## Mathematics of Games and GamblingThe new edition of a favourite which introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, craps, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: • Sports betting and the mathematics behind it • Game theory applied to bluffing in poker and related to the 'Texas Holdem phenomenon' • The Nash equilibrium concept and its emergence in popular culture • Internet links to games and Java applets for practice and classroom use. Game-related exercises are included and solutions to some appear at the end of the book. |

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### Contents

The Phenomenon of Gambling | 1 |

Finite Probabilities and Great Expectations | 13 |

Backgammon and Other Dice Diversions | 29 |

The Binomial Distribution | 91 |

Elementary Game Theory | 99 |

Odds and Ends | 135 |

167 | |

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amount analysis answer apply assume backgammon bets bettor binomial blackjack calculations cards casino chance Chapter choose column combinations compute consider counting craps dealt dice discuss distribution dollar double draw drawn drop edge equally example Exercise expectation fact Figure final flush four gambler gambling game theory given gives hand holding horse idea important indicated initial inner interesting involving Jacks leave lose losses lottery match mathematical move obtain occur odds opponent opponent's optimal overall pair pass payoff pieces play player poker position possible probability problem question rational reader reasoning remaining repeated requires roll roulette royal flush rules simple single situations solution specific stake straight strategy success suit Table ticket tree turn types units various wheel