The Math of Hold'em

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ISBN: 9780984619429 | 0984619429
Cover: Paperback
Copyright: 5/25/2011

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Winning big at hold'em requires practical math knowledge, which is precisely what this book will teach you. The ability to make quick and accurate mathematical decisions is crucial for your winnings at the table. The mission of this book is to drill these important poker math skills into you, giving you a distinct advantage over the other players at your table.

Introduction	p. 16
The Fundamentals	p. 18
Introduction	p. 19
Pot Odds	p. 20
Expected Value	p. 22
Expected Value in Poker	p. 25
Relative Expected Value	p. 26
Definition of+EV	p. 27
Drilling Down	p. 28
Conclusion	p. 31
Effective Stack Depth	p. 32
Counting Hand Combinations	p. 35
Basic Probabilities	p. 40
Pre-flop	p. 40
Ranges	p. 41
Flop	p. 45
Hitting the Flop	p. 46
Dangerous Ranks	p. 50
River	p. 52
Outs to Percentages	p. 54
2-to-4 Rule	p. 59
Backdoor Draws and Redraws	p. 61
Winning without Improving	p. 63
Percentages to Odds	p. 65
Calling Decisions Based on Outs, Odds, and Percentages	p. 67
Implied Odds	p. 71
Reverse Implied Odds	p. 76
Hot and Cold Equity	p. 79
Pre-flop Match-Ups	p. 80
Ranges	p. 84
Re-steals	p. 86
Post-flop	p. 89
Domination	p. 89
Overpairs	p. 90
Draws	p. 91
Overcards	p. 97
Sets	p. 98
Miscellaneous Examples	p. 100
Post-flop Equity vs. Ranges	p. 102
Post-flop Equity Against Random Hands	p. 105
Other Factors	p. 108
Conditional Probability and Bayes' Theorem	p. 109
Sklansky Dollar Accounting	p. 112
Traps	p. 116
Advanced Expected Value	p. 118
Introduction	p. 119
Equity Against a Pre-flop Range	p. 120
Equity Against a Post-flop Range	p. 123
Making the Fold or Call Decision	p. 126
EV of Value Bets and Bluffs	p. 133
Determining the EV of a Semibluff All-in	p. 141
Pre-flop	p. 145
Showing an Immediate Profit	p. 148
Later Profit	p. 155
Metagame Math	p. 156
Split-Pot Math	p. 158
More Expected Value Examples	p. 163
Common Mistakes	p. 165
Using a Bad Baseline	p. 166
The Sunk-Cost Fallacy	p. 167
Philosophy	p. 168
Game Theory	p. 171
Introduction	p. 172
Rock-Paper-Scissors (Roshambo)	p. 173
Nash Equilibrium	p. 174
Note of Caution	p. 175
Sequential Rock-Paper-Scissors	p. 176
The Game of Chicken	p. 177
Sequential Chicken	p. 177
The Bluffing Game	p. 180
Basic Bluffing Game	p. 181
Drilling Down	p. 182
Deviations	p. 183
Mixed Strategies in Models, but Pure Strategies	p. 184
Bettor Strength	p. 186
Bet Size	p. 190
Bluffing in No-Limit	p. 191
Caller Strength	p. 192
Showdown Value	p. 196
Value Bluffs	p. 198
Bluffing Two Streets	p. 199
Choosing a Bet Size	p. 201
Bluffing Three Streets	p. 203
Complications	p. 205
Conclusion	p. 209
Tournaments	p. 211
Introduction	p. 212
Blind Levels	p. 215
High Blinds	p. 215
Medium Blinds	p. 217
Low Blinds	p. 218
Adjusting to Future Blind Increases	p. 219
Re-stealing	p. 220
Tournament Equity	p. 225
Independent Chip Model (Icm)	p. 226
Sit-and-go Tournaments	p. 228
Calling Pushes/Bubble Math	p. 232
Converting Chips to Cash Heads Up	p. 240
Adjusting for the Antes	p. 241
Effective Big Binds	p. 242
Heads-Up Push/Fold Strategies	p. 246
Zare's Golden Rule	p. 255
Satellites	p. 258
Statistics and Variance	p. 262
Introduction	p. 263
Standard Deviation	p. 264
Standard Deviations in Poker	p. 265
Central Limit Theorem	p. 267
The Long Run	p. 272
How Rapidly do Statistics Converge?	p. 275
Downswings	p. 281
Looking Backwards	p. 283
Downswing Formulas	p. 284
Bankroll Management	p. 286
For Winning Players Only	p. 287
Goals	p. 288
Psychology	p. 288
Kelly Criterion	p. 289
The Key Bankroll Formula	p. 291
Applying the Key Formula	p. 291
Instantaneous Risk of Ruin	p. 294
Moving Up	p. 295
Stages	p. 296
Calculations	p. 298
Splitting Tables across Stakes	p. 300
Multitabling	p. 301
Flawed Bankroll Management Ideas	p. 303
Fixed Number of Buy-ins	p. 303
Stop-Losses	p. 304
Anecdotal Downswings	p. 305
Crucial Hold'em Mathematical Concepts	p. 307
Introduction	p. 308
Beating the Rake	p. 309
Cash Games	p. 311
Sets	p. 313
What Can Go Wrong?	p. 314
Not Getting to See a Flop	p. 315
Behind with Flopped Set	p. 315
Not Getting Paid Off	p. 316
Being Outdrawn	p. 317
Ideal Conditions	p. 318
Favorable Conditions	p. 319
The 5-10 Rule	p. 321
Curtis vs. Farha Revisited	p. 322
Set-Mining Tips	p. 322
Combating Set-Miners	p. 323
Hit-to-Win Math	p. 326
When Fit-or-Fold is Correct	p. 329
Logic	p. 331
Math versus Instincts	p. 337
The Free Card Play	p. 343
Bet-Sizing	p. 349
Software	p. 355
Introduction	p. 356
Poker Equity Calculators	p. 357
Hold'em Manager (Hem)	p. 361
Heads-Up Display	p. 361
Results Tracking	p. 362
Database Analysis	p. 363
Finding Leaks using Software	p. 365
Extreme or Happy Medium	p. 366
Aggregated Statistics	p. 368
Averages vs. Totals	p. 368
Linked Categories	p. 369
Linked Statistics	p. 370
Blinds	p. 370
Social Statistics	p. 371
Cardrunners Ev	p. 372
Icm Explorer	p. 375
SitNGoWizard	p. 381
Note of Caution	p. 387
Nash Equilibrium Calculator	p. 388
Sharkscope	p. 392
Appendix- Hand Rankings	p. 395
Table of Contents provided by Ingram. All Rights Reserved.

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The Math of Hold'em

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Author Biography

Table of Contents

Supplemental Materials