Description
Book SynopsisThe goal for this textbook is to complement the inquiry-based learning movement. According to the author, concepts and ideas will stick with the reader more when they are motivated in an interesting way. Topics are presented mathematically as questions about the games themselves are posed.
Table of Contents1. Mathematics and Probability. 1.1. Introduction. 1.2. About Mathematics. 1.3. Probability. 1.4. Candy (Yum)! 1.5. Exercises. 2. Roulette and Craps: Expected Value. 2.1. Roulette. 2.2. Summations. 2.3. Craps. 2.4. Exercises. 3. Counting: Poker Hands. 3.1. Cards and Counting. 3.2. Seven Card Pokers. 3.3. Texas Hold'Em. 3.4. Exercises. 4. More Dice: Counting and Combinations, and Statistics. 4.1. Liar's Dice. 4.2. Arkham Horror. 4.3. Yahtzee. 4.4. Exercises. 5. Game Theory: Poker Bluffing and Other Games. 5.1. Bluffing. 5.2. Game Theory Basics. 5.3. Non-Zero Sum Games. 5.4. Three-Player Game Theory. 5.5. Exercises. 6. Probability/Stochastic Matrices: Board Game Movement. 6.1. Board Game Movement. 6.2. Pay Day (The Board Game). 6.3. Monopoly. 6.4. Spread, Revisited. 6.5. Exercises. 7. Sports Mathematics: Probability Meets Athletics. 7.1. Sports Betting. 7.2. Game Theory and Sports. 7.3. Probability Matrices and Sports. 7.4. Winning a Tennis Tournament. 7.5. Repeated Play: Best of Seven. 7.6. Exercises 8. Blackjack: Previous Methods Revisited. 8.1. Blackjack. 8.2. Blackjack Variants. 8.3. Exercises. 9. A Mix of Other Games. 9.1. The Lottery. 9.2. Bingo. 9.3. Uno. 9.4. Baccarat. 9.5. Farkle. 9.6. Scrabble. 9.7. Backgammon. 9.8. Memory. 9.9. Zombie Dice. 9.10. Exercises. 10. Betting Systems: Can You Beat the System? 10.1. Betting Systems. 10.2. Gambler's Ruin. 10.3. Exercises. 11. Potpourri: Assorted Adventures in Probability. 11.1. True Randomness? 11.2. Three Dice "Craps". 11.3. Counting "Fibonacci" Coins "Circularly". 11.4. Compositions and Probabilities. 11.5. Sicherman Dice. 11.6. Traveling Salesmen. 11.7. Random Walks and Generating Functions. 11.8. More Probability! Appendices. Index.
