Poker Math That Matters

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$Practical Poker Math$

doesn’t happen to complete our ratio. The total chances are five, and it does happen two. So, we subtract two from five, and we get three. There are three times this doesn’t happen. So, the ratio is 3:2. We could even add the percentage in here. 2 / 5 = 0.40 = 40% 2 5 = 3:2 = 0.4 = 40% They all represent the same part of a whole. In 1968, The Doors released an album called Waiting for the Sun. On it, there was a song called “Five to One”. Here are a couple lines from the song. “Five to one, baby, one in five. No one here gets out alive”. Do you see the mistake in the lyrics? 5:1 is not the same as 1 . The ratio 5:1 is equal to one out of six. 5 But, this material is much more useful than correcting the lyrics to classic rock tunes. This is the foundation to understanding profitable gambling. Quiz (Answers on pg. 157) 1. Convert 1 to a ratio. 4 2. Convert 1 to a percentage. 8 3. Convert 5:1 to a fraction. 27
28 4. Convert 2:1 to a percentage. 5. Convert 9:2 to a fraction. 6. What are the odds against rolling a 1 or a 2 when rolling one die? 7. What is the probability of rolling two 4s when rolling two dice?
Page 2 and 3: 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 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 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
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
Page 125 and 126:
114 2. Hero: K♥Q♥ Villain: Call
Page 127 and 128:
116 7. Hero is out of position: K
Page 129 and 130:
118 and then consider your pot odds
Page 131 and 132:
120 Quiz (Answers on pg. 197) 1. Ho
Page 133 and 134:
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
Page 139 and 140:
128 First of all, the above calcula
Page 141 and 142:
130 past hands may cause you to twe
Page 143 and 144:
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
Page 157 and 158:
146
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 and 196:
184 outs for 6% equity. Against 66,
Page 197 and 198:
186 Bluffing Quiz Answers 1. Hero:
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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Poker Math That Matters

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