Practical Poker Math

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$Poker Math That Matters$

5. Odds in Omaha Hi-Lo Odds of Turning a Flush or a Straight or a Low WILLNOTs : WILLs 18 : 27 Reduce 18 / 27 : 27 / 27 .67 : 1 WILLs * 100 = Probability as % Total Possibilities 2 Pair >>> Full House 27 * 100 = 60% 45 There are 4 cards that will make a Full House with 2 Pair: Total Possibilities = 45 – WILLs = 4 WILLNOTs = 41 Odds of Turning a Full Boat WILLNOTs : WILLs 41 : 4 Reduce 41 / 4 : 4 / 4 10.3 : 1 3 of a Kind >>> Full House or Quads There are 7 cards that will turn a Boat or Quads with a Set involving a pair in the hole: Total Possibilities = 45 – WILLs = 7 WILLNOTs = 38 200
Odds of Turning a Boat or Quads WILLNOTs : WILLs 38 : 7 Reduce 38 / 7 : 7 / 7 5.4 : 1 Turn Card Will Pair the Board There are 9 cards that will pair one of the 3 board cards: Total Possibilities = 45 – WILLs = 9 WILLNOTs = 36 Odds of Pairing the Board WILLNOTs : WILLs 36 : 9 Reduce 36 / 9 : 9 / 9 4 : 1 Odds with 2 Cards to Come With 2 cards to come there are 4 possibilities: 1. You will hit none of your outs on either card 2. You will hit one of your outs on the Turn 3. You will hit one of your outs on the River 4. You will hit one of your outs on the Turn and another on the River. The most liberal of these calculations figures the odds of hit- 201 After the Flop
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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
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3. Odds in Texas Hold’em 39 * 55
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3. Odds in Texas Hold’em After yo
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3. Odds in Texas Hold’em Suited C
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3. Odds in Texas Hold’em Total Po
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3. Odds in Texas Hold’em 2 Big Ca
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3. Odds in Texas Hold’em with AJ
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3. Odds in Texas Hold’em 2 Unpair
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3. Odds in Texas Hold’em ♦ Like
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3. Odds in Texas Hold’em must hav
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3. Odds in Texas Hold’em Pair >>>
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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
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3. Odds in Texas Hold’em Open Str
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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 >
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3. Odds in Texas Hold’em For each
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3. Odds in Texas Hold’em With onl
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3. Odds in Texas Hold’em 2 Unpair
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3. Odds in Texas Hold’em Thus of
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3. Odds in Texas Hold’em 2 Pair >
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3. Odds in Texas Hold’em still 9
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3. Odds in Texas Hold’em Open End
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3. Odds in Texas Hold’em 2. The g
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4. Consolidated Odds Tables Texas H
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4. Consolidated Odds Tables After t
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4. Consolidated Odds Tables After T
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4. Consolidated Odds Tables Startin
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4. Consolidated Odds Tables Hand Af
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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
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: Total Possibilities = 45 - WILLs =
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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