Practical Poker Math

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$Poker Math That Matters$

5. Odds in Omaha Hi-Lo 2. Having just 1 backup low card in the hole raises your probability of making the Low with only 1 card to come from 36% to 48% 3. While some of the odds seem quite favorable, a player strong in only 1 direction should remember that most of the time he will be playing for only half the pot. Here is a table that shows the odds of improving certain common drawing hands on the last card: Hand – Draw Make on Last Card Odds Low Draw Low 1.75 : 1 Low Draw with Backup Low Card in the Hole Low 1.1 : 1 Low Draw & Flush Draw Low or Flush 1.1 : 1 2 Pair Full House 10 : 1 Open Ended Straight Draw Straight 4.5 : 1 Gut-Shot Straight Draw Straight 10 : 1 Flush Draw Flush 3.9 : 1 Flush Draw & Open Straight Draw Straight or Flush 1.9 : 1 1 Pair & Flush Draw Set or Flush 3 : 1 Open Straight Flush Draw Straight Flush 21 : 1 4 Unpaired Hole Cards Pair Any Hole Card 2.7 : 1 224
The Calculations With one card to come, the odds calculation for the various hands is straightforward. The only number that changes is the number of outs. After the Turn card has hit the board, there are 4 cards in the hole, 4 on the board and 44 unseen cards. Total Possibilities = 44 Total Possibilities – WILLs (Outs) = WILLNOTs Low Draw >>> Low Odds = WILLNOTs : WILLs (Outs) With a Low draw there are 16 cards from 4 ranks that can come on the River to make the Low: Total Possibilities = 44 – WILLs = 16 WILLNOTs = 28 Odds of Making a Low WILLNOTs : WILLs 28 : 16 Reduce 28 / 16 : 16 / 16 1.75 : 1 WILLs * 100 = Probability as % Total Possibilities 16 * 100 = 36% 44 225 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
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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
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Starting Hands Your first chance to
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As demonstrated in Chapter 1, The B
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The odds of exactly one pair of Ace
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A2/AK Single Suited to the Ace For
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The number of 3-card combinations t
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The probability of A23 with the Ace
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AA2X Single Suited to A For the Flu
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There are 6 2-card combinations tha
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WILLNOTs (270,629) : WILLs (96) 270
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There are only 2 2-card combination
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Probably Not Playable With the thre
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Before the Flop In both Omaha High
Page 191 and 192: The Calculations These calculations
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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 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: Before the Last Card After the Turn
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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