Intermediate Poker Mathematics

1. Counting The Cards. 1.1. Poker Hands. 1.2. Elementary Probability Through Texas Hold'Em. 1.3. Combinatorics. 1.4. Counting 5-Card Hands. 1.5. Lowball Hands. 1.6. Wild Cards. 1.7. Random Variables. 1.8. Betting. 1.9. Exercises. 2. Stud Poker. 2.1. 5-Card Stud. 2.2. 7-Card Stud. 2.3. Razz. 2.4. Exercises. 3. Draw Poker. 3.1. Introduction. 3.2. Gameplay Considerations. 3.3. Lowball Draw Games. 3.4. Italian Poker. 3.5. Draw Poker at Home. 3.6. Poker Dice. 3.7. Exercises. 4. Texas Hold'Em and Its Variants. 4.1. Basic Gameplay. 4.2. Different Decks. 4.3. Omaha. 4.4. Pineapple Poker. 4.5. Prop Bets. 4.6. Exercises. 5. Advanced Card Counting. 5.1. Why Five?. 5.2. Hand Rankings Revisited. 5.3. Extra Possibilities. 5.4. Historical Games. 5.5. Alternate Decks. 5.6. Deck Composition More Generally. 5.7. Exercises. 6. Beyond Hold'Em. 6.1. Lowball Games. 6.2. Division Games. 6.3. Stud Games. 6.4. Exercises. 7. Poker-Based Carnival Games. 7.1. Hold'Em Derivatives. 7.2. Stud Poker Variations. 7.3. Division Carnival Games. 7.4. Three Card Poker. 7.5. Four Card Poker. 7.6. California Games. 7.7. Exercises. 8. Video Poker. 8.1. Basic Gameplay. 8.2. Variations. 8.3. Optimal Strategy. 8.4. Additional Game Options. 8.5. Exercises. A. Elementary Probability Formulas.