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

(Albion College, Albion, Michigan, USA)
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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 Albions 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.

Recenzijas

"It it is a handbook on different variants of the casino and electronic games, with locations of casino where a particular version is played. All topics are explained in detailed numerical calculations of probabilities and expectations, presented in tables of results, illustrations, and exercises. The gambling in casino and online is estimated at about $100 billion per year industry, and the book studies it from the mathematics and theory of probability points of view. Casino managers can use it to a deeper insight into the games, players can get a better understanding of their favorite games to help them to develop their own strategies, and instructors and students can see it as a valuable manual on gambling mathematics." - Technometrics

"This is an extremely well-organized book. It is logically structured, with information that is easy to find.

I think there is [ a real need for this book]. These are four very important games that make (and can cost) casinos a lot of money, and they need to be better understood.

There are three major markets for this book: academics, casino managers, and casino players, with a smaller fourth market of game inventors. Academics can use it in courses dealing with casino management (see below). Casino managers will use it to better ground their understanding of the games. I think that Bollmans generous inclusion of historical promotionssome of which lasted only brieflywill be extremely helpful to managers. Casual casino players will like it because it will give them insight into their favourite games, and advantage players will read it to assist with their own strategy and analysis." David G. Schwartz, University of Nevada, Las Vegas

"After a brief introduction to elementary probability, this book explores many more variations on the big four than I could have imagined to exist, plus numerous side bets. Examples and exercises abound throughout." Mathematics Magazine, MAA

Preface ix
Acknowledgments xi
1 Essential Probability
1(26)
1.1 Elementary Ideas
1(5)
1.2 Addition and Multiplication Rules
6(5)
1.3 Combinatorics
11(5)
1.4 Random Variables and Expected Value
16(11)
2 Roulette
27(78)
2.1 Roulette Basics
27(5)
2.2 History of Roulette
32(4)
2.3 New Wheels
36(9)
2.4 Electronic Roulette Games
45(9)
2.5 Roulette with Cards
54(10)
2.6 Side Bets
64(18)
2.7 Roulette Betting Systems
82(12)
2.8 Exercises
94(11)
3 Craps
105(86)
3.1 Craps Basics
106(10)
3.2 Hazard
116(3)
3.3 Street Craps
119(5)
3.4 Crooked Dice
124(12)
3.5 Controlled Shooting
136(6)
3.6 Variations
142(13)
3.7 Card Craps
155(12)
3.8 Side Bets
167(17)
3.9 Exercises
184(7)
4 Baccarat
191(48)
4.1 Baccarat Basics
191(6)
4.2 Card Counting in Baccarat
197(7)
4.3 Variations
204(13)
4.4 Side Bets
217(15)
4.5 Exercises
232(7)
5 Blackjack
239(86)
5.1 Blackjack Basics
239(7)
5.2 Basic Strategy
246(11)
5.3 Card Counting
257(9)
5.4 Variations
266(18)
5.5 California Games
284(17)
5.6 Side Bets
301(19)
5.7 Exercises
320(5)
Answers to Selected Exercises 325(8)
References 333(12)
Index 345
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.