The mathematics of games and gambling


by Edward W. Packel.
Bok Engelsk 2006 · Electronic books.
Utgitt
Washington, DC : : Mathematical Association of America, , c2006.
Omfang
1 online resource (190 p.)
Utgave
2nd ed.
Opplysninger
Description based upon print version of record.. - ""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface to the First Edition""; ""Preface to the Second Edition""; ""Acknowledgements and Dedication""; ""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 spots 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""; ""4.7 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 What is game theory?""; ""6.2 Games in extensive form""; ""6.3 Two-person games in normal form""; ""6.4 Zero-sum games""; ""6.5 Nonzero-sum games, Nash equilibria and the prisoners� dilemma""; ""6.6 Simple n-person games""; ""6.7 Power indices""; ""6.8 Games computers play""; ""6.9 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""; ""References from the text""; ""Other relevant works not referenced directly in the text""; ""Selected references and web links on specific games and activities""; ""Index""; ""About the Author""
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Dewey
ISBN
0883856468

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The mathematics of games and gambling
by Edward W. Packel

Bok · Engelsk · 1981

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