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Mathematics of The Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette

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Mathematics is the basis of casino games, which are the bedrock of a $100 billion/year industry. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette takes an in-depth look at the four biggest table games in casinos: blackjack, baccarat, craps, and roulette. It guides readers through the mathematical principles that underpin these games and their different variations, providing insights that will be of huge interest to gamblers, casino managers, researchers, and students of mathematics.

Features

  • A valuable teaching resource, replete with exercises, for any course on gambling mathematics
  • Suitable for a wide audience of professionals, researchers, and students
  • Many practical applications for the gambling industry
  • Mark Bollman is Professor of Mathematics and chair of the Department of Mathematics & Computer Science at Albion College in Albion, Michigan, and has taught 116 different courses in his career. Among these courses is "Mathematics of the Gaming Industry," where mathematics majors carefully study the math behind games of chance and travel to Las Vegas, Nevada, in order to compare theory and practice. He has also taken those ideas into Albion's Honors Program in "Great Issues in Humanities: Perspectives on Gambling," which considers gambling from literary, philosophical, and historical points of view as well as mathematically. Mark has also authored Basic Gambling Mathematics: The Numbers Behind the Neon, Mathematics of Keno and Lotteries, and Mathematics of Casino Carnival Games.

    ISBN-13: 9780367740900

    Media Type: Paperback

    Publisher: CRC Press

    Publication Date: 08-20-2021

    Pages: 364

    Product Dimensions: 6.12(w) x 9.19(h) x (d)

    Series: AK Peters/CRC Recreational Mathematics

    Mark Bollman is Professor of Mathematics and chair of the Department of Mathematics & Computer Science at Albion College in Albion, Michigan, and has taught 116 different courses in his career. Among these courses is "Mathematics of the Gaming Industry," where mathematics majors carefully study the math behind games of chance and travel to Las Vegas, Nevada, in order to compare theory and practice. He has also taken those ideas into Albion's Honors Program in "Great Issues in Humanities: Perspectives on Gambling," which considers gambling from literary, philosophical, and historical points of view as well as mathematically. Mark has also authored Basic Gambling Mathematics: The Numbers behind The Neon, Mathematics of Keno and Lotteries, and Mathematics of Casino Carnival Games.

    Table of Contents

    Preface ix

    Acknowledgments xi

    1 Essential Probability 1

    1.1 Elementary Ideas 1

    1.2 Addition and Multiplication Rules 6

    1.3 Combinatorics 11

    1.4 Random Variables and Expected Value 16

    2 Roulette 27

    2.1 Roulette Basics 27

    2.2 History of Roulette 32

    2.3 New Wheels 36

    2.4 Electronic Roulette Games 45

    2.5 Roulette with Cards 54

    2.6 Side Bets 64

    2.7 Roulette Betting Systems 82

    2.8 Exercises 94

    3 Craps 105

    3.1 Craps Basics 106

    3.2 Hazard 116

    3.3 Street Craps 119

    3.4 Crooked Dice 124

    3.5 Controlled Shooting 136

    3.6 Variations 142

    3.7 Card Craps 155

    3.8 Side Bets 167

    3.9 Exercises 184

    4 Baccarat 191

    4.1 Baccarat Basics 191

    4.2 Card Counting in Baccarat 197

    4.3 Variations 204

    4.4 Side Bets 217

    4.5 Exercises 232

    5 Blackjack 239

    5.1 Blackjack Basics 239

    5.2 Basic Strategy 246

    5.3 Card Counting 257

    5.4 Variations 266

    5.5 California Games 284

    5.6 Side Bets 301

    5.7 Exercises 320

    Answers to Selected Exercises 325

    References 333

    Index 345