The mathematics of games and gambling:
Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Packel, Edward W. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Washington, DC Mathematical Association of America c2006
Ausgabe:2nd ed
Schriftenreihe:Anneli Lax new mathematical library v. 28
Schlagworte:
Online-Zugang:FAW01
FAW02
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Beschreibung:Includes bibliographical references (p. 167-169) and index
Preface to the first edition -- Preface to the second edition -- 1. The phenomenon of gambling -- 1.1. A selective history -- 1.2. The gambler in fact and fiction -- 2. Finite probabilities and great expectations -- 2.1. The probability concept and its origins -- 2.2. Dice, cards, and probabilities -- 2.3. Roulette, probability and odds -- 2.4. Compound probabilities : the rules of the game -- 2.5. Mathematical expectation and its application -- 2.6. Exercises -- 3. Backgammon and other dice diversions -- 3.1. Backgammon oversimplified -- 3.2. Rolling sports and hitting blots -- 3.3. Entering and bearing off -- 3.4. The doubling cube -- 3.5. Craps -- 3.6. Chuck-a-luck -- 3.7. Exercises -- 4. Permutations, combinations, and applications -- 4.1. Careful counting : is order important? -- 4.2. Factorials and other notation -- 4.3. Probabilities in poker -- 4.4. Betting in poker : a simple model -- 4.5. Distributions in bridge -- 4.6. Keno type games-- 47. Exercises -- 5. Play it again Sam : the binomial distribution -- 5.1. Games and repeated trials -- 5.2. The binomial distribution -- 5.3. Beating the odds and the "law" of averages -- 5.4. Betting systems -- 5.5. A brief blackjack breakthrough -- 5.6. Exercises -- 6. Elementary game theory -- 6.1. Games in extensive form -- 6.2. Two-person games in normal form -- 6.3. Zero-sum games -- 6.4. Nonzero-sum games, Nash equilibira and the prisoners' dilemma -- 6.5. Simple n-person games -- 6.6. Power indices -- 6.7. Games computers play -- 6.8. Exercises -- 7. Odds and ends -- 7.1. The mathematics of bluffing and the Texas holdem invasion -- 7.2. Off to the races -- 7.3. Lotteries and your expectation -- 7.4. The gambler's ruin -- Answers/hints for selected exercises -- Bibliography -- Index -- About the author
Beschreibung:1 Online-Ressource (xiv, 175 p.)
ISBN:0883856468
0883859432
9780883856468
9780883859438

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