^ 
8 

T| 


4 

t_ 1 _> 

4 

V- ~ J 




r i 

a 

r~ 

J 

VS. 

2 

r 1 

2 

LL 

ILL 


SJ 

Is 


# outs 2 


vs. $_ 5_ 


feH 

r- s 

6 

| 2 l 

ITl 

l*. 


sJ 

.v. 

K 

K 

VS. 

7 

4 

\_±_ 

Li 


i ^ ^ k 


# outs_ Q 


% ~100 vs. ^_ O 


7] 

171 

- 1 

81 

r -1 

2 


Ls 

4 

k_ L _, 

S, 

.S 


. r ■ 

Q 

J 

VS. 

2 

K 

Is 

4 

L_Lj 


sJ 

S. 


# outs 5 


<?--L vs. iLlL 



# outs_ 3 


% _^3 vs. ^ 
































































































































































f > 

9 

y--’■> 

9 

[FI 

f -1 

8 


4 

♦ 

♦ 

. ♦. 


/"-' 

A 

/ " 

2 

VS. 

r -m 

7 

s -1 

7 


4 


A 

l*. 


# outs 2 


3s vs. ^_ 5 


9 

f -\ 

8 

. ♦ , 

7 

4 

f -\ 

6 

♦ 


z-' 

9 

[8l 

vs. 

t - > 

7 

f 

6 

4 

k_i_ * 

liJ 


A 

L± 


# outs_ y- 


% S*4~ vs. 



#outs 11.5" 


% vs. ^ 


(71 

71 

- 

2 

|T| 


L ♦- 

4 

* v 




r 

A 

A 

VS* 

K 

K 

4 

iL 


♦ 

^_i_ s 

A 


71 

S -"1 

7 

8 

r -v 

K 


71 

7 

r ' 

8 

71 


[♦, 

♦ 

♦. 

y. 



4 

^ r j 


y t 


r i 

8 

8 

VS* 

A 

r t 

A 

i r 

8 

r 

8 

VS* 

6 

6 

A 



A 


v±> 

L*. 


jL, 

LL 


# outs 2 


# outs 2 


# outs (9 


J^5 vs. 5 


100 


vs. % 


0 


ft .,95" vs. ft_ 51 


















































































































































































rsi 

(71 

/ - \ 

8 

fin 


i>, 

4 

L- 




r ^ 

8 

8 

V3. 

r ^ 

K 

r 

7 

IjL 



- > 

Li 


# outs 2 


ft i5~ vs. ft -5~ 


3 

7 

8 

K 


3 

7 

8 

3 




L ¥ . 

.v, 


l ♦ , 

[*, 

A 

♦ 

-— *— - 


8 

r ' 

8 

V3. 

3 

7 

F— 

3 

r-1 

A 

V3. 

K 

- " 

K 

±* 

Li 



A 

Li 

Li 


lJi- 



# outs_ £> 


ft JLOO vs. ft £ 


# outs 2 


g _ 5 


VS. % 




A 

7 

[♦- 

* ^ 

8 

T 

. *, 


/■-i 

13 

/- - " 

A 

V3. 

—> 

K 

/ - * 

K 

Li 

Li 


Li 

Li 


(T| 

7 

fsl 




■ 1 

7 

7 

vs. 


Li 



2 

+ 


A 

♦ 


\r 


2 

♦ 


-- 

-^ 

-^ 

r- "> 


A 

[A 

2 1 

5 



1 ♦ . 

L HE* . 

L ^ 


/ ^ 

A 

/ \ 
IK 

vs. 

f ^ 

A 

f ' 

a 

A 

Li 


li 

IjL 


# outs 2 


# outs 2 


# outs 3 


ft ifT vs. ft -5~ 


ft ,_9s vs. ft -5~ 


ft .Li vs. ft. 









































































































































































r-> 

A 

r-> 

A 

!♦- 

r-> 

J 

wi. 

f -' 

5 


r- 

A 

A 

f-1 

7 

A 

V<S, 

f ' 

A 

f-^ 

2 

L?l 


# DU-ts. _ 3 


3 vs, l fo_y_ 



A 

* 






7 

4 


vs. 



# c^ts 5” 


*23 vs. XI. 



# outs Q> 


g(g> vs. % 


/■ -V 

a 

171 

fsl 

r -' 

15 



•f* 

L±J 

4 


r -> 

A 

\9' 

vs. 

-•> 

K 

-^ 

a 

A 

* 

_-_H 


i 

* 

k,_> 


# OU-tS 


% 23 vs. foJfJ: 







1 ^ 

5 

*-•* 

3 


r*-^ 

8 

fe] 

fs] 

r-> 

3 

J. ♦, 

JL 


i ^ ^ 



JL 


V3. 

fy 

r-^ 

3 

r i 

A 

k' 

V3. 

f n, <\ 

a 

[ j' 


+ 

. ♦ , 

L*. 



4 

4 

^_i_J 


# OUtS_ g 


# Putts 14 


iS* vs, % 2*2 


% £?£* vs 









































































































































































































a 

3 

2 

10 

4* 

. 4- . 

♦. 

v . 



vs. set 


# outs! T - O 


f_0 _vs. fo 1 QQ 



vs. set 


# outsi T - S’ 


IS 1 vs. S2 



vs. 



# outsl T - 2 


5 ~ 


vs. % 


3s 



vs. 


set 


# outs! T - 15 


f 34 vs. 


9 

♦ 

9 

♦ 

vs. 

set 


A 

K 

vs. m 

set 


# outs 1 1 

- 0 


# outs 1 1 

- 4 

? 2 

vs. fo. 

100 

fo 3 

VS. f. 

3± 


















































































< 20_ vs. % 20 


ft 23 vs. 


f -' 

K 

i 

J 

+ 

< _ / 

jk. 


VS. Nutt Ft> 


f9l 

n *\ 

9 

JJ 

L ^ i 


VS. 


# outs A.y~ - £ 


# OU.tS 



v=s. 


1A vs. £?<& 



Nut FH 


\7-±o 




VS. Nut Ft> 


# outs A ^ - 7^ 



£A vs. 1<& 


Nut Ft> 


r ' 

A 

H J -> 

K 

VS. Nut Ft> 




l 1 j 




12 


# outs A ^ - 12 

























































































Q 

3 

2 

10 

. A . 

4* . 

♦ 




VS. overpaid 


# outs A A ~ 2 
5~ vs. %^5 


t *\ 

r ^ 

k 

J 

A, 

A, 



vs. 


overpair 


# outs A - £> 


14 VS. ? 0 _E&_ 



vs. 


Overpair 


# outs AA ~ 2 
-^5 vs. fo 5 


vs. 


Overpair 


9 

♦ 


9 

♦ 


vs. 


Overpair 



VS. 


overpair 


# outs A A -13 


30 vs. fo_^0_ 


# outs. A, A. - 2 


vs 


■ 5 


# outs A A - 4 


3 vs. ..9l 







































































# outs 62. ~T - 2* 
12 * vs. 


r ' 

K 

| J 

VS. TWO Pair 

A 

l±J 




# ow.ts6Z.~r - 2* 


IS 1 vs. 2*2 


r i 

9 

f-> 

9 

VS. TWO PGtir 


L±J 



r — *i 

3 

JJ 

r 

3 

L ^ , 

VS, 

two Pair 

# OK 

? ~9± 

.ts GIT - -4- 

VS. 

f 0 ...9 

r 

A 

jlI 

r ■> 

K 

liJ 

vs. 

Two Pair 


# outs 62. T~ -13 


# owts62-T~ - 2 


# outs 62-~r - -4- 


30 vs. To 



vs. 















































































\ 











































































































































































¥ 



♦ 



4 



4 




VS. straight 


# outs 45^ 1.0 


23 


vs. % 






A 

A 

VS 

^3 







# outs 


-1 


? 3g 


VS. % 



vs. two Pair 


# £)U.t£^y^" ~ O 


fo HOP vs. 0 




pp. lr 

VS. + 

ope^ tv'vdtv 



Opfin, evi^tcr 

VS. + 

FLu^h draw 


# DUtS Al<^ - 2 


$ 102 vs. 0 


# puts S’_9 - 2* 
£2 vs. $_lj? 


# outs K_9- 14 

£>£ vs. 32 














































































¥ 



♦ 



4 



4 



VS. Straight 


# outs 


3t-3 


fo 2-0 VS. SO 




vs. 



# 0w±£ 


7?-14 


£S vs. 32 



VS. TW£) PftLK 


# 76^22 

-59 vs. fo_SO_ 




VS. Tcp pftt.r 




PaLr 

VS. + 

ope^. t\A*dtr 



OpfiJA. eader 

VS. + 

Flush draw 


# Puts AK- ~ ±7 

3..9 vs. £1 


#£>W±£S7~ S’ 


# outs kJ> 


« S2 


















































































♦ 





fKl 

fKl 




vs. 



|T| 

(T| 

JL 

+j 


vs. 



# outs 


Jt- 2 


# OUtS 


Jr- 3 


# outs 


Jr -1 


5 


VS. 7o 


°(o^5 vs. fo SO 3R vs. ft 2 




vs. 



# outs 


Jr - 22 


% 50 vs. fo _5_0 


















































































T 

A 

T 

A 

U 

. ♦ . 

A 

, ^ , 

J 

. * . 

* 

. 4- , 




vs. 


Poctedt pair 

bdbw tp 


# _ 2 


x -% 


VS. 7t> 


S' 


K \/c: Pocteet pair 
I ’ bdtawTP 

# owte 62.62. 


X 5 vs. ^ 5" 



Poetedt pair 
bdbw tp 


# cwt£6Z.GZ -C> 


IOC 1 vs. 0 




ppatedt -pair 
bdbw tp 



# ow.te 6Z.6Z ~ "J~ 
X 16 vs. ff £4 


Patteet pair 
below tp 


# DM.te62.62. _ 1.5" 


$ 34 vs. % 66 


f i 

J 

/— *\ 

10 

Pceteetpalr 

UL 

4 

^_ i _J 

bfibw tp 


# 0Mte62.6Z. 






vs. % 


5 
































































































































































T 

A 

T 

J. 

J 

4- , 

ii 

. 4 . 

J 

. * . 

T 

. 4 . 



K| VS. £,U.t shot 


# outs62,r - O 


Jo 1 00 vs. 0 



K i vs. C)U t shot 

# oi/±s 62.T ~ 3 
v3 vs. 




vs. <^w.t shot 


# owtsCZT - 6> 


% ±00 vs. 0 


r 

/■ ■* 

fl 

4 

^_:_h 

4 

\ r j 


vs. CfUt shot 



# outs 62 - 1 - 5 ^. 5 " 


% gg vs. 


vs. shot 


#onts62.T 5\«fT 


S'S' vs. 




vs. qutshot 


# eutsaT - 4 




% 


J>± 






































































7 

Q 

Q 


/ 

¥ 

, ♦ , 

¥ i 

J 

, 4* , 




VS. Fmli- House. 


# outs 


73 -2 


% 5_ 


VS 


.% 3s_ 


f-1 

F 1 

K 

K 

4 

L_I_ j 

.iu 



tIii at of 
a teiiA^ 


# OUtS A - 2 




vs 


, f 3 s 



r f 

- 1 


K 

K 


JJ 

Liu 



VS. overpaid 


# outsi r - 2. 


% ^5 vs. °(q_5_ 




K 

K 


Jiu 


VS. Fli^sli drflw 


VS. 


0p£t/v 

e^der 


VS. overcards 


# ou.ts KL6Z ~ 
^_2T_ vs. % 20 


#0UtsST~ S 


S’2 vs. j.S 


# outs AT - 3 


~v3 vs. A' 








































































m 


7 

Q 

Q 


f 

¥ 

57 

. 4 , 

57 

¥ 

J 

, 4- 




VS. Full House 


to**?? -7 


f> vs. S'! 



vs. 


Three ftf 
a tetiMri 


# cuts aJ- £ 

1*4- vs. ^_£^l 



VS. OVdrpfllr 


# OI/Lt£~| P * 1 


fo 3% VS. ffi 2 




VS. Fiusih dfavv 




VS. 


o-petA, 

ei^der 



10 

♦ 


VS. overewards 


# outz TT - 7 

£M- vs. l.i& 


# outs ST - S’ 


fo ST VS. lS 


# outs AT" - (9 


1<99 vs. 9 


















































































7 

Q 

Q 


f 

¥ 

w 

. ♦ , 

s7 

¥ 

V 

. * . 



VS. Full Htovi&t 


# outs, 77-0 


fo O vs. % 100 



VS. Otffirpflir 


# £)u.t£"i r ■ 12 


vs. % 




vs. 


Th \rtt of 


# OUtS AJ?- g 
lg vs. g2 




vs. FLias>i drpw 



F ' 

f - 1 


A 

10 


JL 

JL 


VS. 




VS. Ovsrcarcte 


# outsf<jj 2 , - i£> 


g<& VS. 


# 0 utsgr- g 


g2 vs. ig 


# outs AT26 p.5^ 


40 vs. <&£> 

































































- \ 

5 

•f* 













































































4* 




4 



4 



vs. set 


# outs- 4"4 - 2 


S 


vs 


.% 2s 




vs. two Pair 


#outsf^"r^ s? 


g iff 


vs. 


% g2 



VS. TopptTLr 


# outs K662 _ 5^ 


% S3 vs. ft 11 



VS. Qvirp&ir 


# o ute A A - 22 


50 vs. -5 O 


A 

* 


A 

v 


vs. 


opt 

evader 



<^at shot 
VS. + 

Overca rd 


# outs 62 _ / ~ (c> 

fZ S*<& vs. % 1~4- 


# outs A 62 “- 4 - 


% -* 1 vs. .-V 
























































































vs. set 


#out£ 44- 1 


vs. 2 



# pwtskLGZ - O 


1Q<0 vs. 0 


ra 

m 

L±- 

Lhj 


VS. r^ppflLr 


# 0 Ut£ A,A "~ 2 


% 3s 


VS. h 


5 



VS. QVfirpfltr 



VS, 


6 iA,der 




CfUt shot 

VS. + 

DverGflrd 


# cixts 62. J- g 

^ S’2 vs. 


# puts 62.-J ~ & 
^_S2_ vs. lg 


# owtsA62.-4 


A 


VS. % 


J> 






































































* 




♦ 



4 





# ow.ts4'f - 2* 


22 vs. IS* 




vs. two Pear 


# ow.tsK,T - 2* 


22 vs. 12 



r ' 

r-- 


a 

J 


+ 

-f- 

k_:_ 




VS. TcrppaLr 


# outs k!62, - 2* 


fo 2*2 vs. % 1 S’ 




VS. Overpatr 


# A A * 


S 1 ^ vs. 14 


vs. 


opei^ 

et^der 




shot 

vs. + 

overc&ro l 


# OU t£ 


&J- 22 


ft -52 vs. % 5O 


#outzA02.-10 


23 



VS. 70 



















































































* 





4 


vs. set 


# ou. ts44j^_ 4 

% 3 vs. % _vl 


vs. two Peter 


# owtsKCT - 22 


5 '0 vs. % 52 




VS. ToppciLr 


# outs ki6Z “ 3 


5 3 


VS. 7o 


7 



VS. DVfirpatr 


# onts>A/4 - 2 




vs. 


O'pet^v 

etA,der 




shfft 

VS. + 

CVC re arcl 




VS. 7o 


5" 


# OettS tg. J - S’ 

$ £ J 2 vs. $ jS 


# outs A62. “ 4 




vs. % 


9 























































































4 


9 

ft 

T 

. . 

. 4 . 

u 

. 4 . 

u 

. * , 



VS. overpaid 


# outs 33 - s 

t IS vs. % S2 



VS. Overpaid 


# outs _.9_9 - 2 


s 5 


vs 


,f Js; 



VS. DV&rpP.U 


# outs „5_9 - 2 


% 3s 


VS. TO 




VS. Overpfllr 




VS. OVfirpalr 



5 

4 


VS. overpaid 


# outs - 11 


25~ 


VS. To 


# D\A.t& 33 ' & 

^o_l4_ VS. 


# out*. 33j^ 14 

6S vs. 32 








































































* 



4 



4 



* 




VS. Nut Ft> 


# outs AT - (b 


% 14 vs. % 



VS. Nut FH 


# outs AT - 14 


&B. vs. % 32 



VS. Nut FH 


# outs AT- 11 


VS. o 


US 


/—* 

8 

7 

VS. Nut Ft> 


f - 

5 

r —n 

[5 

35jl 

VS. Nut FD 






L±j 



# outs AT - IS 


Jo bb vs. 34 


# outs AT - 14 


Jo &2. vs. % 32 












































































4 



4 - 


set 


#ou.tsTT- 1 


vs. 2 


r ' 

r—“■ 

K 

K 





vs. two Pmr 


# putts hi"T * O 


^_L00 vs. 0 




VS. Ov/fcrpalr 


# outs A A - 2 


? --^5 


VS. Jo 


VS. T>P + T.K- 




Opfi*o, eader 

VS. + 

F L us,h draw 




VS. 


Oft \A* 
tv^dtr 


# outs AK - O 


% ±00 vs. % o 


# outs J~g ' 13 

/O vs. 30 


# outs <£.'J - S’ 
S'2 vs. fo 1 S' 
















































































f -■> 

8 

[7] 

vs. 

set 

^ ^ 

lij 




# outsTT - 13 


[8] 

[7] 

vs. 

two PflLr 

4 

i - 





# outs KIT - 1-4 



# outs A A ~ 15” 


ff 3D vs. fo TO 


-\ 

8 

r ^ 




7 

V3. 

t.p.t.k.. 

4 

JL 





f 32 


# outS/AKw ~ 15" 


vs. fo &Q 


f> 3-f vs. fo_&£?_ 


^ * 

8 

r ^ 

7 

VS. 

-S 

c*> 

4 

JL 

tv^dtr 


# outs 62. J- 1? 


34 vs. ft 6>6> 


41 vs. f_53_ 










































































Pot LS: 100 

vlllatiA, bets: so 

3 : ± oiA/ the c-flll 

Pot Is: 100 

vlllcaiA/ bets: y-s 

2.33 : i oiA/ the call 



Pot Is: 100 

vIIIr'ua, bets: 20 

o : ± oiA/ the cflll 

Pot Is: 100 

vllUuiA/ bets: ioo 

2 : i oiA/ the call 



Pot Is: 40 

vttlaliA/ bets: 30 

2.33 : i oiA/ the call 

Pot Is: 5"5" 

vllUatA/ bets: 3 s 

2.5"7^ : 1 oiA/ the Cflll 














Pot Is: J-0 

villain, bets: oo 

4.5 : 1 on, the call 

Pot Is: 66 

villain, bets: 41 

2.61 :1 on, the call 



Pot Is: ^ 

villain, bets: 65 

2.32* : i on, the call 

Pot Is: 12 

villain, bets: 12 

2 :1 on, the call 



pot Is: 5 

villain, bets: ±o 

1.5 : i on, the call 

Pot Is: 366 

villain, bets: 125 

3.4 : 1 on, the call 












Pot Is: 

1 00 

Pot Is: 

±00 

VlllaliA, bets: 

50 

villaI ia, bets: 

J-S 

call Is fo 25 

of total 

call Is fo so 

of total 

pot Is: 

±00 

Pot Is: 

±00 

villain bets: 

2.0 

villa Iia, bets: 

±00 

ca ll Is f 14 of tota l 

Call Is fo 33 

of total 

Pot Is: 

4 0 

Pot Is: 

55 

villaI ia, bets: 

SO 

villam, bets: 

35 

ca ll Is f so 

of total 

call Is f 22 of total 












pot is: y~0 

Villain bets: 20 

call is ig of total 


Pot is: ^ 

villain bets: 65" 

call is Jo 30 of total 


Pot is: S' 

villain bets: 10 

call is ^ 4 o of total 


Pot is: £>£> 

villain bets: 41 

call is Jo 2 g of total 


Pot is: 12 

villain bets: 12 

call is ^ 33 of total 


Pot is: 300 

villain bets: 125 
call is ^ 23 of total 











r- 1 ■ ■> 

a 

y\ 

t - 

J 

M 

6 

JL 

r——> 

9 


t —i 

A 

/-- 

Q 

VS. 

t > 

10 

t - 

9 1 

l*J 

L±J 





# outs 5 


fo ±1 VS. fo 23 

1 : Z.o3 


t i 

a 

J 

f ^ 

K 

f i 

8 

f 

K 


f — 

A 

K 

vs. 

- 

1 

6 




.♦J 

4 

i_:_ j 


# outs ±0 


f 23 vs. fo J~J- 
1 : 3.35 


K 

r- ■ ■% 

A 

£ 

< 1 j 

t i 

4 

LL 

r i 

K 

, ♦, 


f -^ 

a 

4 

f > 

J 

<—£ 

VS. 

f -^ 

6 

♦ 

V_-_- 

7 

IL 


# outs 0 


f O vs. f> ~LOO 

1 . Co 



























































r-^ 

J 

.♦ J 

r i 

9 

♦ 

i 1 J 

f — ~i 

a 

r-n 

K 


r - 

9 

/-V 

10 

vs. 

f -1 

A 

c -^ 

a 

L?l 

Lfl 



4* 

v_:_, 


# on ts 3 


? J^3 vs. 7~ 
13.2_9 : 1 


r-^ 

3 

4 

l 1 j 

r 

8 

r- 1 

10 

,♦ J 

f 1 

10 


c - 

J 

r-^ 

J 

vs. 

f-> 

A 

f -\ 

K 

_J 

A 


[±J 



# ante X4 


% vs. 32 

2.13 : ± 


/-- 

4 

f i 

[J 

f i 

K 

F p 

2 



[♦J 

A 



f -n 

K 

/-\ 

fl 

vs. 

p* ^ 

4 

p 1 -" 

5 

Ijl 

L*J 



l*- 


# onts 5" 


fo^3_ VS. 11 

g.O_9 : 1 































































r 

7 

J 

^ 

J 

>J 

f i 

4 

Li 

r i 

A 


r-* 

J 

/-\ 

J 

VS. 

p*-i 

6 

/■-\ 

9 

i 

L±J 


A 

* 

^_i_■< 


# outs IQ 


% 23 vs. % y~y~ 

1 : 3.35 


/■ 'i 

6 

t 

6 

f * 

7 

C 1 

51 







s -> 

8 

f -'i 

9 

VS, 

-\ 

J 

? - 

J 

l±J 



LLI 

iJ 


# puts -f 


g 3 ± vs. g 


f —* 

6 

* 

k._:_i 

f -\ 

10 

M 

4 

Li 

2 


t ' 

10 

li 

f > 

J 

Li 

VS. 

r 'y 

4 

JL 

4 


# outs, O 


f 0 _0 _vs. fo ±00 

Oo 


± 0 . ±± : 1 


1 












































































































# outs. 15 


fo 34 vs. 

1 : l.J?4 


id 

.♦J 

t 1 

8 

r-* 

6 

±J 

f -"s 

a 

1*- 


/■ % 

fl 

A 

_;_j 

/ - Si 

J 

LL 

vs. 

f -' 

A 

>._^ 

r - -x 

a 

jt. 


# outs 


15 vs. 24- 
1 ; 5\25' 


t k 

8 

, ♦ J 

7 

♦ 

T\ 

LiJ 

f 1 

5 


r ^ 

K 

UL 

J 

l±J 

vs. 

r* ^ 

9 

s___/J 

V 


#Ol*t£ J 


20 vs. < jS_SjQ. 

1 : 4 



























































































































































r*-i 

A 

/-> 

7 

r- — 

2 

t \ 

6 


M 


L±. 

* 

L- ± -J 


r 

A 

K 

VS, 

r 1 

10 

F* 

8 

k + , 

l + J 


A 



# OutS -f 



# outs 7 L 


f—“’ 

6 

5 

C 1 

5 

10 


a 

V___ d 

4- J 

.♦j 

L ♦ 

L J 


~ n 

A 

r 

10 

vs. 

5 

9 

JL 



♦ 

i, __ _^ 

■Jl 


# outs ^ 



vs. ^ X£> 



10.11 : 1 


5 '. 25 ' : 1 


1 








































































































# OU ts 11 


fo 2J5 vs. 7^5^ 


1 



# outs 2 


5 vs. J^5~ 


1 


: ±3 


A 

/*-> 

18 

f —\ 

4 

p"-1 

4 


l + J 


. ♦ , 

A 

r \ 

J 

vs. 

^1 t 

8 


L±J 


JL'l 


# OUtS 2 


fo 3s vs. 5~ 


iJ 

























































































r j ^ 

8 

r -\ 

3 

ir 

V- > 

--\ 

Q 

i 4 

.___ j 

3 


j*'-* 

K 

/-> 

ffl 

vs. 

Y 

Z' 

10 


l*J 


4 

s_ t _> 

4 J 

\_ i _h 


# outs, 3 


r ^ 

10 

r-\ 

[8 

- -% 

3 

1* 1 

10 


♦ J 

k_ z _- 

l*J 

l±J 



r i 

J 

f - ^ 

8 

vs. 

r'-*i 

10 

f-* 

K 

li 

l±J 


* 

L A ' J 

L±J 


# <9K.tS O 


r -i 

7 

, ♦ . 

r-^ 

6 

4* 

i 1 J 

p i 

3 

! ♦ 

_^ 

2 


j--^ 

7 

LL 

f-> 

7 

*J 

vs. 

--V 

5 

f -- 

4 

LL 


# outs ±0 


%_RO_ vs. 2.0 



vs. 


g 23 vs. J~J~ 



3.35 













































































9 

[♦ J 

f ■ 

4 

if ^ 

6 

1 j 

3 

4 


r-\ 

6 

6 

vs. 

’a] 

KI 

4 

is- * —^ 

IL 


4 

^ 

4 

^_ k 


# outs g 


# outs ±0 


V 

4 

\___ 4 

iy 

k_/ 

* i 

6 

•J* 

-___> 

5 


f - 

A 

—> 

10 

vs. 

r ' 

6 

r- 

9 

jL, 

[ 4* J 


JL 

JL 


# outs 0 


X S’S VS. XS 1 




1 


g 23 vs. %° JJ: 


i 


3.35 


%o _0 _vs. X too 


1 


OC 



































































































































2 

/* - \ 

7 

1 + J 

f y 

5 

f 1 

8 


/■ - " 

6 

Lt- 

/-N 

8 

vs. 

1*-*1 

A 

A 

✓ - \ 

A 

Ijl 


# outs ZIQ 


fo 4 5_ vs. 55_ 

1 : 1.22 


r—”s 

3 

J 

f i 

7 

k + , 

r * 

K 

♦ 

k_^ 

4 


p > 

7 

Lil 

/-> 

7 

VS. 

-% 

A 

l±J 

f -i 

a 


# outs g 


£2 vs. lg 

4.-5 £ : 1 


r i 

4 

2 

Ol 

6 


t * 

k _;_> 

¥ J 




r - 

A 

-> 

A 

vs. 

" - ^ 

7 

8 

L±- 

L*J 



±, 


# outs y~ 


l^? vs. g4 

1 : S'. 25" 


























































































# outs, 13 


ft 30 vs. ft 
1 ■ 2.33 


r ' 

10 

A 

r t 

8 

r j 

2 


M 

. * J 


l*?*. 


|8' 

id 

VS. 

r ^ 

A 

K 




JL 

JL 


# outs g 


ft_22_ vs. ft XS* 

4.5'6> ; 1 


t i 

7 

/■ \ 
A 

F 1 

fl 

id 


l*J 

L *J 


y. 


r- 

K 

J 

VS. 

-’ 

8 

f - 

9 

L±_ 

^ 1 j 



. ♦ „ 


# DI/±£ g* 


ft g2 VS. ft lg 

4.5'£> : 1 












































































VlLUt l W Shoves: 4 100 
Pot Odds: 3.7s ; 1 

Fmalpot would be: _ 1.1 

Y our oflll would be % gi 
of the fi-Aftl pot, 

Owt£:lS^ 
e^wfcty g 33 

Return from pot:_ odrfs: 2.o.‘. : ± 


Opet^ finder 

+ 

Flush draw 

x Cflll 

[ ] Fold 


Pocket -pa ir 
below Tp 

call 

x Fold 


Return- from pot: 


Pot: 4100 

VHLfl la Sh o' V££; 4 30 

Pot Dddz: ~' ? : 1 

FLAflt pot would be:_ 

your tall wouLd be % _ 
of the -flwjjtl pot. 

Outs: 2 
Faulty g -* 

odds: 24 : i. 


c^ut shot 


Pot: 4120 

vlLLalAShoves: 4 SO 

Pot Odds: -:. r : 1 


Call 
x Fold 


Return from, pot: 


Flwalpot would be: _ - r: 

Your call would be % 2 1 
of the fi-Afll pot, 

C>utS: -4 
Faulty g 9 

odds: 1.0.11 ; i 


Flush dr^W 

x C-flll 

Fold 


Return from pot: 


Pot: 4120 

villa La sh o' ves: 4 SO 

Pot DddS: _0_: 1 

fLaaL pot would be: 1?_ 

Your call would be % •' 

of the ftAfll pot. 

outs: ^ 
Faulty g_^ 
Odds: 4 ; i_ 

































Pot: 42.00 

Flush draw vUlal* shoves: 4 <bO 

Pot odds: 4,33 : l 

FlaflL pot would bt: ~- :n 

v your cflLL would be % 1 3 

of tke flaiil pot. 

Pot: 4 55 

Pocket -potr vlllnlu Shoves: 4 35 " 
be Law TP Pot Odds: 25 ? : 1 

FlaAL pot would be: r25 

OfJ LL your oalL would be % 2 % 

of the flaill pot. 

Fold Outs: ^ 

Equity £ 2q_ 

Return from, pot: 4 : 1 

x Fold puts: 2 

equity g 4 

R_£tura from, pot: odds: -!4 : 1 



Optv\> £dvct£r pct: A±2S 

-)- vlUniu shoves: 4 ®)0 

FLusVi draw pc * odds: 23 9 :1 

Fla A L pot wo u L d be; ' 

H II Your c-^eLL would be % so 

of the flaiil pot. 

Pot: 4 

Flush draw vtllnlu shoves: 4 &O 

Pot Odds: : £ 

FlaflLpot would be: ^ 1 

C LL your sail would be % 

of tk£ flailL pot. 

Fold owtsis - 

Equity 33 

Retura from, pot: odds\ zloz. : ± 

0 Fold Outs: ^ 

Equity ^ 20 

Return from pot: odds' 4 : ± 






























Flush draw 



Return f YQY& ■pot; 


Pot: 42.00 

villain shoves: 4 50 

Pot OddS: 5_ _: 1 

Fmfllpot would bt: _2_ 

Your call, would be % i '• 
of the fUutl pot. 

outs: ^ 
Bqulttf f D _^_ 

odds: 4 : ± 


Pair Pct: 4 so 

-j- villain, Shovts.; $■ 40 

Flush draw Pc>t Dsleti: ; 1 

Fma L pot would be: _ 

your call would be % -.._ 

of the fbud pot. 

Outs: 14 

e^wfcty g 3Q 

RitLtw. -fyc*™. pot;_ odds'. ,33 : i 



























Pot: 4±gO 

vUIru*. Sl'io\/es: "40 

Pot Odds: 5.5 : 1 

FIia^L pet wouLd be: ^ / ~ 

your eflLL would be %_i . 

of the flvLflL pot, 

OutS; *4 
Bquity g ? 

Retu.rw-frenA.pett_^dds: !•:• _i : ± 


£}ut shot 

Call 
x Fold 


Pet: 4-400 

villain shoves: 42 £> 0 
Pet odds.: : i 

Ftw^lpet would be: _ 

y our call would be % ,3ft 
ef tke final pet. 

outs i 5 

%_ 33 

Return. from, pet:_ odds,: _y__<_ : ± 


open. tv^dtr 
+ 

Flw.sln oircrw 

x call 
□ Fold 


open 

ender 

call 
x Fold 

Return from pet: 


Pt*: 4300 

v'dlaiin. Sloovss: 4^-05 
Pet Odds:_: l 

Flnfllpot would be: ' : " ' ‘ 

your tall would be % g 
of tke final pot, 

Duts: S* 

Equity g i? 
odds: 4.S2 : ± 


Pet: 4-400 

VlllflLm ShoVfiS: 4 ~^0D 
Pet Odds.: _: i 

Ft m3l pot would be: . _ _ 

your cgLL would be % i ~ 
ef tke final pet. 

outs: 2 
Faulty % * 

Return from pet:_ odds: _: 1 


Pocket pair 
below TP 

call 

x Feld 






























^ „ Pot: 43D0 

opeiA, 

r villain Shoves: 4200 

£l\p( g y Pot c>i ^^ : 2 * 2 ^ : 1 

FtkvflL -pot would be: ' 

H D II Your ctf LL would be % so 

^ MU ' (jfthefMtpife 

<^W± shot Pot: 4320 

-)- VtliflUs ,SlnO'/£S: 4200 

Flush rirctw Pot oddS: X£ ’ 11 

Flvsjl l pot would be: 7 " 2r: 

v nn \ 1 Your call would be % 2 ^ 

^ WUV ofthef^tpot. 

x F0Lp( OutS: S 

equity g i7 

Return from, pot: odds.: 4.22 : l 

x] Fold outs; 13 

equity g 22 

Return from, pot: odds: 2.5 Y : 1 

Pot: 4 7^0 

Flush draw vUtal^ shoves: 4 ^0 

Pot Odds: : 1 

Fma L pot wo mid be: 1 ^ 

C Cl LL Y^t<^ call womld be a? 

of the flmftl pot. 

Pet: 4 ^0 

DVfirCfirrfs villain shoves: 4 4*0 

Pot Odd s: 3 . 2 S : 1 

Fuvfll pot would be: 

C Cl LL your oflll would be % 24 

of the flvLfll pot. 

X PoLpl OutS: ^ 

enmity g 2# 

Return. from, pot: odds: _4 _: i 

y - f^OLpl OutS: &> 

equity g 12 

Return from pot; odds: &.&3 : ± 































Nut 

x call 

□ Fold 

Return from, -pvt; 


Pot: 4 1 00 

viLlain shoots: ^ SO 
Pot Oddi; 2 : 1 

Filial pot would be; ■ 

Your cat L wpwlpl be % -:f 
of tke final pot. 

outs: i 2 

^ulty g ^ 
Oddi: Zl25 : i 


Pot: 4 45 

Vi. LUt In, 3 h OV£S : 4 20 

POt OdplS: - 1 : 1 

Ftma L pot would be; _ : _2 _ 

Your call wpuLd bt % ■ • ■■ 
of tke final pot. 

Outs: 

B qulty % $ 

Return from pot:_ Oddi; i-un : ± 


<s}ut skot 

call 

x Fold 


















r 

A 

f > 

2 

l*J 

f > 

J 

t > 

K 


r ^ 

A 

s_i_ / 

r A 

C 2 J ♦ 

VS. 

< > 

3 


Pot: 4 1 00 

ViIUuia, bets 4 £0 

Akviout^t behind 4 ^.00 
Pot Odds,: 2.25 : 1 

Filial pot would be: 2-&o 

your coll would be % 31 
of the fli/tal pot. 

Outs: is 
Faulty 27 
Odds: 2.7 : i 


Profit: ^ 10 Mgtleeup 437 

X call =ev Fold 


9 

/-\ 

10 

/-\ 

4 

/-\ 

6 

•F 

JL 


, 4 

1 - 


/-\ 

K 

/-- 

10 

vs. 

t > 

J 

e > 

a 

^4 , 

^ 4 „ 


•F 

•F 


Pot: 4 J -5 

villain bets 4 J-5 

A^uouiA,t behind 4 ^50 


Pot Odds: ^ _ : i 


Filial pot would be: 225 

Your call would be % 33 
of the -fmfll pot. 

Outs: 13 
equity 30 
Odds: 2,33 : 1 

Pr0"f!t: 

x call =^v Fold 











































r-> 

A 

UJ 

t -> 

A 

4 

j 

/-^ 

5 

[±J 

f -> 

3 

.*J 


f -^ 

r > 


-'l 

t -> 

A 

j 

VS. 

K 

a 

UJ 

__- 



M 


Pot: 4 

villain bet^ 4 30 

An^OW-i/vt b tklvuA 4 150 
Pot Odds: 2,75 : i 

Filial pot would be: " T 5 

Your call would be % 2 7 
of the fli^o L pot. 

Puts: g 

equity % ig 
Odds: 4.5 £> : 1 


Profit : 7 Mflte,eup: 43-ff 

x call =ev Fold 


4 


4 

L 1 J 

. 

V 7 

4 

^ 

4 J 


r ^ 

A 

r v 

Q 

vs. 

✓*- s 

K 

f - "i 

K 

M 

l*J 


j±J 

L5J 


Pot: 4 y-5 

villain bets 4 4S 

An 4 . 0 w.iAt behind 4 

Pot odds: 2,67 : i 


Fl^aL pot would be: 

Your call would be % 2.7 
of the fLwaL pot. 

Puts: 11 

equity % 2.5 

Odds: 3 _: l 

Profit: 5 - ! Mflfeewp: ^--*^ 

scan o=ev nFoid 

















































5 

Lr 


VS. 


Pet: 4 &Q 

vlLLati^ bets 4 ^O 

An^ow.i/vt b tinted 4 300 

Pet Odds.: 2_: ± 


f -" 

6 


Li- 


fio 

Ifio] 

♦ 

JIVJ 


[9] 

t - 1 

7 

► J 

1>J 

f ^ 

8 

nri 

* 

- J 

♦ 

1 i 


Fmal -pot weodd be: m i£Q 

Your call would be % 33 
of the ftiA -0 L pet. 

Outs: 11 

Smutty % 2.5 
Odds: _s _: 1 

Profit: ^ ‘ ^ Mflleeixpi ^ 4 -- 

ucuLt n=ev □Fold 


/"--\/-\ 


K 

10 

4 

K 


J 


M 

l*J 


f y 

K 

r- n 

a 

VS. 

A 

t -^ 

A 

UL 

. Vj 


♦J 

M 


Pet: 4 2-2-0 

villain bets 4 

Avuou-Wc behind 4 300 

Pet Odds,: 2/u 7 : 1 

Fi^eLpot would be: 2.50 

yeur call would be % 2 g 
of the filial pet. 

Outs: 2 

Equity 5 

Odds: i_9 : 1 


Profit : ^ ? Mfl feeup: 1102 

Cali =bv \x Fold 



































































■\ f -\ 

J 

f-> 

31 

A ♦ j 

L*J 



VS. 


r 

S 

/•“-*\ 

K 

4 

v_i_ / 

-A 


Pot: 4 20 

Villain, bets 4 
Awiouut behind 4 
Pot Odds: 2.25 : 1 


Ft^fll pot would be: Z '- L0 

your call would be % si 
of the fmfllpot. 

Outs: g 
Equity ig 
odds: 4.56 : 1 


Profit: +S?Mflfeeup: 4i23 

CflLl =ev DFold 


- N 

Q 

f-*i 

7 

f -^ 

7 



y 

M 

/ 

M 

/ 

HE* 

o 

V ___ J 


/ ^ 

7 

/*■ \ 

8 

vs. 

g 

t \ 

10 

L*J 



JL 



pot: 4 7^0 

Villa tw. bets 4 45 

An/u>uwt beklud 4 ^00 
Pot odds: 2,5^. : 1 


Flrua l pot would be: 1 ^° 

your call would be % 2g 
of the fulfil pot. 

Puts: is 
Equity % 34 

odds: 1._?4 : 1 


Profit: 4ia Mateeup:£_J_5 


call 


= 6 V 


Fold 
























































> 

0 

( - 

9 

VS. 

( -\ 

A 

/-\ 

10 


■ 

s_> 

■ 

s_> 


, * J 

•F 

v_ / 


Flush draw 


Combos 


.straight 

Pair 

+ 

£Ju± shat 


Cam.bas 



a. 9 

7 


Commas 


Caabas 




K9siK8s K7s K 65 Kfs K4s K3s K2s 


^■tQJsJjQTsj Q9s QSs Q7sJ[Qfaj[Q5s Q4s Q3s||Q2i 


j^J J8> 7J[^J|^J: »*, ^Jl^J 

|T9s|TSs T7»||T6»I|T5 s| : T 4* T3s|iT2s| 



9So |^Jj [ S7sj| S6s 1 1 S5s 84s 83sj|S2s j 

?6$ j [ 75s ll 74> 73> ][ 72> j 

1 860 [ ; 6o;^^65»] 64s 63sj[62sj 


198 combos tn preflop range 


0 % 


216% 


















































































































































































































































































































/- 

A 

f -^ 

6 

/- 

10 

f - ^ 

2 



[4, 

4 1 

V, ■ j 

4 

1 J 



r i 

9 

r "v 

9 

vs. 

f *\ 

A 

( \ 
K 


■ 

L_-j 

■ 


,__u 

,_. 


Fuwsti draw 



Combos 


Th ree of 
a tetrtd 



Co tv. bos. 


open. 

en.o(er 



Combos 


TWO PCI IK >f Combos 


*\ 



4 

L 1 j 

. ♦ . 

*?• 

J 

1*, 



c ^ 

r ^ 


/*■ > 

t i 


9 

9 

vs. 

K 

K 


■ 

^^ 

■ 


_. 



Full House 


Combos 


Three of 
a temd 


4 


Combos 


TWO PCU.K 



Combos 


Po&teet -pair 
below TP 


24 C£mb#£ 

















































L 



| KJo| QJo 








2o| K2o Q:d Ko 


AS* 

_, 


H 

•^JH 

KSi 

[K7sJ|Ki63| 

K5s 

K-d 

KS 

;K2s 

QSs 

Q7s| 

jQfallQg. 

Q4s 

Qjs| 

|Q2s 


J7s 

m II J5i 

J4s 


32s 

TS& 

|T7ji||T6i||t5j 

1_J [ _J1*_I 

T4j 

|T3*| 

T2s 


9 >'5 i 

9fe 

1 95s 

94s 

j 93s j1 92s 


i87sl 

\Ms\ 

S5s 

S4s 

35s S2s 

37* 

u 

[7fo.j 

75 j I 

74s 

73s I 
__■ 

112. 

S6o 

[76oj 

Ul 

|&5s 

&4s 

j 63 s | 

|62s 

35o 

“ fc 

■65o 

55 

54 s 

j53s|(52s 

34d 

' 4 °i 

54o f4o 

44 

43 s 

|42s 

33e 


1 63o | 

: S3o 

J3o 

[ 33 j 

32s 

32o 

\!2<f 

62o 

52o 

J 2o 

32o 

[22 


19S combos m preflop rar§e 


: 


0 *. 


21 




VS. 



4 


Combos 


Combos 


TWO pair 4g cwnbos 


IS’ 


(3Dmt3DS 















































































































r ^ 

4 

4 

r i 

4 

*£• 

^ 1 J 

r ^ 

10 

. *j 

r ^ 

5 

*f* 



r 1 

■ 

■ 

vs. 

j 

l±J 

r 1 

j 

LJ 



Full House 


Combos 


D\Jtr ptfur 



Combos 


Tcp pfltr X3 Combos 


Three of 
a teLnol 



combos 



/-\ 

J 

i», 

t \ 

8 

t -1 

J 

•J* 

J 

* 

4 

♦ J 



/ \ 

( 1 


f % 

! ■ 

-’ 



0 

0 

vs. 

A 

j 



m 

< _ j 

■ 

- 


LL 

UJ 



Full House 3 combos 


Dverpair ~j^5 combos 


FuLL House 

Three of 
a \zivid 


combos 



combos 











































/-\ 

3 

K 

f-\ 

A 

/-\ 

9 





4 

v_ i _ > 


/■-\ 

A 

/ \ 

J 

VS. 

f \ 

K 

/-\ 

a 

_L1 

A 


l V, 



Pot: 4 100 

villain shoves: 4 %0 

Pot Odds: 2 .2.5 : 1 


Filial pot would be: 

Your call would be % 31 
of the ftwfll pot. 

Outs: 14 
equity 32 

Odds: 2.13 : l 


Profit : t 3 

xCflll =ev Fold 


3 

v 



\ 

P7 



✓-^ r 

3 

3 

vs. 

K 

* 



. V ! 

Pot: 

4 100 


villain shoves: 4 %0 

Pot odds: 2.25 : 1 


Filial pot would be: 2&0 

your call would be % 31 
of the fmfllpot. 

Outs:__g_ 
equity ig 

Odds: 4.5£ : 1 

Profit : ^ ~ 34 

call =ev x Fold 










































/ \ 


t - \ 

3 

i*— 

] 

-"> 

E 

r > 

A 

r \ 

9 


.*J 

♦* 

_ 

1*. 

V-—-—^ 


A 

— 

] 

-n 

E 

VS. 

k 

-> 

fl 

•J* 

4* 

L J 


vj 

.vj 


Pot: 4 1 00 

vlilaivi shoves: 4 £0 

Pot odds: 2.25- : 1 


Filial pot would be: z&o 

Your call would be % 
of the -fmalpot. 

Outs: 

equity % 20 
odds: _: 1 

Profit : ;t_S^ 

Call =^v x Fold 























[AKsj (AQsj | AJs | |ATsj |A9sj[ASsj ^A7sj [A6sj ^A5 sj [ A4sj [A3sj | A2s j 

K7s |K6»||K5 j| K4s||K3s |K2s 

jlQTs I Q9s QSs Q7s||Q6s Q5s Q4s Q3s Q2s 

Jk /v> -A A A A ^ 

A 





198 combos m preflop range 




HHBDH 


_ 


_ 




or; 


21 . 6 % 


















































































































































































































































































































































































































































r t 

to* 

V-' 

/-\ 

K 

J 

r A 

<** 

s_> 

/-\ 

9 

V 1 V 


-> 

o 

-i 

r 

9 

vs. 

" "^\ 
K 

r-\ 

Q 1 

■ 

<■_> 

■ 


M 

J?J 



4 5 combos X _ 3_ Profit = 


set 


4 


Cowibos X 



Profit 


two Pair 


^ Combos X -2j Profit 


Cflll - £ v x Fold Total: 



































r— 1 

4 

r ^ 

3 

r i 

9 

f ^ 

3 


s 

l + J 

l±J 

vj 


f > 

A 

Y 

VS. 

a 

-\ 

Q 

±J 

4* 

V J 


v 1 d 

M 


Pot; 4 ±50 

villain 5 h Q\Jt £>: 4 20 

Pot Odds.: 2.gg : 1 


Ft^alpot would be: 310 

your call would be % 
of the flktflL pot. 

Oute: 3 a 

Equity ^3 

odds- o/5f : 1 


Profit : 

xC«ll =ev Fold 


\ / 








♦ 

L V 

* 

•F 1 



K 

— 

K 

vs. 

/ ^ 

a 

/-\ 

fa 

U*J 

JEJ 


v L J 

M 


Pot; 4 ISO 


vllUtlru shoves: 4 20 

Pot odds: ^gg : l 


Fl^Lpot would be: 

your call would be % 3& 
of the fmfll pot. 

Puts: s 

equity ^ 

odds: i_9 : i 

Profit : 

Call =sv x f old 












































/-* 



t -\ 

10 

10 

vs. 

a 

a 

* 

k V, 


♦ 

1 



Pot: 4 ISO 

Villain Shoves: 4 
Pot odds,: S.gg : 1 


¥i\AMi pot would be: 310 

Your call would be % 
of the fulfil pot. 

Quits: 

Equity ^ _Js 

odds: 0,05 : 1 

profit : ^ 214 

xjCflll =ev Fold 


3 



* 

L 7 

*_/ 

l*J 


'k' 

'9' 

JJ 

vs. 

/ s 

a 

4 

-_ i _^ 

/ - \ 

a 


Pot: 4 15 ^ 

villflUv Shoves: 4 So 
Pot Odds: 2,:?F : : 1 


FttA^Lpot would be: 31 -° 

Your call would be % 
of the filial pot. 

Quts: 3J? 

equity 23 
odd S: aiQ : 1 

Profit : ^ 1 -- 5 ' 

xC^LL =^v FoLpI 



















































K7s K6i K5 s K4s KJs K2s 


J^QJsjjQTsj Q9s- QSs |Q7sj Q6s jQ5s Q4 s jQ3s |Q2 s 



19S combos in preflop range 
























































































































































































































































































































































































































r 

4 

, . 

r > 

3 

, 

r -> 

9 

UL 

r \ 

3 

M 



f - 

0 

• 

0 

a 

VS. 

f ' y 

Q 

4 

1 j 

Y 

M 



fLw&Vi dmvj iLS* Combos ^ Profit — 


ovtYfair 


weaker 

cverpair 


Top pair 



Combos 



Combos 



Combos 


X 


X 


X 



Profit 


Profit 


Profit 


= - y-so 

= 114 0 

=■2-30-5 


x call 


— &V 



Total: 






































4 


[♦, 

4 

4 



/ \ 

K 

/ - \ 

9 

vs. 

/ - \ 

Q 

/ - \ 

IQ 

_LI 

4 


4 J 



Pot: 4 ±50 

villain shoves: 4 
Pot Odds.: 2 .gg : 1 


Filial pot would be: 310 

Y our call would be % 26 
of the filial pot. 

Outs: 3-9 
equity g_9 

Odds: gi2 : 1 

Profit : £i_2? 

xCflll =ev Fold 


4 

8 

t \ 

10 

t s 

2 

v, 

4 


HE* 

> 

9 

/ - \ 

j 

VS. 

/ - \ 

8 

*J 



4 * 

l x ^ 


10 



Pot: 4 ±J-0 

Vlllfltl/u Shoves: 4 120 
Pot odds: 2.42 : 1 


Filial pot would be: 41 ^ 

your call would be % ^3 
of the filial pot. 

Outs: 36 
B^uuty ^ g2 

odds: 0,22 : 1 

Profit : 4 21./ 

xCfllt =ev Fold 








































f > 

4 

/ > 

8 

10 

2 







\ 

10 

-> 

j 

vs. 

/— *\ 

8 

/-\ 

10 

M 

lil 


4 

4 

^ 1 j 


Pot: 4 ±J~0 

vlll aiui shoves: 4 120 

Pot Odds: 2.42 ; ± 


Filial pot would be: 4io 

your call would be % 2,9 
of the fHiA/fll pot. 

Outs: 4i 

equity J 3 

Odds: oog : l 


Profit : 

xCflll =ev Fold 


t \ 

4 

/-\ 

8 

^ > 

10 

r—> 

2 



4 

L- A -J 


. 4 , 


f m \ 

a 

/■ \ 

a 

VS. 

-\ 

8 

-\ 

10 


4 


l±J 

4 


Pot: 4 

villain shoves: 4 120 
Pot Odds: 2.42 : ± 


Filial pot would be: 4 10 

your call would be % 2-9 
of the filial pot. 

Outs: 2 
Equity 5 
Odds: jj : ± 

Profit : * ' 2. s 

call =ev x Fold 







































r\ m 



19 S comboi in pts-flop range 






_ 


0 *. 


21 . 6 % 










































































































































































































































































































































































































































opei/u 

tv^dtr 

Top p air 


overpnir 

set 


4 

i *J 

8 

♦ 

W.___H- 

10 

L 

2 


r-' 

0 

■ 

0 

a 

VS. 

s' 

l + . 

f > 

10 

+ 



& C-okviioos ^ 



Profit = 



10 Combos, X- 



Profit 



24 C0I/U.bos X Profit — 


2 


Cp^ubos X 


jg Profit 


x call 


= 5V 


Fold 


Total: 







































r-> 

O 

r-^ 

IrI 

r -> 

A 


Cm 

U 

M 

u 

U 

___ J 


'6' 

— 

A 

vs. 

— 

Q 

/ 

a 

4* 

L J 

4* 

L ^ J 


4* 

L A j 

4 


Pot: 4 140 

villa uv Shoves: 4 100 
Pot Odds,: 2,4 : 1 


Flu,aL pot would be: 

your call would be % 2? 
of the filial pot. 

Outs: Q 
6^ulty % o 
odds: oo : i 


Profit : +_ t£p 

Call x Fold 


\ r 


^-> 

0 

'-\ 

ft 

[7T 

r-\ 

A 


La 

4, 

u 

M 

u 

[♦J 

O 

4 

~ J 


' \ 

rr 

/ \ 

« 


-V 

A 

( - 

7 

7 

vs. 

Q 

fl 

id 

_ 1 


L±J 

1 ^ j 


Pot: 4 140 


villain shoves: 4 100 
Pot Odds: 2 .* : 1 

Flu-aL pot would be: 34-0 

Your call would be % 2 
of the filial pot. 

Outs: 42 

equity 3s 
odds: o.Q5~ : 1 

Profit : ^ 224 

x call =^v Fold 






















































\ /■ 








vs. 


Q 



Pot: 4 140 

vlllolw.skov/es: 4 loo 

Pot Odds: 2.4 ; l 


Flwcil pot would lot: 

Your coll would be 
of tke flu-dl pot. 

Outs: 2 

equity 5- 

odds: ±3 : i 

Profit : +_i £2 

call =ev x Fold 


r 


•F 

i^j 

l + J 

4 

l 1 4 


-\ 

A 

^ \ 
T T 


-\ 

A 

/ \ 

A 

A 

K 

VS. 

Q 

fl 




+. 



Pot: 4 140 

VlllflLi/t Shoves: 4 100 

Pot Odds: 2.4 : 1 

Filial pot would be: ^ 4 £ 

Youcr coll would be % 2,3 
of the fuual pot. 

Outs: 3g 
Faulty 

Odds: 0.16 : 1 


Profit : ^ 1 --^ 4 

xCall =ev Fold 





































A 




19S combos in preflop rang? 


_ 




' 


o% 


it .6% 













































































































































































































































































































































































































































































Mobster 


W taker 
Oxftr^mir 

overpfar 


Nixt 
No Pair 


(M 

l- 

r"-> 

6 

r-\ 

6 

oT 

*f* 


, _ > 

4 1 


f - s 

0 

t -' 

0 

vs. 

f ^ 

a 

fa] 

m 

L j 

m 

L 


•f* 

4 1 


2 Combos x X.0 Profit = 


30 combos X 2_24 Profit - 



Combos X 


'Profit = 



Combos X 


l_?4 


Profit — 


x Cflll =ev Fold Total 


- 2 oo 

GTO£) 

-.%? 4 

31D4 

2640 






























/ V 


2 


3 


♦ J 

♦ J 

L A 7 


— 

— 


J 

J 

VS. 

*K 

^ * . 


Pot: 




4 55 

vtUfltw, bets 4 25 

AntouiAt behind 4 3-20 

Pot Odds,: 3.2 : i 


Fit'UiLpot would be: :g5 

your call would be % 2-4 
of the fl^udpot. 

Puts: 14 

Faulty g 32 

odds: 2.13 : 1 


Profit : 4S Mflteeupr : ~ 

x call =ev Fold 


[81 

r- s 

2 

[31 

r -> 

7 


■>J 

♦ 

^—i— 7 

L*J 

♦ J 


r \ 

9 

7 \ 

8 

vs. 

r \ 

A 

/ \ 

7 

* 

^3 





Pot: 4 55 

VlLUiua, bets 4 25 

Ah/lduW t behind 4 ^20 

Pot Odds: 3.2 : 1 


FtvuaLpot would be: 105 

your call would be % 
of the fl^lpot. 

outs: 14 

^uity ^ 32 
odds: 2.13 : 1 


Profit: 4 & Mflteeup: 4 - iy 


X 


call 


— BV 


fold 

























































— 

3 

/ •> 

3 

. 

VS. 

A 

7 

l*J 

1*1 
V J 


L±J 

LJ 


’Pot: 4 55 

VLllflLt^ bets 4 zis 
Amount behlud 4 120 
Pot Odds: 3,2 ; i 

Flt^al pot would be 

Your coll would be 24 
of the filial pot. 

Puts: g 

Smutty ig 

Odds; 4 .S 6 : l 


Profit : £ Mflfeeup: 4 o/ 

X Call =ev Fold 


Sy 1 


8 

♦ 


2 

♦ 


3 

♦ 


7 

♦ 


7 

* 



vs. 


A 

♦ 



PDt: 


4 5 ^ 


Villain bets 4 25" 

AwiouWt behind 4 120 
Pot odds: 5.2 : ± 


Pi\A,al pot would be ■ _ '' 

your oa IL would be % 24 
of the filial pot. 

Puts: g 

Fruity ig 
Odds: 4.5 £■ : 1 

Profit: .L _ Makeups'_ 

xCflll =&v F old 

















































135 :ombos in preflop rane 


i 


o% 


21 . 6 % 



















































































































































































































































































































































































































































Dv/erpfl[.r 


Top pear 


set 


Two Pair 


8 

V 

r % 

2 

f ^ 

3 

Li_ 

r 1 

7 

.♦J 


r i 

9 

■ 

i' > 

9 

8 

VS. 

' \ 

A 

♦ 

r 

7 

s ^ J 



Com-bos X 



Profit — 


4 3 5 


b combos X XQ _ Profit - &0_ 


4 


Combos x 


1 5__ Profit = bQ 


2 


C-otubos X 



Pro fit = ^0 


Call =ev Fold 


TotfiL: 

































\ / 








vs. 




Pot: 4 

viii&u a, bets 4 y-s 

Anvoimt behind 4 y~5 
Pot Odds.: 3 , 0 ? : i 


Ftt^alpot would be: 3 ^o 

y our call would be % 33 
of the pot. 

Puts: 1 5 

Faulty 34 
odds: : 1 


Pro-fit : 42 Mflteeup: 4 - ^ 

x call =ev Fold 


r i 

3 

r ^ 

Q 

r 1 

5 

r 

J 


. 

tf-J 


M 


Y 

y' \ 

Q 

VS. 

a' 

k' 

LJ 

A 

V. 7 


4 1 

V. * 7 

L*J 


Pot: 4 %0 

vLLLr'ua. bets 4 

Amount beblud 4 y ~5 

Pot Odds: 3 dJ- ; i 

Fl^al pot would be; 33 - 

your coll would be % 33 
of the fmfll pot. 

outs: 10 

Fruity °g 23 

odds: 335 : 1 


Profit : : Mflfeeup: E" 

Call x=ev fold 


















































to 

f \ 

a 

t > 

5 

■> 


4 

lf ; 

4 

1 ^ 



/-\ 

/s 

f N 



/■ \ 

TT 

Si 

J 

VS. 

A 

K 


L_—_J 


L*J 

J*J 

Pot: 

4 *0 

Villa tru bets 4 7~5 


Amoun t behind 4 y~ 5 
Pot Odds,: 4 2 -PJ~ : ± 

Final pot would be: 230 

your call would be % 33 
of the -fmal pot. 

Outs: 11 
Equity ^ 2S 
Ootols: ^3 _ : 1 

Profit: 4- 1 £ M«teeup: 454 

x C-flll =sv Fold 


3 

/ - \ 

Q 

4 

v-±- J 

( \ 

5 

♦ 

^_ i _ 4 

J 

M 


/ - \ 

TT 

r \ 

T T 


f -\ 

/ \ 

TT 

K 

K 

vs. 

A 

K 




UJ 

L*J 


Pot: 4 £0 

Villain bets 4 7^ 
Avuount behind 4 7^5" 
Pot odds: ‘Sip? : 1 

Final pot would be: 230 

your call would be % 33 
of the final pot. 

Outs: 15 
equity g 34 

Odds: i ._?4 :1 


Profit: 4 s Mflteeup: 4~ 4 

xCflll D=ev Fold 

















































19S combos m preflop r 





























































































































































































































































































































































































































to 

t. 

a 

5 

J 

l ♦ , 

1 - 

4 1 

M 



r •> 

0 

f -' 

0 

VS. 

r- 

A 

K 


a 

L j 

m 

L J 


4 

4 1 


Top pair 



Combos X 


3£t Combos X 


two Pair 2 C-om.bos X 


£ _torsos x 

X call =ev 


25" Profit — 


O Profit — 

Profit - 

_25~ Profit — 
FoLc^ rotnl 







































Pot: 4 0*0 

villa u a, bets 4 4P 
behind 4 120 
Pot Odo (S: 233 : 1 

Fwualpot would be: - s o 

y our c&ll would be % so 
of the flv^al pot. 

outs: ig 

Bo\ui ty g 4x 
Odds: 1.44 : l 


Profit : Mflk£up: 4~ 2 4 

x call =bv Fold 


■V /■ 


t > 

6 

9 

r*-1 

r 

3 



l *J 

\ _/ 

l*J 


— 

— 


— 

— 


8 

VS. 

A 

7 

4* 

A 



_± 

Pot: 

4 &o 


ViLUuu, bets 4 45 “ 

ArttoM.i^t behind 4 120 

Pot Odds: 2.33 ; 1 


Filial pot would be: 1S ° 

your ooLI would be % 30 
of the fii/ual pot. 

Outs: ip 

Faulty g 23 
Pdds: 3 . 35 ' : 1 


Profit: ^ ~ 11 Makeup:^'-- 


x 


call 


= ev 


Fold 















































t \ 

6 

4 * 

^ ^ 

t \ 

9 

[♦J 

* . ni > 

5 

f y 

3 

♦ 

L - A - J 


f \ 

A 

/ > 

A 


f -\ 


9 

9 

VS. 

A 

7 

M 

nj 


i±j 



Pot: 4 &0 

villa iv^ bets 4 45 T 

Amount behind 4 3.20 
Pot Odds,: 2.33 : i 


Filial pot would be: 150 

Y our call would be % so 
of the filial pot. 


rr tc\*i t j> Cal 
KAt Irvwtr ? Cal 

Odds: 


Outs: 13 

S^uLty 30 

2.33 : 1 


Profit: Makeup: ^ 

xCatl =ev Fold 


r-^ 

6 

^ x ^ 

f - 

9 

[♦, 

r-^ 

5 

r-^ 

3 

4 


TT 

/-\ 

A 


/-> 

A 

< > 

K 

fl 

VS. 

A 

7 

.♦j 

l±. 


♦ 1 



Pot: 4 £0 

villain bets 4 4 £T 

AyvcoujA,t behind 4 3.20 
Pot Odds: 2.33 : i 


Filial pot would be: ±5 ° 

Your call would be % 30 
of the filial pot. 

Outs: 3g 
Faulty g£ 

Odds: a±6 : 1 


Profit: 4^4 Mateeup: 4~ 13 

xCall =ev Fold 








































































y 





A5s iA4s||A3siiA2sl 


IlKQs [KJs (KB iK9sj KSs K% 
1 L J v J \ L J 


K6si K5s K4s K3si 


QTs Q?i Q8i Q7i Q6s Q5s Q4; |Q3s Q2 s 

LI_ LI_ ) LI_ j LI_J L_I_j LI_LI_J LI_LI_J 



!9S combos in preflop ranee 


_ 


0% 


21 .6% 


h/" 



















































































































































































































































































































































































































































f > 

6 

Hh 

k_ * 

f -■> 

9 

. ♦ . 

f - N 

5 

♦ , 

s. _ j 

/- 

3 

[♦J 



•o 

'-1 

9 

■ 

VS. 

/ - 

A 

uu 

t \ 

7 

_tJ 



overpalr 

2 Combos ^ 

iLO Profit — 

oj~o 



iStrfli0ht 

3 Combos x 

20 Profit “ 

GO 

set 

0? combos x 

40 Profit = 

24 0 

I^Okvut/vfltred 

draw 

O combos X 

20 Profit ~ 

Fold Total: 

12(9 

o>3o 


X ll = ev 




































































































■* ' 

A 

Y 

Y 

L ♦ 

f i 

J 

Li. 



r- 

A 

Li- 

/—^ 

K 

LiJ 

VS. 

?- 1 

a 

4 

r t 

9 

4 j 

‘s_ t _ s 


# outs, 5 


f 0 83 vs. % l7 

4.88 : 1 


n- ~ MM ' 

7 

„ * , 

* i 

K 

Y 

r 1 * 

3 

Y 


f - 

A 

l_J 

r-■% 

K 

vs. 

-■'i 

7 

liJ 

i*-1 

8 


# outs 5 " 


82. vs. iLS 1 

■'f . 5 " £? * i. 


r 1 -> 

7 

/* "X 

7 

M 

f ^ 

10 


?-' 

7 

A 

-■> 

8 

LiJ 

vs. 

f -*1 

8 

JL 

f -\ 

9 


# outs 2 


%Jl 2_ vs. 2g 

2 . 5^7 : 1 
































































f-■> 

8 

i 

3 

[91 



l*J 

l*. 

t ♦ 



A 

A 

VS. 

8 

9 


, V, 


4 

i._—- -* 

4 

^_:_ * 


# OutS g 


f 2,9 vs. fo JjL 

i : 2.4 5 


Y 

.♦J 

7 

7 



'j' 

a 1 

vs. 

[Al 

k! 

L_^ 



4 

^_ z _ u 

4 

^___ j 


# cuts ±5 


f> 4g vs. -5T2 
1 ■ 1.02 


f — > 

J 

t \ 

7 

»"—i 

7 



l*. 

M 




7 

-\ 

8 

VS. 

a' 

K 

l ♦ . 

.♦J 


4 

%._. . j 

4 

t,_ Z _^ 


# outs g 


g 74 vs. g 26 

2 . 25 " : 1 
































































































,/-*v 

8 

[4, 

9 

l"-% 

2 

Ijl 



/•-\ 

A 

UL 

K 

_) 

vs. 

r-> 

7 

6' 


# ou ts :L4 


.5~ 1 vs. 4-9 
1.04 : 1 


/■-> 

5 

y) 

r*—™? 

10 

y. 

r p 

7 

J*J 


r 1 

a 

* 

1 1 > 

-" 

J 

VS, 

9| 

* 

^_/ 

f -1 

9 


# outs £> 


^_2^_ vs. y ~4 

1 : 2 .£ 5 ~ 


r-^ 

7 

f \ 

9 

5 



4, 

4 

v_£_> 

s*s 



f -^ 

7 

/ \ 

7 

vs. 

K-" 

9 

r -" 

9 


L*J 


A 

LtJ 


# outs 1 




























































\/ 




# 01 /CtS 2 


3'2- vs. S’ 


r- 

2 

f % 

5 

9 

JtJ 


A 

l_J 

-1 

2 

A 

vs. 

/-- \ 

6 

l_ 

r-1 

7 


# 0u.ts> ±0 


ft £*2 vs. 3S 1 


f-- 

9 

/ r -> 

a 

♦ 

^—\ 

A 


r -\ 

A 

A 

a 

*t* 

^_> 

vs. 

f* - ""1 

9 

f ->. 

9 


# cuts 4 


ft 21 vs. ftJ ^3 


±±.5 



±.6>3 






























































r*-^ 

K 

1*, 


7 

^b 



/ * 

K 

1 

K 

VS. 

p*-? 

9 

f- 

10 

^_:_- 

L±J 


jb 

A 


# OW*S 14 


ft &0 vs. ft 

±.S 


r j " 

6 

.*J 

A 

K 

A 


t -% 

6 

V*b 

-1 

7 

jb 

VS, 

-1 

a 

k *b 

r ' 

J 

A 


# outs 1 


ft ^t3 vs. ft 5 J~ 
1 : 1.33 


r* 

6 

M 

— 

A 

l*J 

' ' 

K 

.*b 


p*- 

6 

jb 

'- \ 

7 

vs. 

f 1 

A 

Jb 

r*- 

a 

jl 


# outs 14 


ft 43 VS. ft 5 J~ 

OJS , 1 


1 





















































































i n 

■* 

Q 

±u 

4* . 

J 

. 4 . 

. * . 



vs. 



# 


ou.ts.3T - 2 


fo 3& VS. 



VS. TWO PfllT 


# putts 


3t- 14 


fo_50_ vs. 50 




vs. 


Top pair 


# 0U.t£ 


Jr -14 


^3 vs. $ 47 




VS. 


WCfllW 

Ovcrpfllr 


A 

4 


K 

4 


vs. 


E>otou i/urted 
dKflW 




VS. 



# outs 62 . 62 , “ 1*4 


5~4 vs. 46> 


# 0 u±s 5 ~ 6 ?~ 6> 


gQ vs. 


vs. 3Q 







































































i n 

T 

Q 

i. U 

, 4- . 

J 

. 4- . 

*7 

, ♦ . 



VS. Straight 


# o uts K16Z- ~ 1 . 7 - 
Jo _3 5_ vs. &>5 



f l 

J 

J 


♦ 


171 

(71 

L±J 

LL 


T>HLr 

VS. + 

OpfilA. £|A,^£K 


# DU.t& 


gj-g 



VS. 7o 


25 ^ 




vs. FLusVl drflw 


# DLitS A 2 -g 


% fefe. vs. 34 


Op£iA, £ader 

VS. + 

Hush draw 




VS. TW£) Pair 


# outs A62-. "1-4 


% &Q vs. 4<9 


# ow.ts 


r^-o 




VS. 


pair 

+ 

£fWt shot 


.97 


vs. % 3 


# ontsTkS - 4 


g±L vs. 15~ 












































































T 

If 


J 

. ♦ . 

li 

♦ 

. * , 




vs. FLutSh drflw 


# outs S’ 3 ~ 3 



vs. % 33 



# ow.ts6Z.~T 


% 33 vs. f»_23 




VS. t shDt 


# outs 




g>2 


vs 


. lg 




vs. set 




VS. TWO PUIY 




# owts5j5_2_2 

fo 11 vs. ft S’3 


# OW.t£ KJ-13 


vs. 




VS. Tap ^alr 


# owt&K-6Z. -5" 


$ S6> vs. ft 20 








































































■* 

n 

i n 

o 

. 4 

H 

. ♦ , 

1U 



VS. Top ptfLK 


# outsK.62. -5 


ZL5 


VS. 7® 




vs. two "Pair 


f —i 

10 

f -N 

9 


4 

i ^ j 


# outs 62. T -O 


t (s_y__ vs. -V3 


vs. set 


# outs 62.62. '0 


J 


VS 


■ ft -^3 



vs. 


tv^dtr 




VS. overcante 




# 0W.t£ KJ - 13 
2? 6? vs. 44 


# ou.ts AK.-1 0 
^ ~ vs. ' • 1 


VS. OVfirpalr 


# outsKCK. -5" 


0-3 


















































































\s 


T 

Q 

A 

j 

, * . 

%y 

. * . 

A 

4 




vs. r.p.r.kL. 




f 4 5 vs. % 55 


r=—- 

f i 

A 

2 

JLI 




vs. CfUt shot 


# out<. hCGZ. ~ 3 

S '3 vs. 11 



vs. 


ope^ 

easier 


# outs'TS’ ~ 


vs. 20 


vs. set 


A 

+ 


2 


vs. twc Pair 




# outs _,9 

%o 30 VS. % To 


# 0U\S jj-i-f 

'S'O vs. ft -S'£> 


Pocket pflLr 
bfibw TP 


# outsi r -2 


fo J?3 


vs. fa 


y- 


•««*** 







































































Q 

R 


. 4 . 


U 




VS. overpair 


# puts <£L6Z- ~ 2 

$ -9 vs. _9i 



VS. 


Weaker 

overpair 


#outs '! I - Q. 

fo 3o vs. fo 10 m 




VS. Straight 


# outs y~% - o 

fo 3 vs. 



r ' 

— 


J 

J 



L±J 




vs. 


Lr 

+ 

^ut shot 




VS. overearoU 


vs. set 


# outs 3 S’ - _5 


# owts/\K. “O 



vs. % 33 



vs. b 


QJ5 


# 0w,ts£>£> - 2 


. VS, Q 










































































A 

n 

n 

u 

. 4 , 

u 

, 4- , 




vs. 


Three of 
& kivui 


# 


ou.tsG 2 .-J ~2 


^ -J VS. 



VS. Fw.lL House 


# - 4 


% i y~ vs. # g3 




vs. 


weaker 

werptflr 


# outs)<.f<L -2 


^ - J 2 vs. % S 




Pocket pair 
below TP 


A 

$ 


A 

♦ 


sip pflLr, 

VS. Np draw, 

< Aie 




VS. 


Nut 
NO Pair 


# 0IAt£ 


J J - 2 


# DIAtS 


k3 -O 


.-J 2 vs. ^ 


-Js* vs. ft 2 


# outsAhG- _ 2 


-Js* vs. % 2 













































































VS. Overpair 

# OW.t£ a3- ig 

vs. 3^ 



VS. Topper 


00 

fiol 

4 

h._:_/ 

l±- 


# cnxt£ AJ- lg 
£>3 vs. 3^~ 


vs. two Polk 


# ouk&7'3 ~14 


-50 vs. % 50 



fiol 

8 


4 

\_r_J 


vs. 





# outs 33 ~ 14 
4C> vs. 


VS. Nut FP 


# outs A K- _ 12 


40 vs. ^0 




vs. 


t 5 flpwiiA.aterf 

plrffw 


# outs 5" 2 - 


g-5~ vs. % 1A 


































































N 


■7 

i n 

Q 

vJ 

V 

±u 

4 . 

4 




vs. 



# outs 


<52, J -g 


°(o&3 vs. 31 




VS. 


Opca filler 
+ 

Flutsh draw 


# 


outs 62.J-1 5" 


^_4£_ vs. 5 2 






vs. 


Flush draw 


# outs A2 “15^ 


fo_&5— vs. 35 


r > 

10 

r > 

9 


4 , 


vs. 


ovcrpfllr 


10 

¥ 


9 

¥ 


vs. set 




vs. 


r.p.r.K. 


# outs 


JJ-13 


1 vs. 


# outs 33- 4 


^_2i_ vs. ^ 


# outs AT ~3 


vs. 14 





































































A 

5 

10 

v . 

+ 

4 




VS. Tpp-pfitLr 


# DU.t£ 


A J-2 


1A vs. 


VS. <Sjl4t shot 


# 0l/tts3'‘f - *4 


81 vs. ff l.j 




Pfl Ir 

VS. + 

FLusk drflw 


# 0W.t£ A S’ - 2 


S' 


vs 






vs. set 


# outs AS - 2 


11 vs. ft %3 




VS. Nut Ft> 


# outs A'*?' - 2 


5^ vs. ft. 3s 




Poe feet pplr 
bebw tp 


# outs 


JJ-2 


ft vs. ft S 







































































r* ^ 

u 

r* -^ 

K 

r -\ 

6 



i*j 

[♦J 

4* 

V J 



f - 

6 

6 

VS. 

r-\ 

A 

-\ 

9 


^ te 


4 1 

v 

♦ J 

V*_ t _ 


Pot: 4 3 O 

Vullfllw S ki OV£S: 4 SO 

Pot Odds: 1.6 : 1 


Plt-vaL pot would be: 130 

your call would be % sg 
of the flrval pot. 

Outs: g 

equity a? 
Odds: 3 ; 1 

Profit : 

Call = X Fold 


\ r 




-' 

j 

( - V 

2 

/-\ 

a 



vj 

l*J 

4 

" d 



j 

— 

a 

vs. 

f \ 

A 

f ^ 

K 

+J 

4v 


4 

_±_ j 

4 

^_ £—J 


Pot: 4 SS 

villa i IA, s h oves. : 4 4 0 

Pot odds ,: a.3g : 1 


Flt^wLpot would be: ■■ 35 

your call wouLd be % 30 
of the filial p ot. 

Outer 11 
Faulty 42 

Odds: 13 g : l 

Profit : ^ 16 

xCflll =ev Fold 






































f1 

2 
♦ J 

f > 

4 

l + J 

f '> 

9 
♦ J 


f \ 

J 

♦ 

___ J 

— 

J 

VS. 

o' 

•F j 

/ N 

a 

l*j 


Pot: 4 120 

villain shoves: 4 130 

Pot odds: 1 . ?5 : 1 


Flual pot would be: 3S0 

Your call would be % 34 
of tke filial pot. 

Outs: 42 

Equity % 9 a 

odds: q.0'5 :1 

Profit : £220 

xCalL =ev Fold 


*-\ 

4 

.♦J 

? - 

6 

-% 

l y 

/-V 

3 

♦ 

_£_y 


f \ 

/V 



/ \ 
E? 

f \ 

6 

A 

VS. 

5 

5 




sJ 

L±j 


Pot: 4 60 

Vlllfllw Skoves: 4 JO 

Pot Odds: 1.&? : 1 


plusl pot would be: 

Your call wouLd be % 38 
of tke ft wa l pot. 

Outs: Y 

Equity 23 

Odds: 3.3 ,5 : 1 


Profit : i_3f’ 

Call =ev x Fold 



















































6 

♦ 


5 

♦ 



-\ 

r" 




/ \ 

n 

5 

5 

vs. 

6 

7 


♦ 


Vj 

* 


Pot: 


4 1 50 


vlllaiu, shoves; -f ISO 
Pot odds,: a : i 


Filial pot would be: A - 0 

Your call would be % 33 
of the filial pot. 

outs: Y 
% as 

odds: 3.35 : 1 



Profit : £_S~ 

call =^v x Fold 


\ /' 




-> 

5 

t > 

J 

4 * 

V J 

r ■> 

K 

U*J 



K 

A 

4 * 

VS. 

-\ 

5 

vj 

f \ 

5 


Pot: 4 25 " 

vlllalw Shoves; 4 20 

Pot Odds: 2,2.5 • 1 


Fiwal pot would be: 

Your call would be ?£ 31 
of the flual pot. 

Outs: 35 
Faulty % & 3 
OddS: t>,45 : l 

Profit : $ DS 

xCfltl =ev Fold 


































5 


2 


- 


l J 


— 

10 

-' 

10 

vs. 

/* \ 

A 

-\ 

K 

♦ J 

l±J 


L±J 

l±J 


Pot: 4 J-5 

vllLatw. shoves: 4 1-00 
Pot Odds.: pT5_ : 1 

F'uvftl pot would be; 2 ' ?5 ' 

your call would be % -■& 
of the fli/uil pot. 

Puts: ±5 

Faulty 5-5 
odds: 0.22 : 1 


Profit : ^ ^ 

xCail =^v Fold 


-\ 

10 

-* 

10 

vs. 

r-\ 

a 

-\ 

J 

♦ 

IjL 


jeJ 

1*. 


pot: 4 120 

villa in* shoves: 4 ^ 

Pot Odds: 2.5 : 1 

Fiyudpot would bt : 

your call would be % 2 ..? 
of the fliA^l pot. 

Puts: 45 

Faulty % ^ 

odds: an : i 


Profit 

x call =ev Fold 










































f* -> 

5 

l + J 

/ V 

J 

M 

r "i 

6 

±> 


— 

— 


-\ 

-\ 

7 

8 

VS. 

K 

j 


V, 


_j 



Pot: 4 1 05 

villain shoves: 4 O 5 
Pot odds,: 2,11 : 1 

Filial pot would he: 

your call would be % 32 
of the ftual pot. 

Outs: 3^ 

Equity % fe3 
odds: QJ5$ ; 1 

Profit : ^ 

x call =zv Fold 


\ / 


k 

f -\ 

2 

? w \ 

7 

♦J 

_J 

JtJ 


— 

7 

* - > 

8 

VS. 

t - 

A 

'a 

s_/ 

^ , 


LjlJ 

♦ 

i_z_ 


A 


J 


Pot: 4 GO 

villaLw, shoves.: 4 So 

Pot Odds: 1 . 7-5 : 1 


PliA^al pot would be: 220 

Y^Ltr oall would be % 

&ftht filial pot. 

Outs: 13 

Odds: : 1 

Profit : ^ 

xCall =ev Fold 












































f -^ 

5 

s , 

f -1 

8 

M 

r-^ 

3 

UJ 



7 ' 

4- 

7' 

v. 

VS. 

/ ^ 

A 

UL 

-\ 

a 

*F 

^ 1 j 


Pot: 4 &0 

vitiate Shoves: 4 £>0 

Pot odds: 2 _: 1 


Flu-al pot would be: JSo 

Your call would be % 33 
o-f the filial pot. 

Puts: fc 
equity % 

odds: a.g^ : 1 

Profit : 4 -13 

Cali =sv x Fold 


^-N 

7 

. +. 

'-\ 

K 

. ♦ j 

/-\ 

4 

L*J 



r -\ 

A 

VI 

-\ 

A 

Um 

VS. 

-\ 

Q 

r- 

j 

±\ 


Pot: 4 55 

villain. shoves: 4 40 

Pot odds: S, 3 g : 1 


Fln-al pot would be: ' - ; 5 

your call wouLd be % 30 
of the flu-al pot. 

Outs: g 

Equity 33 
odds: 2.03 : 1 

Profit : ^ t 

xCflll =ev Feld 








































f-> 

4 

, + J 

* > 

2 

. ♦ , 

r-^ 

a 

LJ 


— 

— 


( \ 

f \ 

fl 

a 

VS, 

A 

3 

♦ 1 

1 + 

v / 


♦ 

♦ , 


Pot: 4 25T 

Villatw, <ShoV£S: 4 2£> 

Pot odds: u.25 : 1 


Filial pot would be: & 5 

Your call would be % si 
of the fual pot. 

Outs: ii 

Faulty 33 

Odds: 2.03 : 1 
Profit 

xCctll =^ v fold 


/-> 

6 

r-^ 

10 
♦ , 

r 

7 

J?J 


— 

r *\ 


r \ 

-\ 

n 

8 

L+J 

9 

VS. 

6 

L±J 

7 


Pot: 4 30 

vLLLai^ shoves: 4 40 

Pot Odds: 1- *5 : 1 


Fl^fll pot would be: 110 

Y our call would be %_s& 
of the flktfll pot. 

outs: 4 
Smutty % ig 
Odds: 4,5 £> : 1 


Profit : ^ ‘ 20 

Call =^v x Fold 






































/"-S/-S/-\ 


3 

5 

10 



J 

V x 7 

1*. 



' 5 ' 

A 

VS. 

/ \ 

J 

f ^ 

J 

JL 




1 * 


Pot: 4 5" 5" 

villfliw Shoves: 4 45 " 

Pot odds,: 2.22 ; l 

Plu-al pot would be: 145 

your call would be % 31 
of the fVal pot. 

Outs: 3 i? 

Equity % ?4 

Odds: q>. 35 ~ : l 

Profit : 4 62 

xCc^lL =ev Fold 


f y 

A 

r- 

8 

p- *1 

2 



l + J 

♦ , 

_J 



f \ 

K 

^ -J 

a" 

. v. 

VS. 

f > 

8 

J 

r \ 

7 

4 . , 

y 


Pot: 4 40 

villa iu shoves: 4 40 

Pot odds: 2 _ : 1 

Plu.al pot would be: 12c 

your call would be % 33 
of the fli/u?L pot. 

Outs: 13 

equity 44 

odds: 1.2? : l 


Profit : ^ *3 

xCflLL =ev Fold 











































** 27^ 

villalv* s hosts', 4 100 

Pot Odds: -' 1 5 : 1 

Fl&'vfllpot would be: * — J 

your calL would be 2, 
of the final pot. 

Outs If? 
Equity % &c 

Return from, pot:_ odds, 1 . o.frT ; ± 


o pe^ e^der 
+ 

Flixs-h draw 

x CflLL 

[ I Fold 


Pot: 4100 

villain shoves: 4 3 0 

Pot Odds: V r - r -' : i 

Flafll pot would be: 1 ■'• 

Your call would be %..j__ 
of the fUuil pot. 

Outs: 2 
Equity g £ 

Return from, pot:_ Odds: : !■-■ : 1 


Pocket pflt-r 
beLow tp* 

□ call 
x Fold 


Pet: 4120 

villain shoves: 4 So 
Pot Odds: : 1 

Fulfil pot would be: -" 

youb call would be % 2. 
of the final pot. 

OutS: -4 
Equity % i£- 

Odds: 5.25 ■ 1 


Pot: 4120 

Flush draw villaIn shoves: 4 30 

Pot Odds: 5 _: l 

Final pot would be: ^ 

your call would be % t 
of the final pot. 

□ F old Outs: ^ 

Equity 

Return from pot:_ Odds: l, j^g ; 1 



Ojut shot 

call 

x Fold 

Return from, pot: 






























FLusk draw 

4 Q_DD 

VlLUttrt,£lno\/££; 4 &0 

Pot Odds- ^33 : 1 

FtmAlpotWDuLd.be; 

Your cflLl wouLd be % ± ' : 
of the final pot. 

Pocket -pair 
below tp 

Fot: 4 55 

villa In s h oves ; 4 3 

Pot Odds: 2.5 ? : I 

Flna L pot would be: 125 

Your calL wouLd be % 
of the final pot. 

x call 

call 
■ | 

. Fold 

Outs: ^ 

x Fold 

Outs: 2 


Texture from pot: 


Uqyltft f_ s&_ 
odds,: ±y>£ : i 


Hietum. from pot: 


odds : 


Equity % 

±1.5 : l 


Oftv^ tv^dtr 
+ 

Flxsb draw 

x call 

Fold 

Return from pot: 


^125^ 

villain shoves: # 

Pot Odds: 2.3 ft : ± 

Final pot would be: l ' 

your call would be % >- 
of the filial pot. 

outsit 
equity % gtf 
odds: €>£>? : ± 


Flu&k draw 

x C-fllL 
Fold 


Return from pot: 


Pot: 4 

vlllalnShoves: 4 &0 

Pot Odds: -V g : i 

Fima L pot would be: ^ 

your call would be % >• 
of the filial pot. 

Outs: ^ 
Equity % 

Odds: i..Fg : i 



































Pot: 4 2.00 

villa'll*. Shoves: 4 50 
■ppt Odds,: -b_ _ : 1 

Fmfllpot Would b£: _____ 

Your call, wpuLd be % i " v 
of t\n.t fln.otL pot. 

Outs.: ^ 
Bqultij % 3& 

Return frovw pot;_ odds: __ ; 1 


Ftusk draw 


X 


call 

Fold 


pair prt: 4 50 

-f- Villa'll*. ShoVCS: 4 “40 

Hush draw vot od ^- 05 '■ 1 

Fulfil pot Would bft: _____ 

Your cqLI would be % 
of tint flvud pet. 

Outs: 14 

Equity % s& 
Return from, pot:_ odds: 3 ■_ 1 


x call 

_j Fold 




















Pot: 4±SO 

Villain Slip's: ^ 4 0 

Pot odds: 5.5 : 1 

Ftfc-val pot would be: 1 : ' 

Your tall would be % 1 5 
of the flvual pot. 

Outs: ^ 

Equity % ±& 

Return from, pot;_ jg-gT : 1 


<S|ut shot 

x Oft LI 

Fold 


O'pekv e^der 
+ 

Flush rirCiw 

x CflLL 
Fold 


Return from, pot: 


Pot: 4-^00 

villain shoves: ^25" 0 
Pot odds: g.* : 1 

Fi^flLpot would be: „ 

Your call would be fa :. : : 
of the flwfll pot. 

outs 1 5 
Faulty g .s,o 
odds: q,& 7 ~ : ± 


4300 

villa ifr'Shovts: 4i 2 5 

Pot Odds: ■=■■ ± : 1 

Ftufl L pot would be: __J_ 

Your efllL would be % 
of the flVLRl pot. 

Outs: £ 
equity % 

Return frDru pot:_odds: - .it : 1 


opeu 

euder 

x Cci LI 
Fold 


Pet: 44 DO 

villain shoots: $ iLQO 
Pot Odds: ''■ : 1 

FluoLpot would be: 

Your OflLL wouLd be % i ' 
of the final pot. 

Outs: 2 
Equity g g 

Return- from, pot:_ odds: ±u. ; ± 


Pocleet pair 
below tp 

Call 
x Fold 



































~ „ Pot: 43 DO 

Opt\As 

1 vlLLam shoves: $ 3.00 

t t-'W/i tY ^ Odds.-. Afe : 1 

Fuval pot would be: 

v H n\\ Your oflll would be % 22 

oftkefUaipot. 

tit shot P£ * : 4320 

-j- vlllAlu, Shoe's: 4 20£) 

Flush draw p ot odds,-. z& : ± 

Ft ia^a L pot would be: r -' 

v 0 Cl LL Y^wr call would be % 2% 

of the fulfil pot. 

FOLpl Outs: {? 

equity % sa 

R£tum from 'pot: odds: 2..±3 :1 

Fold OwtS:±3 

equity g 52 

f^gturu, from pot: odds: ojfcz : 1 

Pot; 4 y-o 

Flush draw vUi«U shoves: 4 40 

Pot Odds: ; i 

FUvfllpot would be: : ‘ ■ 

H D ! ! Your &AlL would be % 2? 

U4dUV of the pot. 

Pot; 3 ^0 

CV£FO$ villain Shoots: $ ^0 

Pot Odds: - : 25 : 1 

Flu. A L pot wo u L d be: 1 r ■' 

Z" 1 F 31 1 Your call would be % 24 

LslAM ^tkefUfllpot. 

PoLpt OutS: ^ 

equity g 3£, 

from, pot: odds: i/S ■ 1 

x OutS: G? 

Equity g 24 

f^tum. from pot: odds: 31 Y :± 































Nutt FP 


Pot: i OO 

v'MaiiA shoves: 4 50 

Pat O&dli 3_ : i 


x call 
Fold 


Return f YOYUL pot: 


Flvutlfotwould bt: _ . 

Your mil would be % y. r - 
&f the final ■pat. 

QUtSrl2 
equity ffi 4g 
odds,: ijQg ; i 


Pat: 4 45 

villain shoves 4 20 

“Pat odds: s,35 :1 

Fmalpot wowld be: . _ 

Ycutr call would be % 
of the fUud ■pat. 

Puts; 

Scpuk y g 16 
Return ’from. pat;_odds; ^ ^ ft * i. 


<^w.t shat 

Call 
x Fold 



















7 

♦ J 

A 

l ♦. 

Q 

♦, 

___ ^ 



a' 

Y 

VS. 

f \ 

K 

f \ 

Q 

tJ 



, ♦ - 



PDt; 4 IDO 

vLLL auA, s> ho\/es: 4 S' 0 
PDt Odds: 2.25 : 1 


Fmalpot would be: 2 £q 

your call would be % 21 
of the flkUiL pot. 

outs: _9 

Equity <g 44 

odds: 1,27 : 1 


Profit : ^ 

X call =^v Fold 


\ t 


f -\/-N/-\ 


7 
♦ . 

A 

w " - 

Q 

_ i _* 


— 




f 

7 

*J 

7 

A 

vs. 

-s 

♦ 

J 

r 

♦ £: 

Pot; 

4 ±oo 

vllLnLw. shoves: 4 So 

PDt Odds: 2.25 ; 1 

Fl^alpot would be: 


your call would be % 31 
of the fmal pot. 

Puts: 3 
Equity % 31 

odds: 2.23 : 1 


Profit : -t 0 

Call x=ev Fold 














































4 


/ \ 

A 

/-\ 

Q 

VS. 

f \ 

K 

/-\ 

a 

4* 

4- 


.♦J 



Pot: 4 ±00 

villain shoves: 4 %0 

Pot Odds: 2 , 2.5 : 1 


Filial pot would be: 260 

your call would be % 31 
of the filial pot. 

Outs: 12 

4 ■ 1 - 

Equity 3 s 
Odds: i.26 : 1 


Profit : * 10 

xCflll =ev Fold 


1 

7 
♦ , 

^ \ 

A 

.♦J 

/- \ 

a 

4 


> 

-\ 

A 


- \ 

TT 

/- 

8 

9 

vs. 

K 

0 




UL 



Pot: 4 100 

villain shoves: 4 20 

Pot Odds: 2.25 : 1 


Filial pot would be: 

Your call would be % 31 
of the -fmal pot. 

Outs: 44 

4 ■ ■ ii 

Equity ,3? 
odds: 0.03 :1 

Profit : ^ 1 ' 

xCflll =ev Fold 







































K miu . V A 


AJs J |ATs] |A9sj j ASsj ^Vsj [A6sj [A5 s j ^ A4s J ^A3 sj ^A2sj 

Ik3s iK:s 


lelaliaiH k?s 


K6s K5s 


Q9s Q8s Q7s Q6s Q5s Q4s Q3s Q2s 

. /L .A-A- ) 




19S combos tn preflop range 

— 


0 % 


21 . 6 % 



































































































































































































































































































































































































































































































Top pfllr 


set 


two "Pair 


D0kW,LIA,Glt£Ct 

draw 


7 

l ♦ . 

A 

. 

Q 

4 


r ' 

0 

■ 

L 

0 

■ 

vs. 

K 

_ 1 

Q 

♦ „ 




Combos ^ 



Profit = 



Combos X — Cl — Profit — 


3 


Combos, X 



Profit = 



4 


Combos, X 



o-flt = 



C-flU 


= EV 


Fold 


TotflL: 


































f \ 

v 

f 

1 

-\ 

r 

/-\ 

Q 



J\ 

0 

1 

i 

> 

4 

v_ i _ > 



/-\ 

K 

✓- 

J 

> 

vs. 

fol 

/-\ 

10 

l*. 

l*J 


Hh 

4 

v ^ 


Pot: 4 1 00 

villain, shoves: 4 
Pot Ootots: 2.2.5 : 1 


PLiA/fll pot would be: 

Your call would be % 31 
of the -fmfll pot. 

Outs: 40 
Faulty f 0 _i2_ 
odds: 0.22 : l 

Profit : i_i 33 

xCflll =ev Fold 


^ * 

K 

/-\ 

J 

♦ 

V- ± —J 

/-\ 

9 

♦ 

v 1 ^ 



✓ > 

K 

/" N 

K 

VS. 

/-\ 

Q 

/ -\ 

10 

M 



4 * 

L. x u 

4 * 

^ 1 -i 


Pot: 4 100 

vlllalw sbo\/es: 4 £0 

Pot Odds: 2,25 : 1 


Flwal pot would be: 

Your call would be % 31 
of the flwal pot. 

Outs: 2^ 
Faulty g2 
Odds: 0.22 : l 

Profit : ^ 133 

xCflll =ev Fold 





































< > 

ir 

< > 

T 

r-\ 

Q 



j\ 

A 

> 

♦ 

v . 



✓ > 

A 

< \ 

K 

VS. 

✓ \ 

fl 

/-\ 

10 


JL 


•F 

•F 

^ 1 ^ 


Pot: 4 1-00 

villain. Shoves: 4 20 

Pot Odds: 2.2.5 ; l 


Flwal pot would be: 

your call would be % 3 i 
of the flrval pot. 

Outs: 35 
Equity g.Q 

Odds: o.&7 : l 

Profit : ^ J '' 

xCflll =ev Fold 


ir 

/ - \ 

T 

( -A 

Q 



j\ 

A 

s7 

♦ 

»- 1 -/ 



< > 

A 

/ -> 

fl 

VS. 

/-\ 

a 

- A 

10 

_L 

♦ 

s. A -J 


•F 

^ 

•F 


Pot: 4 100 

villain, shoves: 4 20 

Pot Ddd£: 2 . 25 ~ : l 


Filial pot would be: 26 Q 

your call would be % 31 
of the filial pot. 

Outs: 32 
Faulty 

Odds: a/5 - : i 


Profit : •* 

xCflll =ev Fold 




































19S combos in preflop rang? 


_ 






0 * 


. $ 


216 % 






















































































































































































































































































































































































r-' 

K 

1 . 

/- 

J 

C 1 - 

✓-^ 

9 

l*J 



r-> 

0 

m 

L J 

r-> 

0 

■ 

l j 

VS. 

( - s 

Q 

io 



Two Pair 

Combos X 133 Profit 


set 

^ Combos X 133 Profit 


pair 

+ 

Flush draw 

3 Combos X 5 Profit 

±0 Combos x ^2_ Pro f Lt 

Nut 



=6>Z0 


X CM =EV F aid rotfll:3033 


























f 1 

9 

r-1 

3 

r-\ 

8 



4* 

l*. 




9 ] 

f -\ 

9 

vs. 

— 

Q 

/ \ 

Cl 

4 

s_ ± _> 

. . 


.♦J 

^ J 


Pot: 4 100 

villain shoves: 4 20 

Pot odds: 2 .2.5 : 1 


Flu-al pot would be: 2& 2 

your call would be % 31 
of the fIwfll pot. 

Outs: 2 

equity % 10 
odds-. j? ; 1 


Profit : ^ ~ 5 f 

□ Call = ^v X Fold 


f > 

9 

r- - 1 

3 

r -^ 

8 



4* 

V V 

[♦J 

l_L 



J1 

fid 

VS. 

/ \ 

ft 

-\ 

a 

4 1 

_ _j 

4 

L A j 


_ _ _ 

4* , 

v J 


Pot: 4 ^£0 

villain shoves: 4 go 

Pot Odds: 2,25' : 1 


FtywaL pot would be: 

your call would be % 31 
of the fLi/vol pot. 

Outs: 3^ 

equity % 

odds: o^f : 1 


x call 


Profit 
= BV 


4 10 J 


Fold 












































Pot: 4 1 00 

VU.Uav'v. shoves: 4 20 

Pot Odds: 3S15 : 1 


Filial pot would be: 

your call would be % 31 
of the filial pot. 

Outs: 13 

Equity 27 

Odds: 2.7 :1 

Profit ; 4 -IQ 

call =^v x Fold 


























198 combos in preflop ranee 


V//AVMBBnM 


0 * 


. * 


21 . 6 % 























































































































































































































































































































































































































































/■ > 

9 

„ + 

/-' 

3 

l*J 

f > 

8 

l*J 



0 

■ 

- 

0 

■ 

L j 

VS. 

'ft' 

l±J 

f y 

a 



set & C,Qm,bo£> X. _ 5 '_ 5 ' Pr&fit 



g Combos X XQ3_ Profit ~ 2^3, 

evader 


TWO pair 2 combos x ~ 10 Profit = ~ ZIP 


x oa LI — 5v 


Pold Total:^ 2.2 

























8 

r 1 

9 

8 





M 



\f 


VS. 

- s 

10 

— 

J 







Pot: 4 AS 

Villain bets 4 
Amlom iwit behind 4 ^20 

Pot Odds: 2,13 : l 


Flt^ftlpot would be: -2.5 

your coll would be % 32 
of the flktfll pot. 

Puts: 13 

equity a_9 
odds: 2.45 : 1 


Profit: Makeup: 4io 

SCall -tv Fold 


\ / 


-> 

8 

, 

( -\ 

9 

[♦J 

^- 1 

8 

M 


- y 

7 

f \ 

A 

VS. 

id 

— 

j 


4 1 




Pot: 

4 45T 


vlLLflUv bets 4 40 

Awouwt behind 4 3-20 
Pot Odds: 2.13 : i 

Filial pot would be: 1ZiS 

your call would be % 32 
of the fu/valpot. 

Outs: 13 

Faulty 2_9 
odds: 2 A 5 : 1 


Profit: ^ ^ Makeups_ 

x Call D=ev SFoLd 



















































r x ~y 

10 

r i 

3 

O) 

L ♦ 

l V, 



/■ V 

A 

id 

vs. 

7 

8 1 

A 

V J 

l *F 


M 

M 


Pot: 4 45" 

vLllatiA, bets 4 45T 

Am.oujn,t behind 4 30 

Pot odds: SJ3 : l 


pot would b£: 

Your &cjLL would be % 32 
of the fuA>^l pot. 

Outs: 13 

equity p 27 

odds: 2.7 : 1 


Profit : 4~ £> Mflfe£up: 4l^- 

xCalL D=ev Fold 


\ / 


-\ /-\ r -\ 


Q 

8 

.4. 

4 

4L 


— 

A 

— 

Q 

vs. 

V 

ioi 

+ J 

•F 1 

^ 4 


LJ 

t — 

< 

s_ 

Pot: 

4 so 


Villain, bets -4 25 

An^ouut behind 4 3-00 

Pot odds: : ± 


Hvvzl pot would be: 

your sail would be % si 
of the fln-otl pot. 

Puts: 3 

Faulty p 7 

odds: is,2_9 1 


Profit: 4 - 1 Mflte&up: 4^53 

C&LI □-0poLc?t 










































■fl 

■1 

Q 

/- \ 

10 



4 





t 

Q 

> 

< \ 

J 

vs. 

f y 

K 

t > 

J 


> 

/ 

♦ J 

^ x ^ 


A 

4 


Pot: 4 4 5 

villain bets 4 35 " 

Aw.oui'ut behlud 4 1 - 1-0 

Pot Odds: ?Sl3 : ± 

Filial pot would be: 115 

your call would be % so 
of the fii/v,alpot. 

Outs:__g_ 
Faulty ±g 

Odds: 4.56 : l 


Profit: 14 Makeup:4^4_ 

xCflll E=ev Fold 






* \ 

7 

/ - \ 

A 

VS. 

/ > 

8 

/ \ 

9 


. + , 





Pot: 4 35" 

villain bets 4 20 

A^uoui^t behind 4 1-50 

Pot Odds: 2.^5 : l 


F'u^al pot would be: ^ 5 

your call would be % 27 
of the filial pot. 


. acjflLKSt Lower f CdL 

Odds: 


Outs: ii 

Equity 24 

3.1? : l 


Profit : 2 Makeup: ^ 

xCflll =ev Fold 














































^ ■> 

n 

f s 

T 

r"- y 

Q 



u 

•F 

J 
♦ , 

,*j 



ffll 

— 

K 

vs. 

f \ 

A 

-> 

K 

♦ 

s___ 4 



•F 

•F 

L- 1 


Pot: 4 


viliaUfr bets 4 &0 

AkueuiAt behind 4 3~30 
Pot odds.: 5.33 : 1 

Fi^fllpot would be: ^oo 

Your oo LI would b t % so 
of the final pot. 

O'UtS: ~y~ 
Faulty p i5 
Odds: 5 : 1 


Profit: ^ Mflleeupi -f 1 ^ 0 


call =ev 


X 


Fold 


\ / 



Pot: 4 35^ 

Villain bets 4 30 

behind 4 3-1D 
Pot Odds: 5.y-5~ : 1 

FuwLpot would be: 

your ooLl would be % s 7 ~ 
of the fmalpot. 

Outs: 2 

Faulty 4 

odds: 24 : l 

Profit: Mflteeupi ^r 

C-otLL =ev x Fold 






















































8 

r 

/ - ^ 

2 




J 

l*J 



/' > 

J 

' a1 

vs. 

/ - \ 

9 

/ s 

10 

•F 

V. 7 

❖ J 

v ^ ^ 


l*J 



Pot: 4 

villa m bets 4 20 

Aw-oniA,t behind 4 ^20 
Pot odds: 2.25~ : ± 

HmL pot would be: 

Your call would be % si 
of the flutfrl pot. 

Puts: 1 5 

Equity 33 

Odds: a.P3 : 1 
Profit: 4i Mate;&up: 4~ 0 

x call =ev Fold 


O 

r ^ 

P 




O 

* 

O 

l vj 

u 

_) 



A 

a 

vs. 

-\ 

9 

— 

10 


Jfj 


•F 

^ 1 V 

•f* 

V 7 


Pot: 4 3 0 

ViLLflli/v bets 4 20 

Aw-ouwt behind 4 2 00 

Pot Odds: 2.S : ± 


Pmal pot would be: ^ 

your corLL would be %_ _2_9 
o-f the ftivaL "pot. 

Puts: 10 

22 

odds: 3.5 5 : 1 


Profit : 4~ -5 Mntegnp: 4l£ 

x call =ev Fold 



















































10 

A 

3 



4 

4 

JU 



V* \ 

7 

8 

VS. 

f *\ 

K 

K 

l*J 

4 

1 J 


4 

t 1 J 

JU 


Pot: 4 40 

v'dlaivi. bets 4 35" 

Amount behind 4 1-50 
Pot Odds: 2.14 : l 


PtiA.nl pot would, be: j j 2 

Y our tall would be % 35 
of the flu-oil pot. 

Outs: 7 

Equity 16 
Ootots: 5125 : 1 


Profit: * m nkaeup:4.?5 

x call =ev Fold 


K 

, 4 , 

10 

.vj 

K 

M 



— 

A 

K 

VS. 

f 'N 

7 

f \ 

8 

l±_ 

L±J 


lil 

l*J 


Pot: 4 35 

vtLLflm, bets 4 25" 

Ai'uouwt behind 4 
POt Odds; 2.4 : 1 


pLi/ual pot would be: ?.f 

Your call would be %_ 2.3 
of the flu-ol pot. 

Puts: g 

Smutty ig 

Odds: 4.56 : 1 


Profit: v 

x call =ev 


Mctteeup: 45; 

□ Fold 



































f - 

y 

r -\ 

Q 

f -\ 

R 



j\ 

O 

v- ± -J 

O 

4 

1 j 



— 

A 

_1 

^ \ 

K 

(±J 

vs. 

f \ 

6 

l*J 

— 

7 

liJ 


Pot; 4 55 


vlLUtm bets 4 -40 

behind 4 12 0 
Pot Odds: 2 . 3 g : 1 

Fl^al -pot would be; 135 

Your call would be % 30 
of the flu-al 'pot. 

Puts: g 

Faulty ig 

Odds: 4.56:1 


Profit : ^ ~ Mflte&up: ^ 71 s 

x call =^v Fold 


\ /* 


3 

♦ 



1 S 

f -*< 

A 

O 
•F J 

A 

,V, 

— 

K 

VS. 

l 4 , 





Pot: 4 30 

villain, bets 4 2D 

Am-ouut behind 4 HO 

Pot Odds: 2,5~ : 1 

Fl^fllpot would be; 

your tall would be % 2 .3 
of the fw*al pot, 

outs: y- 

6qmty Yo 16 
odds: 5\25 : 1 


Profit: ___ Mateeup::. 

SCR LI C=ev □ Fold 










































\ / 



f \ 

9 

f > 

10 


IVI 


Pot; 4 10 

ViLlaivi bets 4 10 

Amount bthivui 4 HO 

Pot odds: 2.5~ : ± 


pot would bt\ 

your tall would be %_ *2.3 
of the fu^uiL pot. 

Puts: 3 

Equity 20 

odds: 4 : 1 


Profit : 4 £ Makeup: 4^4 

x call D=ev n Fold 


t 1 ^ 

4 

,*J 

r ■> 

Q 

^- *1 

3 

A 


r n 

Q 

l±J 

-- 

Q 

, * 

v * -/ 

VS. 

f V 

A 

UL 

2 

l±J 


Pot: 4 4 0 

villa ua, bets 4 2D 

AfttouvU: behind 4 2DD 

Pot Odds: --A : ± 

Fl^al pot would be; 4o 

your Gall would be % ^4 
of the flwal pot. 

Outs: 11 , 

equity 24 

Odds: s.iT 1 : 1 


Profit: ...l_ Makeup;: 

xCdlL =ev Fold 














































f -"1 

8 

, + J 

f -> 

2 

M 

*- 

8 

._ 




— 


— 

— 

A 

8 

VS. 

9 

9 


Pot: 4 2 5 

villa Lia, bets 4 20 

Avuou:vit b&hli^d 4 3-10 

Pot Odds: 2.25 :1 

Fl^aL pot would be: £- 5 ~ 

y our c &LI would be % si 
of the fmalpot. 

Puts: 2 

Equity g 4 

Odds: 24 : l 


Profit: $ t- Mflte£up:4432 

Call D~ ev 0 Fold 


/—— 

A 

L± 

r 

L± 

Pot: 4 OO 

vlllaliA, bets 4 35" 

Amount behind 4 85 

Pot odd S: 2.^1 : 1 

Flwfll pot would b£; lzCl 

Y ou.Y tali would be % 2 Y 
of the flwfllpot. 

outs: g 

equity % 18 

odds: +.56 : 1 




K 


Profit: Mflte£up: 4^-5 

xCall =ev fold 










































/" N 

4 

l*. 

t > 

5 

4» 

r 

6 



/ > 

T 

-\ 

T 


-> 

'-\ 

A 

J 

J 

VS. 

6 

8 

l*J 

LU 


.♦j 

liJ 


Pot: 4 2 5 

villain, bets 4 15- 

Amount behind 4 1-00 

Pot Odds.: 2,67 : l 

Filial pot would be: 55 

Your call would be % 27 
of the pot. 

Outs: 7 

Equity 2s 
Odds: 4 : 1 


Profit: 4 Makeup : 4 i£ 

xCflLL =^v Fold 


r \ 

2 

r i 

4 

JJ 

/-\ 

9 

♦ 

^ x ^ 


-\ 

9 

LL 

/-\ 

J 

VS. 

/■ > 

8 

f \ 

8 

♦ 

^- —V 


Pot: 4 3 S' 

villa Iia, bets 4 2S 
Awiouia, t behlud 4 1-50 

Pot Odds: 2.75 : ± 

Filial pot would be: " 5 

your call would be % 27 
of the flkunl pot. 

Outs: 2 
Equity 4 

Odds: 24 : l 

Profit : ^ " 1 r Makeup ; +AO£ 

□ Call [ =ev x Fold 































































t -^ 

K 

r \ 

a 

r-\ 

4 

L±J 

L±J 

l*j 


-\ 

K 

f \ 

a 

vs. 

r v 

j 

-s 

10 

L 

* 


LiJ 

_1 


Pot: 4 d& 

villain bets 4 

AmouWt bekm-d 4 *3-50 

Pot Odds: 2.13 : 1 


Ft^otl pot would be: --.so 

your mil would be % 32 
of-the filial pot. 

Puts: g 

Faulty ig 
Odds: 45Q> : 1 


Profit : 3.5 M.Cfte£wp;4l^S 

x Call H=ev [ Fold 



Pot: 4 55 

villain bets * 45" 

Amouut beklud 4 300 
Pot Odds: 2.22 ; i 


Fiw.fll pot would be: 145 

your ogtLI would be % 3J 
of the l pot. 

puts: 14 
Faulty si 
Odds: 2,23 : 1 

Profit : _Makeup_ 

x call =ev Fold 














































v / 







vs. 




pot; 4 y-o 

vlllnliA. bets 4 55 

Awuw-t beklw-d 4 HO 
Pot odds: 2.2Y : 1 


Ftw,al -pot would bo: lg ° 

Your call would be % 31 
of the ftw.nl pot. 

Outs: & 

equity 13 

odds: : 1 


Profit: ^ 3 -^ Mnteettp: ^3i4 

xCfllt =ev Fold 




[ 10 ] 

f 1 

8 

r 1 

2 

A 


♦ 

<,_:_ 


\ 

A 

f * 

10 

VS. 

[9' 

— 

10 

♦ J 

l*. 


JL 

M 


Pot; 4 SS 


villain bets 4 
Amount behind 4 


Pot Odds: 2.42 : 1 

Flt^al pot would be; 

your call would be % 
of the fiv^ul pot. 

QD5 

2.9 

OutS: 

3 

equity ^ 

T 

odds: 13.2.?' 1 


Profit M«leeup:4& -9s 

OotLL =ev 

x Fold 


















































\ r 


a' 

vj 

- > 

J 

♦ J 

r -■> 

7 

3J 



a' 

— 

3 

V 3 . 

— 

8 

^ \ 

9 


JL 





Pot: 4 £>0 

vILUuia, bets 4 40 

An^ouvit behind 4 3.2*0 

Pot Odds,: 2.33 : l 


Fl^alpot would be: - 5 ° 

y our coll would be % so 
of tbe fmfllpot. 

Puts: 4 

equity g 3 

odds: 10.11 : 1 


Profit : 4- 32 Makeup: 4324 

CrLI x Fold 


f^ 

A 

M 

f -> 

J 

l *■) 

r-■> 

7 

l*J 


A 

— 

J 

k. .J 

V 3 . 

— 

8 

^ *4 

9 


Pot: 4 &0 

villain bets 4 4£T 

Av^ou.v ^t behind 4 3.2*0 

Pot Odds.: 2.33 : i 

Fit^olpot would be 

Your coll would be % so 
of the fiMl pot. 

OutS: 4 

Squ&Lj f 0 _3_ 

odds: mil: 1 


Profit: 4 - 32- Mfl tee up; 43 2 4 

PotLL — 6v x Fold 



















































Pot: 4 

villa Lia. bets 4 45T 

Aw-oww-t beluw-d 4 18Q 

Pot Odds: 2,33 : X 

pl^flL pot would be 

your Gflll would be %■ so 
of the pot. 

outs: 4 
equity .3 

odds: mil : x 

Profit : 4 ~ 3l Makeup : 4324 

Co, LL = ev x Fold 


^-1 

A 

r - - i 

J 

r - > 

7 



,vj 

♦ 

w-J 




k 

’a' 

vs. 

8 

V 

♦ 

_ / 

* >, 


♦J 

_ / 


Pot: 4 &O 

villa Lur bets 45" 

Aw.ou.vvt behind 4 ^§*0 
Pot odds: 2.33 : x 

rt^cd pot would be: 150 

Your aft LI would be % so 
of the fmal pot* 

QutS: & 

equity g _9 

Odds: lp.ll : X 

Profit: 4- 3 :? Makeup: 43X4 

Qull —bv x Fold 



















































I_j x [AQj 



au^jNfc QSi Q_i Qf; q: - q?s q;s 


T4s T3s iT2s 



198 combos in preflop ranee 


0% 


21 . 6 % 
























































































































































































































































































































































r ^ 

A 

.*J 

f -> 

J 

1 ♦ J 

L J 

r* 'l 

7 



r i 

0 

■ 

r 1 

0 

■ 

VS. 

-> 

8 

^L> 

-> 

g 




\G? combos X j 4-U.. Return 



TWO pair 11 Cototbps 


X 



Estimated 

Return 




9 


Cotubos X 



Estimated 
RftRHA, = 



nwt ^kot on - uln e£t ^ fltec( _~± 0.00 

C 1 UZ snD1: 30 c-tmbos X -lLO Return - -- 


call 


=tv 


X 


Pold 


Total: 


-1 2Q.0 

































t > 

9 

* 

k- ± -/ 

t y 

J 

l *J 

r—-■> 

6 

.vj 


y 

4- J 

A 

jt. 

VS. 

V 

V 


Pot: 4 &0 

villain bets 4 

beiiLw.pl 4 200 

Pot odds: 2 . 2 s : i 

FuuaLpot would be: 210 

your coll would be % si 
of the fivtitl pot. 

Puts: g 

t£\uX ty ig 

odds: A 5 & : i 

Profit: ^~ 2 / Mflhseup. 4i23 

Call x=ev Fold 


r "• 

Q 

r ^ 

1 T 

r -'i 

A 



J7 

4 

J 

u 

,vj 



fio 

f > 

a 

VS. 

— 

7 

f 81 


1 4 

V * J 


liJ 

4 1 

v A J 


Pot: 4 %0 

villa li/u bets 4 ^5" 

Amount behind 4 200 
pot Odds: 2.23 : ± 


Fi\A,ttl pot would be; 2io 

Your call would be % si 
of the filial pot. 

Outs: io 
equity 22 

odds; 3.55 : 1 
Profit : ; _ . _ Mflteeup:4^_ 

C$11 Cbev BFoLd 







































z' \ 

Q 

/-\ 

T 

r i 

ft 



4 

L- ± - J 

J 

U 



t s 

A 

< \ 

K 

VS. 

/-\ 

7 

✓ \ 

8 

M 

M 


l*J 

. ♦ J 


Pot: 4 £0 

villain bets 4 05 

Av^ouWc behind 4 200 
Pot Odds,: 223 : ± 


Filial pot would be: 210 

your call would be % 31 
of the filial pot. 

Outs: ip 

equity 22 

ootols: 3.55 : 1 
Profit: •$' 1 ^ Mflteeup: 4 £ * 

call i =bv x Fold 


/-\ 

9 

♦ 

v_ i _/ 


Pot: 4 %0 

villain bets 4 

Awiouut behlud 4 200 

Pot odds: 223 : 1 

Flv^al pot would be: 210 

your call would be % si 
of the fl^l pot. 

OutS:^_g_ 
Equity ig 

Odds: 4 .5<b : 1 



J 

6 



*J 




> 

6 

VS. 

f > 

7 

/ - \ 

8 

♦ J 


l*J 

4 

V x V 


Profit: $ ~ - " Mflteeup: 4i23 

xCall =ev Fold 














































A4o 


K 4 o 


A3o 


K3o 



54s ! 53s 52 s 


43s -3 e 


33 1 32s 


A2o 


K2o 


Q2o 


J2o 


T2c 


£oj[S2o 


72o 


■62 o 


52o 


42o 






19S combos m pfdlop ranEe 


_ 
































































































































































































































































































































































































































/-\ 

Q 

r-' 

T 

( -\ 

R 



J7 

4 

V_i_ d 

J 

l*J 

U 

l*J 



f s 

9 

/-> 

9 

VS. 

-\ 

7 

/** 

8 

■ 

a 

s_ 





Top pair 

21 Combos ^ 15" 


open 

ender 

V" Centos X 2iO 


Nut Fr> 

Com, bos X 20 

Combos X 

set 




Return 


Estimated 

Return, 


Estimated 

R^twriA, 


x call 


— &V 


Fold 


Total: 


315 

-140 

- lgQ 

135" 

130 
































f 'I 

5 

t 

G 

■> 

r"- > 

2 



.*J 

•f* . 




? V 

A 

[o 

> 

VS. 

— 

A 

r* > 

K 


♦ , 


a 

l. -j 



Pot: 4 d& 

Villain bets 4 Bo 

Am,ouat behii/vd ^^LSS 
Pot Ooids: 2.13 : 1 


Fulfil pot would be . 

your call would be % 32 
of ttie filial pot. 

Outs: 12 

Faulty 2.7 
odds: 2,7 : 1 


Profit : 4- 13 Mfltemp: 43^ 

xi call n=ev nFoid 


f 1 

5 

p i 

Q 

r i 

2 



,vj 

*f* J 




[k! 

f -\ 

K 

VS. 

— 

A 

f -\ 

K 

ID 

_J 


l±J 

JU 


Pot: 4 

ViLLawa, bets 4 BO 
Ai'vtouut behind 4 ^55 
pot odds: 2 j 3 : ± 


Ft^Lpot would bt\ ^ 50 

your call would be % 32 
of the fmal pot. 

Outs: 12 

Fruity p 27 

Odds: 2.7 : i 


Profit: 4- 13 Makeup: 435 

x call =ev Fold 














































r-> 

5 

y. 

-> 

a 

2 ' 

±. 


f > 



'-' 


5 

5 

VS. 

A 

K 


_±j 


a 



Pat: 4 JO 

villa Iia, bets 4 so 
Avuouw ,t behind 4 155 
Pot Odds: 2.13 : ± 

Flt^al pat waulal be: 25 o 

Your call would be % 32 
of the filial pat. 

Outs: g 
Faulty ig 

oalats: 4.S& : 1 
Profit: ^ 3S Makeup 

call x=ev Fold 


' > 

/ > 

T 




J 

J 

VS. 

A 

K 


y. 





Pat: 4 Jo 

villain bets 4 22 

Awiauut behind 4 155 

Pot Ddds>: 2.13 : 1 

Filial pat waulal be: 250 

Y our call waulal be % 32 
of the filial pat. 

Outs: 15 
_ ,, 

31 

Odds: 2.23 : l 


Profit: 3 Maleeup 4 r 

x Cftll =bv Fold 






















































KTsJjK95| KSs K 7 s 


K 6 s IK 5 s E 4 s 




k J|Q' T& J[Q J jl^J |Q 3s j [Q?*| [Qfaj [Q 5 sj |Q 4 sj |Q 3 sj [Q 2 s 



J 5 s 


J 4 s 


J 3 s 


J2s 


I.B 

TSs 

ITS 

L -J 

T 6 s 

-—J 

15 s 

T 4 s 

V J 

T 3 s 

T 2 s 

y, 

19 So 

i“il 

97 s 

96 s 

v J 

95 s 

94 s 

H 

92 s 

^J[S 7 sj 

S 6 s 

S 5 s 

V - j 

S 4 s|| 

S 3 s 

82 s 


p. ; 


55 54 s 


L 


54 o 


44 


43 s 


U 2 , 


S 3 c 7 3 o 63 o 


53 o 


52 o 


43 o 


42 o 


33 | 32 s 


32 o 


T 1 


193 combos m pteflop range 




■■Hi 





































































































































































































































































































































































































































rwi 



f -\ 

5 

l*J 

/-\ 

a 

. . 

/- 

2 



r ^ 

O- 

i> 

r 1 > 

0 

m 

^ y 

VS. 

/-\ 

A 

l±J 

r i 

K 



.. ^ 


Top pair 


24 


Combos 



Estimated 

Return 


= 4£0 


r 

k. 


overpaid 



Cow,bos 



Estimated 

Return 


= 120 


r 


set 



C-cmbos 



Estimated 

Return, 



Pocteet pair 
below tp 



Com-bos 



Estimated 

ReturiA, 



x Call =ev Fold Totfll : &&&_ 








































f \ 

9 

\ 

-> 

2 


✓-\ 

3 

-\ 

l*J 

LLI 

l*J 


LU 

^- j 



Pot: vtLLaliA. bets $30 tnto $50 
$±50 staetes before ijou call 
viLain will call with jj or better 


Equity wbien called: ^_ IS 


Loss when called: °)0 

“ 

wlvi when foIded to:_ so 

Required foldlnq % to create even: 53 







































io 

id 

_ j 





* 


9 J 




SK 


¥ 


8 


✓V. 


Pot: villa m bets 4^5 l\A.to$30 
$■±50 stacks 

Vllalw. will ooill with top pair or better, 
two overs awd a flu.sh draw or better 


Equity whew. called: ^_ 35 _ 


Loss whew, called: 35 


Wiw, whew, folded to 


,5,5 


RLec[ wired foldlw .0 % to breaks evew.:_ 3°} 


































J 

10 

f A 

3 

r "v 

4 


L*J 

4 

1 J 

l vj 

UJ 

i ^ 


j' 

id 


. . 


P£)t: 4 ±±0 
4 50 Stfl&tes 

ViUfiin, will call with top pair or bitter 


Bc^u Ituj win£ in. called: ^_ Sc5_ 


Loss whin called 


o 


witn. whew, folded to: ±±c> 


Required foldltn ,0 % to break, evew,: 


A 

w 















































J 10 


y\. 






3 

* 




Pot: 4‘50 
435" Stacfe 

Vilaiw will call with awu pair aww draw 
Equity whew called: ^_ £>.5 _ 


Loss whew called C- 


vviw whew folded to:_ 50 _ 


T^e^wired foIdLwg ^ to breath evew:_ o_ 




































\r 



■\/" 






-V 

8 

/- \c 

6 

*J 

♦ 

V__A 


\ 


/ 


r ' 

J 

r 

K 

♦ 

i_ - _ J 

♦ 

^_ - _j 


Pot: $±00 

$°>o stacfes 

Villa Lia, will catl with Qia-^ boat or better 


Equity whew called: ^5_ ±0 

Loss whew called: too 


win whew folded to: _±oo 


Reyu.lred foldiwo) % to breate evew:_ sg 




































A 

J 

- •> 

10 

/■ 

10 

<* \ 

♦ 


l*J 




/ 


* - 

a 

r i 

a 


A 


Pot: 4f-5 
$150 stacks 

Villain will call with top pair or better 
or with an open ended straight draw 
or A ki with bacte door flush 
Equity when called: ^_ 4 7" _ 

Loss when called: o 


Win when folded to:_ iso 


Retired folding % to breafe even:_ o 
































■\ f 


- \r - \r 



'-'I 

A 

K 






"Pot: Villa Lw ioStS 4*30 twto dtec 
4 ^12C stacks before you. call 


viLLaiw will c.£?LL with AG Z.+ or + 


Equity whew- called: _ 5± 

Loss whew, called: 0 


vvlw whew folded to: sc 

Required foldlwg % to break evew:_ c 


































■\ r 


- \f - \r 


\s -\ 


s\ s\ j /v 


j' 

r-> 

J 




Pot: +30 il/uto +.50 
+200 staetes 

Villa Iw will call with C2CZ.+ awd Akls 


Equity whew called: 

Loss whet a- sailed: 50 

vvlw whew folded to:_ so 

Required foldlwg % to breate evew:_ 52 



































Combinatorics You Can Use at 

the Table. 

This is a reprint from the appendix of Poker Plays You Can Use 


When I make a big call or laydown at the table, I will make note of it and 
then do the math at home. It can take a while using Flopzilla to figure out if you 
did the right thing. How can you do the same kind of analysis at the time when 
the information is the most valuable? First, as you run these analyses away from 
the table, you will build up intuition and pattern recognition. It will be much like 
how you no longer need to run a simulation to know that AK vs. QQ is about 
50/50. This is an approximation but a useful one. The system outlined here is 
also an approximation, but it is something that can be done at the table. That is 
worth something. 

This system is meant for use on the river when bluff catching. When Villain 
bets into you, the critical decision is how often that bet is a value bet and how 
often it is a bluff You need to approximate the amount of combinations in each 
category. 


Here is a classification of the final boards that we can have: 






























































































































































The grey regions do nol rely on combinatorics at the table as much and are 
less common. We will be focusing on unpaired and single paired boards from 
rainbow to a possible flush. 

On unpaired boards, we are most likely to want to count combinations of 
plausible holdings by Villain where he hit or was drawing to: 

• Flushes (missed or hit) 

• Straights (missed or hit) 

• Sets 

• Two pairs 

• Top pair with a range of kickers 


What follows are estimates that can be done at the table quickly and are 
easily memorized. A quick reference is at the end of them all. There are other 
factors you can bring in to refine them such as unsuited connectors like QJo are 
played more often than 56o and holding blockers. You can make refinements at 
your discretion later. For instance, you might believe there are any suited cards 
in Villains range and need to modify that count. 

Two card flush counts: 

The flushes are the hardest to count and are why this system was invented. 

Here are typical boards by the river where you might want to count flushes 
or missed flush draws. All of this depends on how many suited cards are in 
Villains range. These charts are reasonable for your average low stakes live player. 


f \ 

A 

'9 

U1 

L*J 

y. 

yj 



or 


f n 

A 

9 

y< 

y J 




Villain 
might hold 
Ace 

Villain might 
hold King 

Villain might 
hold suited 

connectors 

All (3 flush) 

9 

9 

-7 (depends 
on board) 

Simplified 

7 

n 

3 

3 


























Modify the above for each condition: 

• -2 for every other high board flush card (9-Q) 

• +2 for every low board flush card (2-5) 

• +2 if they play one-gappers 

• +2 if they play suited garbage 

• +2 again if they really play any suited garbage 

• +2 on two-flush boards 

• -2 for each flush card in your hand except A and K 

• +2 if AK are both not with Villain (just a correction) 

What do you do with these charts? Look at the board and your hand. If you 
cannot see the Ace of flush, Villain might have it That means there are nine Ax 
hands he can have* In the final row, we give our lessened estimate of how many 
are in his range because not all of them are played all the time* 

The same with King high flush draws* This one is lessened even more 
because thev are not as attractive as Ax* 


Suited connectors will vary widely based on the board having blockers. This 
was also simplified for expediency. Count these if you think Villain can play 
suited connectors. 

Add up the values from the bottom row that apply to this Villain and board. 

Next, we need to modify this base value based on the situation to get the 
final count. Look at each case and make the modification to your count. Note 
that if you can see both the Ace and King, then we need to add two to their 
count, mostly as a correction. 


Let uslookat three seemingly similar boards to see that these approximations 
make sense. 


A 


8 

l±J 

4* 1 

Jtj 



Against a villain who does not play suited gappers, this system gives five 
combos 

• 3 for Suited connectors 

• 2 to compensate for AK on board 














A different three-flush board. 


8 

f -■> 

2 

[5] 



+ - 



This system gives 17 combos 

• 7 for suited Aces 

• 3 for suited Kings 

• 3 for suited connectors 

• 4 because low cards do not block many flushes 
















A final board where Lhe flush draw never got there. 



This system gives 14 combos 

• 7 for suited Aces 

• 3 for suited connectors 

• 2 for low card 


2 for missed flush 








Two card straights counts: 


A 

8 

id 

isJ 

♦ 

Sc- - r-J 

L_ J 



Suited only 




'a' 

♦ , 

8 


A 10 : 
* 

l_ j k_ 


Blocker in hand 

1-2 

6 

Unblocked 

2-3 

9 

Simplified 

2 per pair 

7 per pair 


Suited or unsuited 


(unsuited are played less) 


Here, you can have blockers in hand. Villain can play the specific two ranks 
either suited or unsuited. The simplified counts reflect the fact that unsuited 
cards get played less often. The higher the two ranks, the less this is true. You can 
modify a bit as needed. 




























Sets- count per rank: 



Unblocked 

Blocked 

All 

3 

i 

Simplified 

3 

i 


Sets are easy to count. 


Two pair- count per pair of ranks: 


Y 

t — i 

8 

- ^ 

10 


4 

i *■ ^ 




Suited only 




r— 

A 

f - s 

8 

. *, 



A 

r--,, p 

10 

4 

V 1 J 


Blocker in hand 

1-2 

6 

Unblocked 

2-3 

9 

Simplified 

2 per pair 

7 per pair 


Suited or un suited 


Very similar to two card straight counts. 









































Single board pair- count by kicker ranks: 


K 

- 

8 

c -' 

5 






Suited only 




r ^ 

f - 1 

9 

ji 

Y 

♦ 

^ — 

'a' 


Pair blocker in hand 

2 

8-9 

Unblocked 

3 

12 

Simplified 

2 per rank 

10 per rank 


Suited or unsuited 


Ihere are a lot more of these to count if you are concerned about them. 































Even wilh this simplified counting scheme, this can be hard to keep in your 
head. Thankfully, you have a whole bunch of chips in front of you. Use them as 
counters. Make a pile of “bluffs” and start putting chips in there as you count 
them. Do the same for value hands. Depending on how many chips you have, 
you could consider them all the same value and compare the heights of the piles. 
This makes reducing the fraction much easier. A pile of 12 chips versus 4 chips 
can quickly be halved twice to become 3 to 1. Even if you had 13 chips to 4 chips, 
this is close enough to work at the tables. 


Let us try this system on some boards: 


y 

A 

R 

Q 

t \ 

O 

IV 

! 4* J 

Jl 

, * , 

¥ 

♦ 

-- 


From the betting, we think Villain has 

• Bluff: missed club flush 

• Bluff missed 67s or 78s 

• Value: two pair- 45s 

• Value: Sets- 44, 55, 99 























o Clubs: 14 combos 


• 7 combos for ihe Ace 

• 3 combos for suited connectors 

• 2 combos for the low flush card 

• 2 combos because flush missed 
o Straights: 6 combos 

• (4-1) combos for 67s (flushes already counted) 

• (4-1) combos for 78s (flushes already counted) 


o Two pair: 2 combos 

• 2 combos of 45s 
o Sets: 9 combos 

• 3 combos each for (4,5,9) 


This yields 20 bluffs versus 11 value 



Think about a board where we hold the Ace of flush and King of spades. 
Do we believe Villain is bluffing the flush or flopped a straight? Villain is in the 
Big Blind defending against our Button raise so he will play one-gappers, a wide 
range of suited garbage, and 75o. 


o 

\ 

ft 

A 

“ \ 
y 

- \ 

o 

o 

♦ 

u 

* 

liJ 

l*J 

Lt 

4 

S 


o Diamonds: 12 combos 

• 3 for the King 

• 3 for suited connectors 

• 2 for 1-gappers 

• 2 for the low card 

• 2 for flush missing 

• 2 for suited garbage 























• 2 for real suited garbage 
o Straight: 10 combos 

• 10 combos for the 57 

While these are simply approximations, they are easy to remember and 
calculate. 


On paired boards, all the estimates above are fine if you remember the board 
pair does not count towards two pair since estimates are for using both cards to 
pair. With paired boards you will also want to count open trips and full houses. 


For counting full houses there are two kinds on single paired boards: 
o Pocket pairs 

o Unpaired hole cards matching the board pair and one other 


Full house- count by type and rank: 


-' 

A 

r i 

10 

10 

F 1 

9 

fjl 

A 

+ 

-__J 

L£ 

JL 




Paired oi 

f 9 ][ 9' 

UJliJ 

llv 

U2P 

10 

airec 

V 

. ♦ , 


Simplified 

3 pc 

r rank 

6 per rank 
































Open Trips- count by kicker rank: 



'9' 

r-' 

J 


l*. 



10 

fl 

•f* 


Simplified 

8 per rank 


The value of this system is that it is easy to do in your head or by counting 
out chips at the table. When you are counting these out, contemplating your 
action, it just looks like you are playing with your chips. 

























Simplified Combinatorics for % 

NEEDING TWO CARDS 

Flushes: 7-3-3 (Ace, King, connectors) 

• -2 for every board flush card (9-Q) 

• +2 for every (2-5) 

• +2 if they play one-gappers 

• +2 if they play suited garbage 

• +2 again if they really play any suited garbage 

• +2 on two-flush boards 

• -2 for each flush card in your hand except A and K 

• +2 if AK are both not with Villain (just a correction) 

Straights: 4-10 (Suited, either) 

Sets: 3-1 (Unblocked, blocked) 



Two pair: 

Single pair per kicker: 


Full houses: 


2-7 (Suited, either) 

2- 10 (Suited, either) 

3- 6 (pocket pairs, unpaired holding) 
8 per rank of kicker 



Open Trips: 








Computer Tools 

The answer key for this book was created with a calculator, pen and paper 
and a few computer tools: 

Flopziila 

This excellent software is available from Flopzilla.com, This is excellent for 
counting combos, just press tab to go from percentage mode to combo mode. 
Flopziila is not really made for hand on hand analysis, you need to make the 
range just one combo and put the other hand in as the “dead cards” for that 
analysis. Flopziila is not able to do range on range calculations either. You can 
also get the equities on just the flop or turn instead of all the way to the river. The 
hotness visualization makes it easy to count outs. 

Equilab 

This software from PokerStrategy.com shines for hand on hand analysis 
and range on range analysis. It does not count combos or outs as well. It is easier 
for solving many of the problems in this book when you are doing them very 
quickly, but does not have as much information for study. 


Fold Equity Calculator 

This is a web page that works on mobile or PC: 

http://RedChipPoker.com/fold-equity-calculator/ 

It is a simple fold equity calculator and that is all it does. It was developed 
by us at Red Chip Poker, so if you have improvements, let us know. 

These tools are all essentials. It is not a matter of either/or, but both. There 
are also similar poker calculators for mobile. The author uses Poker Cruncher 
on iPhone but there are lots of great alternatives. 


Obligatory Silly Painting 



Final thank you to Laura for being a huge grammar geek. 






About the Author 

After the great success of his first book. Poker Plays You Can Use, in the 
spring of 2015 Doug quit his 9-to-5 engineering job to do this kind of stuff full¬ 
time in Las Vegas, He runs Red Chip Poker along with James Sweeney, Ed Miller 
and Christian Soto. 

Doug does poker coaching by the hour and in three day boot camp style 
engagements. Say hello any time you see him at the tables or give him a call to 
tune up your game: 

Hull@RedChipPoker.com 
Text or call: 508.904.9626