Poker Math That Matters

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$Practical Poker Math$

Table of Contents Acknowledgements .................................................................. viii About Owen Gaines .................................................................... x About this Book ........................................................................... 1 Introduction ................................................................................. 3 Why <strong>Math</strong> <strong>Matters</strong> ................................................................... 3 Quiz ..................................................................................... 6 Measurements .............................................................................. 9 Your Surroundings .................................................................. 9 Quiz ................................................................................... 14 Thinking About Bets in No-Limit Hold'em ........................... 15 Quiz ................................................................................... 17 Your Expectations ................................................................. 18 Quiz ................................................................................... 22 Getting Started with Numbers ................................................... 23 Working with Fractions, Percentages and Ratios .................. 23 Quiz ................................................................................... 27 Expectation Value ................................................................. 29 Quiz ................................................................................... 33 Hit the Deck ............................................................................... 35 Counting Outs ........................................................................ 35 Quiz ................................................................................... 44 The 4/2 Rule .......................................................................... 50 iv
v Quiz ................................................................................... 57 Putting It Together ..................................................................... 59 Pot Odds ................................................................................ 59 Quiz ................................................................................... 64 Implied Odds ......................................................................... 66 Quiz ................................................................................... 69 World of the Unknown .............................................................. 71 Combinations ......................................................................... 71 Quiz ................................................................................... 78 Equity Versus a Range .......................................................... 81 Quiz ................................................................................... 87 Which Bucks? ........................................................................ 89 Quiz ................................................................................... 92 Aggression ................................................................................. 93 Bluffing ................................................................................. 93 Quiz ................................................................................... 97 Semi-bluffing ......................................................................... 99 Quiz ................................................................................. 106 Value-Betting ...................................................................... 108 Quiz ................................................................................. 113 At the Table ............................................................................. 117 A Bit of Memory ................................................................. 117 Quiz ................................................................................. 120 Chunking ............................................................................. 121 Quiz ................................................................................. 126
Page 2 and 3: Poker Math That Matters Simplifying
Page 6 and 7: Set-Mining ........................
Page 8: Acknowledgements One of the most va
Page 11 and 12: xi poker fits my family's lifestyle
Page 13 and 14: 2 Throughout this book, you will se
Page 15 and 16: 4 Let’s talk a bit about how to d
Page 17 and 18: 6 want to just play, play, and play
Page 20 and 21: Measurements Your Surroundings Ther
Page 22 and 23: Another measurement to understand i
Page 24 and 25: those sections. For a beginning pla
Page 26 and 27: Thinking About Bets in No-Limit Hol
Page 28 and 29: Here's why this works. If we were t
Page 30 and 31: playing at a 6-max table, he’ll p
Page 32 and 33: money for a while and not even be c
Page 34 and 35: Getting Started with Numbers Workin
Page 36 and 37: The last topic to cover in this sec
Page 38 and 39: doesn’t happen to complete our ra
Page 40 and 41: Expectation Value You’re walking
Page 42 and 43: 0.5 * (-$10) = (-$5) Now let’s do
Page 44: Quiz (Answers on pg. 158) 1. Someon
Page 47 and 48: 36 left to come on the river. What
Page 49 and 50: 38 Hero: 6♠7♠ Villain: A♣K♦
Page 51 and 52: 40 TT88A. Your opponent’s best ha
Page 53 and 54: 42 Gutshot straight draw (aka Gutte
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44 you’ll need to add these toget
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46 9. Hero: Q♦K♥ Villain: A♠J
Page 59 and 60:
48 19. Hero: A♠Q♣ Villain: 5♣
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50 The 4/2 Rule I hope you’ve tak
Page 63 and 64:
52 pretty simple, right? But, of co
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54 Let’s try one more. Hero: J♥
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56 We can multiply these fractions
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58 4. Hero: 9♦6♦ Villain: J♦J
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60 So, the equation looks like this
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62 We have a flush draw. The pot is
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64 Quiz (Answers on pg. 174) For th
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66 Implied Odds In this section, we
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68 Table 6. Multiplication factor t
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70 3. Hero: A♣Q♦ Villain: J♦J
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72 When we look at the hand range s
Page 85 and 86:
74 Figure 7. Two groups containing
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76 the probability distribution of
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78 the suited A holdings villain co
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80 8. Hero: 5♥6♥ Villain: 99, Q
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82 section. As usual, we’ll talk
Page 95 and 96:
84 Now, obviously we’re going to
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86 AA: 3 combinations- 12% KK: 3 co
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88 2. Hero: J♠A♠ Villain: QQ, K
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90 So, we lost $360 in Sklansky-buc
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92 Quiz (Answers on pg. 184) Calcul
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94 Take a second and think about th
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96 make that bet. Looking at the EV
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98 2. Hero: 5♠4♠ Villain: Fold
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100 Let's do a quick exercise to es
Page 113 and 114:
102 39x - 7.56 + 7.56x > 0 46.56x >
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104 $81(0.24) = $19.44 2. Our shove
Page 117 and 118:
106 Quiz (Answers on pg. 188) Assum
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108 Value-Betting Value-betting is
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110 and we’ll give him a $500 sta
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112 only the hands that beat us. Ou
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114 2. Hero: K♥Q♥ Villain: Call
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116 7. Hero is out of position: K
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118 and then consider your pot odds
Page 131 and 132:
120 Quiz (Answers on pg. 197) 1. Ho
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122 Seems like a small thing, right
Page 135 and 136:
124 all sorts of As, Js and Ts in h
Page 137 and 138:
126 Quiz (Answers on pg. 198) 1. Wh
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128 First of all, the above calcula
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130 past hands may cause you to twe
Page 143 and 144:
132 would want to get the money in
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134 he can call profitably, if we h
Page 147 and 148:
136 It's obviously a mistake for hi
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138 4. Hero: Q♣Q♦ Villain: 8♣
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140 decision may be a totally diffe
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142 adjustment. So, in order to avo
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144 balanced poker every day of the
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146
Page 159 and 160:
148 Congratulations on making your
Page 161 and 162:
150 Comparing these two bet sizes,
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152 So, we're still better of betti
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154 Your Surroundings Quiz Answers
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156 2. If you played 10,000 hands b
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158 Answer: Probability is 2 6 odds
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160 4. Someone holds out a deck of
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162 4. Hero: 5♣7♣ Villain: K♦
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164 9. Hero: Q♦K♥ Villain: A♠
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166 14. Hero: 7♠8♠ Villain: 9
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168 18. Hero: A♠5♠ Villain: A
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170 22. Hero: 4♠5♠ Villain: A
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172 The 4/2 Rule Quiz Answers 1. He
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174 6. Hero: Q♦Q♥ Villain: A♥
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176 4. Hero: 9♦6♦ Villain: J♦
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178 Combinations Quiz Answers 1. He
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180 7. Hero: 6♥7♠ Villain: QQ,
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182 2. Hero: J♠A♠ Villain: QQ,
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184 outs for 6% equity. Against 66,
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186 Bluffing Quiz Answers 1. Hero:
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188 Answer: A 1/3 pot bet must work
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190 $24 - $14 = $10 We’re risking
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192 0.57($20) + 0.43(-$20) = EV 11.
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194 4. Hero: A♦J♦ Villain has $
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196 6. Hero is out of position: K
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198 2. How often will you flop an o
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200 2. What are some of the factors
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202 5. When might we allow some dra
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204
Page 217 and 218:
206 Chopping Outs: Cards to come th
Page 219 and 220:
208 Offsuit: Hole cards that do not
Page 221 and 222:
Owen Gaines also wrote Hole Card Co
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