Poker Math That Matters

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$Practical Poker Math$

Let’s try one more. Hero: A♠K♥. Villain: J♣T♦ Board: J♠9♣8♦2♥ The pot is $40. Our opponent bets $10. Should we call or fold? We see his bet was 1/4 pot, so we know from Table 5 we need to have 16% equity to call. We now look at our outs and see we have six outs. Using the 4/2 rule, we multiply 6 times 2 and get 12%. This is smaller than the 16% we need, so we should fold. Again, we can run an EV calculation to check the EV of this call when we’re away from the table. 0.12($50) - 0.88($10) = EV $6 - $8.8 = (-$2.80) Or 0.12($60) - $10 = EV $7.20 – $10 = (-$2.80) Examining pot odds can be done in seconds at the table. Make sure you take time to memorize Table 5 and practice until you’re very comfortable with this process. 63
64 Quiz (Answers on pg. 174) For the following questions, answer call or fold. 1. Hero: 8♣9♣ Villain: A♣J♥ Board: 7♦8♦2♠A♠ Pot was $10, and villain goes all-in for $5. 2. Hero: A♣A♥ Villain: 5♥6♥ Board: 7♦8♦J♠ Pot was $24. Hero goes all-in for $28. What should villain do? 3. Hero: A♣Q♦ Villain: J♦J♥ Board: 3♠5♣5♦ Pot was $10. Villain goes all-in for $6.50.
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Poker Math That Matters Simplifying
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Table of Contents Acknowledgements
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Set-Mining ........................
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Acknowledgements One of the most va
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xi poker fits my family's lifestyle
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2 Throughout this book, you will se
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4 Let’s talk a bit about how to d
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6 want to just play, play, and play
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Measurements Your Surroundings Ther
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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
Page 55 and 56: 44 you’ll need to add these toget
Page 57 and 58: 46 9. Hero: Q♦K♥ Villain: A♠J
Page 59 and 60: 48 19. Hero: A♠Q♣ Villain: 5♣
Page 61 and 62: 50 The 4/2 Rule I hope you’ve tak
Page 63 and 64: 52 pretty simple, right? But, of co
Page 65 and 66: 54 Let’s try one more. Hero: J♥
Page 67 and 68: 56 We can multiply these fractions
Page 69 and 70: 58 4. Hero: 9♦6♦ Villain: J♦J
Page 71 and 72: 60 So, the equation looks like this
Page 73: 62 We have a flush draw. The pot is
Page 77 and 78: 66 Implied Odds In this section, we
Page 79 and 80: 68 Table 6. Multiplication factor t
Page 81 and 82: 70 3. Hero: A♣Q♦ Villain: J♦J
Page 83 and 84: 72 When we look at the hand range s
Page 85 and 86: 74 Figure 7. Two groups containing
Page 87 and 88: 76 the probability distribution of
Page 89 and 90: 78 the suited A holdings villain co
Page 91 and 92: 80 8. Hero: 5♥6♥ Villain: 99, Q
Page 93 and 94: 82 section. As usual, we’ll talk
Page 95 and 96: 84 Now, obviously we’re going to
Page 97 and 98: 86 AA: 3 combinations- 12% KK: 3 co
Page 99 and 100: 88 2. Hero: J♠A♠ Villain: QQ, K
Page 101 and 102: 90 So, we lost $360 in Sklansky-buc
Page 103 and 104: 92 Quiz (Answers on pg. 184) Calcul
Page 105 and 106: 94 Take a second and think about th
Page 107 and 108: 96 make that bet. Looking at the EV
Page 109 and 110: 98 2. Hero: 5♠4♠ Villain: Fold
Page 111 and 112: 100 Let's do a quick exercise to es
Page 113 and 114: 102 39x - 7.56 + 7.56x > 0 46.56x >
Page 115 and 116: 104 $81(0.24) = $19.44 2. Our shove
Page 117 and 118: 106 Quiz (Answers on pg. 188) Assum
Page 119 and 120: 108 Value-Betting Value-betting is
Page 121 and 122: 110 and we’ll give him a $500 sta
Page 123 and 124: 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
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120 Quiz (Answers on pg. 197) 1. Ho
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122 Seems like a small thing, right
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124 all sorts of As, Js and Ts in h
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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
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132 would want to get the money in
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134 he can call profitably, if we h
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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
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148 Congratulations on making your
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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
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206 Chopping Outs: Cards to come th
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208 Offsuit: Hole cards that do not
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Owen Gaines also wrote Hole Card Co
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