Mathematics of The Big Four Casino Table Games : Blackjack, Baccarat, Craps, & Roulette book cover
1st Edition

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

  • Available for pre-order. Item will ship after August 13, 2021
ISBN 9780367740900
August 13, 2021 Forthcoming by Chapman and Hall/CRC
360 Pages 43 B/W Illustrations

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Book Description

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.


  • A valuable teaching resource, replete with exercises, for any course of gambling mathematics
  • Suitable for a wide audience of professionals, researchers and students
  • Many practical applications for the gambling industry.

Table of Contents

1. Essential Probability. 1.1. Elementary Ideas. 1.2. Addition and Multiplication Rules. 1.3. Combinatorics. 1.4. Random Variables and Expected Value. 2. Roulette 2.1 Roulette Basics. 2.2. History of Roulette. 2.3. New Wheels. 2.4. Electronic Roulette Games. 2.5. Roulette with Cards. 2.6. Side Bets. 2.7. Roulette Betting Systems. 2.8. Exercises. 3. Craps. 3.1. Craps Basics. 3.2. Hazard. 3.3. Street Craps. 3.4. Crooked Dice. 3.5. Controlled Shooting. 3.6. Variations. 3.7. Card Craps. 3.8. Side Bets. 3.9. Exercises. 4. Baccarat. 4.1. Baccarat Basics. 4.2. Card Counting in Baccarat. 4.3. Variations. 4.4. Side Bets. 4.5. Exercises. 5. Blackjack. 5.1. Blackjack Basics. 5.2. Basic Strategy. 5.3. Card Counting. 5.4. Variations. 5.5. California Games. 5.6. Side Bets. 5.7. Exercises. Answers to Selected Exercises. References.

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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.