Poker Math That Matters

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$Practical Poker Math$

Double Gutter (aka Double Belly Buster) – You can fill in one card to make a straight in two spots. Sometimes these are hard to see and take some experience to catch quickly. Here we need either an 8 or a 4 to complete our straight. We have eight outs to our straight. Hero: 6♠7♠ Villain: A♣K♦ Board: K♥5♦9♣3♠ Four-flush (aka Flush draw) – You have four cards of a single suit and need one more. Here we need a spade to complete our flush. We have nine outs to the flush. Hero: 6♠7♠ Villain: A♣K♦ Board: K♠2♠Q♥ Open-ended straight flush draw (abbreviated as OESFD) – You not only have four cards of a single suit, you also have four cards in a row and can hit a straight on either end. Here we need either a 5, a T or a spade. We have 15 outs to a straight or flush. This is a very powerful draw and will often win the pot more than 50% of the time from the flop to the river when your opponent has a pair. Hero: 6♠7♠ Villain: A♣K♦ Board: K♣8♠9♠ Soon, many of these will become ingrained in your mind, and you won’t even have to think about them. Also, many times 43
44 you’ll need to add these together. Perhaps you’ll have a gutter and a pair, and you’ll add them together for nine outs. A great way to practice counting outs is to take a deck of cards and deal out two sets of hole cards. Then deal out the flop. Find out who has the worst hand, and count their outs. With time and practice, you’ll become very proficient at counting outs. Quiz (Answers on pg. 160) For the following questions, answer how many outs the hero has (do not forget chopping and backdoor outs). 1. Hero: 8♦J♥ Villain: K♦A♦ Board: 5♣Q♦K♥A♥ 2. Hero: 3♣3♦ Villain: A♣J♣ Board: J♦8♦2♥A♠ 3. Hero: K♠9♠ Villain: J♠J♥ Board: 4♥8♥6♦A♣
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Poker Math That Matters Simplifying
Page 4 and 5: Table of Contents Acknowledgements
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: 42 Gutshot straight draw (aka Gutte
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 and 74: 62 We have a flush draw. The pot is
Page 75 and 76: 64 Quiz (Answers on pg. 174) For th
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
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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
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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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Poker Math That Matters

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