Practical Poker Math

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3. Odds in Texas Hold’em still 9 cards among the unseen 46 that will complete the Flush: Total Possibilities = 46 – WILLs = 9 WILLNOTs = 37 Odds of Making a Flush with a 4-Flush WILLNOTs : WILLs 37 : 9 Reduce 37 / 9 : 9 / 9 4.11 : 1 Open Straight Draw & 4 Flush >>> Straight or Flush With an open ended Straight draw there are 8 outs to the Straight. With a 4 Flush there are 9 cards that will make the Flush. Because 2 of these cards will make both the Straight and the Flush there are 9 + 8 – 2 = 15 outs to either the Straight or the Flush: Total Possibilities = 46 – WILLs = 15 WILLNOTs = 31 Odds of Making a Straight or a Flush WILLNOTs : WILLs 31 : 15 Reduce 31 / 15 : 15 / 15 2.06 : 1 130
Pair & Open Straight Draw >>> Straight or Set With a Pair and an open Straight draw there are 10 cards that will make either a Straight or a Set: Total Possibilities = 46 – WILLs = 10 WILLNOTs = 36 Odds of Making a Set or Straight with a Pair & Open Straight Draw WILLNOTs : WILLs 36 : 10 Reduce 36 / 10 : 10 / 10 3.6 : 1 Pair & 4 Flush >>> Flush or Set With a Pair and a Flush draw there are 11 cards that will make either a Flush or a Set: Total Possibilities = 46 – WILLs = 11 WILLNOTs = 35 Odds of Making a Flush or Set WILLNOTs : WILLs 35 : 11 Reduce 35 / 11 : 11 / 11 3.18 : 1 131 Before the Last Card
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Practical Poker Math By Pat Dittmar
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Thanks to some Friends for their la
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Table of Contents Preface . . . . .
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Odds with 2 Cards to Come . . . . .
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This is not perfect knowledge. It i
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Practical Poker Math The first aim
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1. Introduction to Game Theory in P
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2. The Basic Calculations Total Pos
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2. The Basic Calculations Another w
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2. The Basic Calculations Combinati
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2. The Basic Calculations This can
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2. The Basic Calculations 52 * 51 =
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2. The Basic Calculations pot odds
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2. The Basic Calculations Total Odd
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2. The Basic Calculations Odds in T
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2. The Basic Calculations number of
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2. The Basic Calculations sible fro
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2. The Basic Calculations Open Ende
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2. The Basic Calculations Odds of a
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2. The Basic Calculations After the
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2. The Basic Calculations The odds
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2. The Basic Calculations (48 * 47
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2. The Basic Calculations After the
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2. The Basic Calculations Therefore
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2. The Basic Calculations Before th
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3. Odds in Texas Hold’em ♦ The
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3. Odds in Texas Hold’em the arti
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3. Odds in Texas Hold’em In a ful
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3. Odds in Texas Hold’em The tabl
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3. Odds in Texas Hold’em Pocket A
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3. Odds in Texas Hold’em WILLNOTs
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3. Odds in Texas Hold’em 54 1,326
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3. Odds in Texas Hold’em Axs Comb
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3. Odds in Texas Hold’em 2 Big Ca
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3. Odds in Texas Hold’em Among th
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3. Odds in Texas Hold’em consider
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3. Odds in Texas Hold’em Before t
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3. Odds in Texas Hold’em 1 * 100
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3. Odds in Texas Hold’em Starting
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3. Odds in Texas Hold’em the pock
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3. Odds in Texas Hold’em Odds of
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3. Odds in Texas Hold’em rank, th
Page 98 and 99: 3. Odds in Texas Hold’em 39 * 55
Page 100 and 101: 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
Page 116 and 117: 3. Odds in Texas Hold’em Pair >>>
Page 118 and 119: 3. Odds in Texas Hold’em Open Str
Page 120 and 121: 3. Odds in Texas Hold’em Set >>>
Page 122 and 123: 3. Odds in Texas Hold’em After th
Page 124 and 125: 3. Odds in Texas Hold’em Odds of
Page 126 and 127: 3. Odds in Texas Hold’em Open Str
Page 128 and 129: 3. Odds in Texas Hold’em (10 * 9)
Page 130 and 131: 3. Odds in Texas Hold’em 172 + 2
Page 132 and 133: 3. Odds in Texas Hold’em Runner -
Page 134 and 135: 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
Page 140 and 141: 3. Odds in Texas Hold’em 2 Unpair
Page 142 and 143: 3. Odds in Texas Hold’em Thus of
Page 144 and 145: 3. Odds in Texas Hold’em Odds of
Page 146 and 147: 3. Odds in Texas Hold’em 2 Pair >
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
Page 197 and 198: From the calculations above, we kno
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Total Possibilities = 17,296 - WILL
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Odds of Flopping an Ace High Flush
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Reduce 13,936 / 3,360 : 3,360/ 3,36
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(24 * 23) = 276 (1 * 2) 276 - 36 =
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(48 * 47) * 6 = 6,768 (1 * 2) Total
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After the Flop Nut Hand or Nut Draw
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1. Whether or not there will be a p
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The Calculations With the Turn card
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21 * 100 = 46.7% 45 Wheel (A2345) D
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Total Possibilities = 45 - WILLs =
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Odds of Turning a Boat or Quads WIL
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The Calculations After the Flop and
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Low Draw with Backup Low Card in th
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164 + 6 = 170 possible 2-card combi
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Flush Draw & Low Draw >>> Flush or
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296 + 28 = 324 possible 2-card comb
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Reduce 812 / 178 : 178 / 178 4.6 :
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Runner — Runner Remember — runn
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830 / 160 : 160 / 160 5.2 : 1 Back
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For each of these 3 sets there are
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Odds of a Runner-Runner 2 Pair or S
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Before the Last Card After the Turn
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The Calculations With one card to c
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2 Pair >>> Full House Reduce 23 / 2
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Open Ended Straight Draw & Flush Dr
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The River Bet All the cards are out
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Practical Poker Math

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