Practical Poker Math

More documents

Recommendations

Info

$Poker Math That Matters$

5. Odds in Omaha Hi-Lo Odds of Making a Gut-Shot Straight with 2 Cards to Come WILLNOTs : WILLs 820 : 170 Reduce 820 / 170 : 170 / 170 4.8 : 1 2 Pair >>> Full House or Quads With 2 pair, assuming no pairs in the hole, there are 4 cards, any one of which will make a Full House or Quads. 4 of the unseen 45 cards will make the hand and 41 will not. 4 * 41 = 164 is the number of 2-card combinations, one card of which will make the Boat. Comb(4, 2) is the number of 2-card combinations that contain 2 cards either of which make the Boat or Quads: (4 * 3) = 6 (1 * 2) In addition there are 8 pairs that can also make the Boat. 164 + 6 + 8 = 178 possible 2-card combinations that WILL make the Boat or Quads: Total Possibilities = 990 – WILLs = 178 WILLNOTs = 812 Odds of making a Full Boat or Quads with 2 Cards to Come WILLNOTs : WILLs 812 : 178 212
Reduce 812 / 178 : 178 / 178 4.6 : 1 Set >>> Full House or Quads With a Set involving a pair in the hole and 45 unseen cards, there are 7 cards that will make a Boat or Quads and 38 will not. 7 * 38 = 266 is the number of 2-card combinations, one card of which will make the Boat or Quads. Comb(7, 2) is the number of 2-card combinations that contain 2 cards, either of which will make the Boat or Quads: (7 * 6) = 21 (1 * 2) In addition, there are 54 different pairs that can come in the last 2 cards to make the Full House. 266 + 21 + 54 = 341 possible 2-card combinations that WILL make the Boat or Quads: Total Possibilities = 990 – WILLs = 341 WILLNOTs = 649 Odds of making a Full Boat or Quads with 2 Cards to Come WILLNOTs : WILLs 649 : 341 Reduce 649 / 341 : 341 / 341 1.9 : 1 213 After the Flop
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 and 12:
Table of Contents Preface . . . . .
Page 13:
Odds with 2 Cards to Come . . . . .
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 22 and 23:
Page 24 and 25:
Page 26 and 27:
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
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:
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:
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
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: 296 + 28 = 324 possible 2-card comb
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
show all

Practical Poker Math

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?