Basic Gambling Mathematics
The Numbers Behind the Neon, Second Edition
2nd Edition
Published on 31. August 2023
Book
Hardback
310 pages
978-1-032-41461-4 (ISBN)
Description
Basic Gambling Mathematics: The Numbers Behind the Neon, Second Edition explains the mathematics involved in analyzing games of chance, including casino games, horse racing and other sports, and lotteries. The book helps readers understand the mathematical reasons why some gambling games are better for the player than others. It is also suitable as a textbook for an introductory course on probability.
Along with discussing the mathematics of well-known casino games, the author examines game variations that have been proposed or used in actual casinos. Numerous examples illustrate the mathematical ideas in a range of casino games while end-of-chapter exercises go beyond routine calculations to give readers hands-on experience with casino-related computations.
New to the Second Edition
Thorough revision of content throughout, including new sections on the birthday problem (for informal gamblers) and the Monty Hall problem, as well as an abundance of fresh material on sports gambling
Brand new exercises and problems
A more accessible level of mathematical complexity, to appeal to a wider audience.
Along with discussing the mathematics of well-known casino games, the author examines game variations that have been proposed or used in actual casinos. Numerous examples illustrate the mathematical ideas in a range of casino games while end-of-chapter exercises go beyond routine calculations to give readers hands-on experience with casino-related computations.
New to the Second Edition
Thorough revision of content throughout, including new sections on the birthday problem (for informal gamblers) and the Monty Hall problem, as well as an abundance of fresh material on sports gambling
Brand new exercises and problems
A more accessible level of mathematical complexity, to appeal to a wider audience.
Reviews / Votes
Praise for the First Edition"This book successfully transforms an already fun topic into an even more enjoyable read."
-Mathematical Reviews, MAA
"This is a fantastic guide to gambling math, both for the beginner and the experienced gambler (or mathematician). As Bollman's math proves, there's rarely a sure bet, but Basic Gambling Mathematics comes pretty close."
-David G. Schwartz, University of Nevada, Las Vegas, USA
"Basic Gambling Mathematics: The Numbers Behind the Neon is a must-have book for anyone interested in gambling mathematics. It not only covers all of the most popular casino games (blackjack, craps, roulette, keno), but is also a treasure trove of fascinating variants and novel games from casinos all over the world."
-Mike Ferrara, University of Colorado Denver, USA
More details
Series
Edition
2nd edition
Language
English
Place of publication
London
United Kingdom
Target group
Professional and scholarly
General and Professional Practice & Development
Illustrations
38 s/w Abbildungen, 13 s/w Photographien bzw. Rasterbilder, 25 s/w Zeichnungen, 84 s/w Tabellen
84 Tables, black and white; 25 Line drawings, black and white; 13 Halftones, black and white; 38 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 22 mm
Weight
652 gr
ISBN-13
978-1-032-41461-4 (9781032414614)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
08/2023
2nd Edition
Taylor & Francis
€73.99
Available for download
Book
08/2023
2nd Edition
Taylor & Francis
€80.00
Shipment within 10-20 days
E-Book
08/2023
2nd Edition
Taylor & Francis
€73.99
Available for download
Previous edition
Book
07/2017
1st Edition
CRC Press
€267.41
Article exhausted; check for reprint
Person
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 Mathematics of Keno and Lotteries, Mathematics of Casino Carnival Games, and Mathematics of The Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
Content
1. Fundamental Ideas. 1.1. Historical Background. 1.2. Mathematical Background. 1.3. Definitions. 1.4. Axioms of Probability. 1.5. Elementary Counting Arguments. 1.6. Exercises. 2. Combinatorics and Probability. 2.1. Advanced Counting Arguments. 2.2. Odds. 2.3. Addition Rules. 2.4. Multiplication Rules and Conditional Probability. 2.5. Exercises. 3. Probability Distributions and Expectation. 3.1. Random Variables. 3.2. Expected Value and House Advantage. 3.3. Binomial Distribution. 3.4. Exercises. 4. Modified Casino Games. 4.1. Wheel Games. 4.2. Dice Games. 4.3. Card Games. 4.4. Casino Promotions. 4.5. Exercises. 5. Blackjack: The Mathematical Exception. 5.1. Rules of Blackjack. 5.2. Mathematics of Blackjack. 5.3. Basic Strategy. 5.4. Introduction to Card Counting. 5.5. Additional Topics in Card Counting. 5.6. Exercises. 6. Betting Strategies: Why They Don't Work. 6.1. Roulette Strategies. 6.2. Craps Strategies. 6.3. Slot Machine Strategies. 6.4. And One That Does: Lottery Strategies. 6.5. How To Double Your Money. 6.6. Exercises. Appendix A: House Advantages. Answers to Selected Exercises.