Poker Math That Matters

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$Practical Poker Math$

2. Hero: A♠J♠ $22.50 - $1.50 = $21 • G-bucks: You had 71% equity against his assumed range. 0.71($25) + 0.29(-$15) = EV $17.75 - $4.35 = $13.40 Villain’s assumed range: KQ, AK, 9♠T♠ Board: K♠6♠5♦ 185 You both started with $15 and put $5 in preflop. The pot is now $10. Villain goes all-in for $10, and you call. Villain turns over K♦Q♠. The final board is K♠6♠5♦Q♦3♥. Answer: • Real-bucks: You have $15 less than you did before the hand started. • Sklansky-bucks: You had 43% equity on the flop. 0.43($20) + 0.57(-$10) = EV $8.60 - $5.70 = $2.90 • G-bucks: You had 43% equity against his assumed range, which is the same as the Sklansky-bucks.
186 Bluffing Quiz Answers 1. Hero: 3♦4♠ Villain: Fold - 78 Call - KJ, AJ, AT Board: 5♦6♣T♥J♥J♦ Is a 1/2 pot bet profitable? Answer: A 1/2 pot bet must work more than 33% of the time. Villain is folding 78, which totals 16 combinations. The calling hands consist of 28 combinations. 16 / 44 = 0.36 The bluff is profitable. 2. Hero: 5♠4♠ Villain: Fold - 78 Call - JJ, QQ, KK, AA Board: 6♠8♠2♥T♥9♥ Is a pot bet profitable? Answer: A pot bet must work more than 50% of the time. Villain is folding 12 combinations. He’s calling with 24 combinations.
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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
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those sections. For a beginning pla
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Thinking About Bets in No-Limit Hol
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Here's why this works. If we were t
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playing at a 6-max table, he’ll p
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money for a while and not even be c
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Getting Started with Numbers Workin
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The last topic to cover in this sec
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doesn’t happen to complete our ra
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Expectation Value You’re walking
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0.5 * (-$10) = (-$5) Now let’s do
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Quiz (Answers on pg. 158) 1. Someon
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36 left to come on the river. What
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38 Hero: 6♠7♠ Villain: A♣K♦
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40 TT88A. Your opponent’s best ha
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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
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48 19. Hero: A♠Q♣ Villain: 5♣
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50 The 4/2 Rule I hope you’ve tak
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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
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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
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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
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102 39x - 7.56 + 7.56x > 0 46.56x >
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104 $81(0.24) = $19.44 2. Our shove
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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
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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
Page 145 and 146: 134 he can call profitably, if we h
Page 147 and 148: 136 It's obviously a mistake for hi
Page 149 and 150: 138 4. Hero: Q♣Q♦ Villain: 8♣
Page 151 and 152: 140 decision may be a totally diffe
Page 153 and 154: 142 adjustment. So, in order to avo
Page 155 and 156: 144 balanced poker every day of the
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Page 159 and 160: 148 Congratulations on making your
Page 161 and 162: 150 Comparing these two bet sizes,
Page 163 and 164: 152 So, we're still better of betti
Page 165 and 166: 154 Your Surroundings Quiz Answers
Page 167 and 168: 156 2. If you played 10,000 hands b
Page 169 and 170: 158 Answer: Probability is 2 6 odds
Page 171 and 172: 160 4. Someone holds out a deck of
Page 173 and 174: 162 4. Hero: 5♣7♣ Villain: K♦
Page 175 and 176: 164 9. Hero: Q♦K♥ Villain: A♠
Page 177 and 178: 166 14. Hero: 7♠8♠ Villain: 9
Page 179 and 180: 168 18. Hero: A♠5♠ Villain: A
Page 181 and 182: 170 22. Hero: 4♠5♠ Villain: A
Page 183 and 184: 172 The 4/2 Rule Quiz Answers 1. He
Page 185 and 186: 174 6. Hero: Q♦Q♥ Villain: A♥
Page 187 and 188: 176 4. Hero: 9♦6♦ Villain: J♦
Page 189 and 190: 178 Combinations Quiz Answers 1. He
Page 191 and 192: 180 7. Hero: 6♥7♠ Villain: QQ,
Page 193 and 194: 182 2. Hero: J♠A♠ Villain: QQ,
Page 195: 184 outs for 6% equity. Against 66,
Page 199 and 200: 188 Answer: A 1/3 pot bet must work
Page 201 and 202: 190 $24 - $14 = $10 We’re risking
Page 203 and 204: 192 0.57($20) + 0.43(-$20) = EV 11.
Page 205 and 206: 194 4. Hero: A♦J♦ Villain has $
Page 207 and 208: 196 6. Hero is out of position: K
Page 209 and 210: 198 2. How often will you flop an o
Page 211 and 212: 200 2. What are some of the factors
Page 213 and 214: 202 5. When might we allow some dra
Page 215 and 216: 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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