Practical Poker Math

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$Poker Math That Matters$

Practical Poker Math Odds the Turn Card Will . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 Odds with 2 Cards to Come . . . . . . . . . . . . . . . . . . . . . . . 103 Odds of Hitting on Either or Both Turn & River . . . . . . . . 103 Runner – Runner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Before the Last Card . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 Odds of Improvement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 The River Bet — Last Chance to Earn . . . . . . . . . . . . . . . . . . 133 4. Consolidated Odds Tables . . . . . . . . . . . . . . . . . . . . . . . . 135 Texas Hold’em Odds Tables . . . . . . . . . . . . . . . . . . . . . . . . . . 136 Starting Hands. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 Before the Flop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 After the Flop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 Last Card (The River) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 Omaha Hi-Lo Odds Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Starting Hands. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Before the Flop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Odds of Improvement with the Turn Card. . . . . . . . . . . . . 143 Odds of Improvement with 2 Cards to Come . . . . . . . . . 143 Odds of Making Certain Runner-Runner Draws . . . . . . . 144 Odds of Improvement with Only the River Card to Come . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 5. Odds in Omaha Hi-Lo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 Starting Hands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Odds & Probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 Before the Flop. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 Omaha Hi-Lo — Before the Flop. . . . . . . . . . . . . . . . . . . . . 172 The Calculations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 After the Flop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Nut Hand or Nut Draw . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Money & Expectation After the Flop . . . . . . . . . . . . . . . . . 191 Odds of Improvement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 Odds the Turn Card Will . . . . . . . . . . . . . . . . . . . . . . . . . . 194 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 vi
Odds with 2 Cards to Come . . . . . . . . . . . . . . . . . . . . . . . 201 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 Runner – Runner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Before the Last Card . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 The Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 The River Bet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 vii
Page 2 and 3: Get $150 Dollars Bankroll For Free
Page 4 and 5: CLICK HERE TO DOWNLOAD POKEROFFICE
Page 7 and 8: Practical Poker Math By Pat Dittmar
Page 9 and 10: Thanks to some Friends for their la
Page 11: Table of Contents Preface . . . . .
Page 16 and 17: This is not perfect knowledge. It i
Page 18 and 19: Practical Poker Math The first aim
Page 20 and 21: 1. Introduction to Game Theory in P
Page 28 and 29: 2. The Basic Calculations Total Pos
Page 30 and 31: 2. The Basic Calculations Another w
Page 32 and 33: 2. The Basic Calculations Combinati
Page 34 and 35: 2. The Basic Calculations This can
Page 36 and 37: 2. The Basic Calculations 52 * 51 =
Page 38 and 39: 2. The Basic Calculations pot odds
Page 40 and 41: 2. The Basic Calculations Total Odd
Page 42 and 43: 2. The Basic Calculations Odds in T
Page 44 and 45: 2. The Basic Calculations number of
Page 46 and 47: 2. The Basic Calculations sible fro
Page 48 and 49: 2. The Basic Calculations Open Ende
Page 50 and 51: 2. The Basic Calculations Odds of a
Page 52 and 53: 2. The Basic Calculations After the
Page 54 and 55: 2. The Basic Calculations The odds
Page 56 and 57: 2. The Basic Calculations (48 * 47
Page 58 and 59: 2. The Basic Calculations After the
Page 60 and 61: 2. The Basic Calculations Therefore
Page 62 and 63:
2. The Basic Calculations Before th
Page 64 and 65:
3. Odds in Texas Hold’em ♦ The
Page 66 and 67:
3. Odds in Texas Hold’em the arti
Page 68 and 69:
3. Odds in Texas Hold’em In a ful
Page 70 and 71:
3. Odds in Texas Hold’em The tabl
Page 72 and 73:
3. Odds in Texas Hold’em Pocket A
Page 74 and 75:
3. Odds in Texas Hold’em WILLNOTs
Page 76 and 77:
3. Odds in Texas Hold’em 54 1,326
Page 78 and 79:
3. Odds in Texas Hold’em Axs Comb
Page 80 and 81:
3. Odds in Texas Hold’em 2 Big Ca
Page 82 and 83:
3. Odds in Texas Hold’em Among th
Page 84 and 85:
3. Odds in Texas Hold’em consider
Page 86 and 87:
3. Odds in Texas Hold’em Before t
Page 88 and 89:
3. Odds in Texas Hold’em 1 * 100
Page 90 and 91:
3. Odds in Texas Hold’em Starting
Page 92 and 93:
3. Odds in Texas Hold’em the pock
Page 94 and 95:
3. Odds in Texas Hold’em Odds of
Page 96 and 97:
3. Odds in Texas Hold’em rank, th
Page 98 and 99:
3. Odds in Texas Hold’em 39 * 55
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3. Odds in Texas Hold’em After yo
Page 102 and 103:
3. Odds in Texas Hold’em Suited C
Page 104 and 105:
3. Odds in Texas Hold’em Total Po
Page 106 and 107:
3. Odds in Texas Hold’em 2 Big Ca
Page 108 and 109:
3. Odds in Texas Hold’em with AJ
Page 110 and 111:
3. Odds in Texas Hold’em 2 Unpair
Page 112 and 113:
3. Odds in Texas Hold’em ♦ Like
Page 114 and 115:
3. Odds in Texas Hold’em must hav
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3. Odds in Texas Hold’em Pair >>>
Page 118 and 119:
3. Odds in Texas Hold’em Open Str
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3. Odds in Texas Hold’em Set >>>
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3. Odds in Texas Hold’em After th
Page 124 and 125:
Page 126 and 127:
3. Odds in Texas Hold’em Open Str
Page 128 and 129:
3. Odds in Texas Hold’em (10 * 9)
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3. Odds in Texas Hold’em 172 + 2
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3. Odds in Texas Hold’em Runner -
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3. Odds in Texas Hold’em 1 Pair >
Page 136 and 137:
3. Odds in Texas Hold’em For each
Page 138 and 139:
3. Odds in Texas Hold’em With onl
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3. Odds in Texas Hold’em 2 Unpair
Page 142 and 143:
3. Odds in Texas Hold’em Thus of
Page 144 and 145:
Page 146 and 147:
3. Odds in Texas Hold’em 2 Pair >
Page 148 and 149:
3. Odds in Texas Hold’em still 9
Page 150 and 151:
3. Odds in Texas Hold’em Open End
Page 152 and 153:
3. Odds in Texas Hold’em 2. The g
Page 154 and 155:
4. Consolidated Odds Tables Texas H
Page 156 and 157:
4. Consolidated Odds Tables After t
Page 158 and 159:
4. Consolidated Odds Tables After T
Page 160 and 161:
4. Consolidated Odds Tables Startin
Page 162 and 163:
4. Consolidated Odds Tables Hand Af
Page 165 and 166:
5. Odds in Omaha Hi-Lo In a 10-hand
Page 167 and 168:
Starting Hands Your first chance to
Page 169 and 170:
As demonstrated in Chapter 1, The B
Page 171 and 172:
The odds of exactly one pair of Ace
Page 173 and 174:
A2/AK Single Suited to the Ace For
Page 175 and 176:
The number of 3-card combinations t
Page 177 and 178:
The probability of A23 with the Ace
Page 179 and 180:
AA2X Single Suited to A For the Flu
Page 181 and 182:
There are 6 2-card combinations tha
Page 183 and 184:
WILLNOTs (270,629) : WILLs (96) 270
Page 185 and 186:
There are only 2 2-card combination
Page 187 and 188:
Probably Not Playable With the thre
Page 189 and 190:
Before the Flop In both Omaha High
Page 191 and 192:
The Calculations These calculations
Page 193 and 194:
Low hand (2), minus the 6 cards tha
Page 195 and 196:
AA23 >>> Wheel or Aces Full To flop
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From the calculations above, we kno
Page 199 and 200:
Total Possibilities = 17,296 - WILL
Page 201 and 202:
Odds of Flopping an Ace High Flush
Page 203 and 204:
Reduce 13,936 / 3,360 : 3,360/ 3,36
Page 205 and 206:
(24 * 23) = 276 (1 * 2) 276 - 36 =
Page 207 and 208:
(48 * 47) * 6 = 6,768 (1 * 2) Total
Page 209 and 210:
After the Flop Nut Hand or Nut Draw
Page 211 and 212:
1. Whether or not there will be a p
Page 213 and 214:
The Calculations With the Turn card
Page 215 and 216:
21 * 100 = 46.7% 45 Wheel (A2345) D
Page 217 and 218:
Total Possibilities = 45 - WILLs =
Page 219 and 220:
Odds of Turning a Boat or Quads WIL
Page 221 and 222:
The Calculations After the Flop and
Page 223 and 224:
Low Draw with Backup Low Card in th
Page 225 and 226:
164 + 6 = 170 possible 2-card combi
Page 227 and 228:
Flush Draw & Low Draw >>> Flush or
Page 229 and 230:
296 + 28 = 324 possible 2-card comb
Page 231 and 232:
Reduce 812 / 178 : 178 / 178 4.6 :
Page 233 and 234:
Runner — Runner Remember — runn
Page 235 and 236:
830 / 160 : 160 / 160 5.2 : 1 Back
Page 237 and 238:
For each of these 3 sets there are
Page 239 and 240:
Odds of a Runner-Runner 2 Pair or S
Page 241 and 242:
Before the Last Card After the Turn
Page 243 and 244:
The Calculations With one card to c
Page 245 and 246:
2 Pair >>> Full House Reduce 23 / 2
Page 247 and 248:
Open Ended Straight Draw & Flush Dr
Page 249:
The River Bet All the cards are out
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Practical Poker Math

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