Mathematics in Games, Sports, and Gambling

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Author :
Publisher : CRC Press
ISBN 13 : 1498719538
Total Pages : 376 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Mathematics in Games, Sports, and Gambling by : Ronald J. Gould

Download or read book Mathematics in Games, Sports, and Gambling written by Ronald J. Gould and published by CRC Press. This book was released on 2015-10-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla

The Mathematics of Games and Gambling

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Author :
Publisher : American Mathematical Society
ISBN 13 : 147046862X
Total Pages : 174 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Mathematics of Games and Gambling by : Edward Packel

Download or read book The Mathematics of Games and Gambling written by Edward Packel and published by American Mathematical Society. This book was released on 2022-01-19 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was reprinted eight times. This book introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing, etc.) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: sports betting and the mathematics behind it; Game theory applied to bluffing in poker and related to the Texas Holdem phenomenon; The Nash equilibrium concept and its emergence in the popular culture; Internet links to games and to Java applets for practice and classroom use. The only formal mathematics background the reader needs is some facility with high school algebra. Game-related exercises are included at the end of most chapters for readers interested in working with and expanding ideas treated in the text. Solutions to some of the exercises appear at the end of the book.

Games, Gambling, and Probability

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Author :
Publisher : CRC Press
ISBN 13 : 1000400204
Total Pages : 516 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Games, Gambling, and Probability by : David G. Taylor

Download or read book Games, Gambling, and Probability written by David G. Taylor and published by CRC Press. This book was released on 2021-06-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many experiments have shown the human brain generally has very serious problems dealing with probability and chance. A greater understanding of probability can help develop the intuition necessary to approach risk with the ability to make more informed (and better) decisions. The first four chapters offer the standard content for an introductory probability course, albeit presented in a much different way and order. The chapters afterward include some discussion of different games, different "ideas" that relate to the law of large numbers, and many more mathematical topics not typically seen in such a book. The use of games is meant to make the book (and course) feel like fun! Since many of the early games discussed are casino games, the study of those games, along with an understanding of the material in later chapters, should remind you that gambling is a bad idea; you should think of placing bets in a casino as paying for entertainment. Winning can, obviously, be a fun reward, but should not ever be expected. Changes for the Second Edition: New chapter on Game Theory New chapter on Sports Mathematics The chapter on Blackjack, which was Chapter 4 in the first edition, appears later in the book. Reorganization has been done to improve the flow of topics and learning. New sections on Arkham Horror, Uno, and Scrabble have been added. Even more exercises were added! The goal for this textbook is to complement the inquiry-based learning movement. In my mind, concepts and ideas will stick with the reader more when they are motivated in an interesting way. Here, we use questions about various games (not just casino games) to motivate the mathematics, and I would say that the writing emphasizes a "just-in-time" mathematics approach. Topics are presented mathematically as questions about the games themselves are posed. Table of Contents Preface 1. Mathematics and Probability 2. Roulette and Craps: Expected Value 3. Counting: Poker Hands 4. More Dice: Counting and Combinations, and Statistics 5. Game Theory: Poker Bluffing and Other Games 6. Probability/Stochastic Matrices: Board Game Movement 7. Sports Mathematics: Probability Meets Athletics 8. Blackjack: Previous Methods Revisited 9. A Mix of Other Games 10. Betting Systems: Can You Beat the System? 11. Potpourri: Assorted Adventures in Probability Appendices Tables Answers and Selected Solutions Bibliography Biography Dr. David G. Taylor is a professor of mathematics and an associate dean for academic affairs at Roanoke College in southwest Virginia. He attended Lebanon Valley College for his B.S. in computer science and mathematics and went to the University of Virginia for his Ph.D. While his graduate school focus was on studying infinite dimensional Lie algebras, he started studying the mathematics of various games in order to have a more undergraduate-friendly research agenda. Work done with two Roanoke College students, Heather Cook and Jonathan Marino, appears in this book! Currently he owns over 100 different board games and enjoys using probability in his decision-making while playing most of those games. In his spare time, he enjoys reading, cooking, coding, playing his board games, and spending time with his six-year-old dog Lilly.

Mathematics in Games, Sports, and Gambling

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Publisher : CRC Press
ISBN 13 : 1439801657
Total Pages : 375 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics in Games, Sports, and Gambling by : Ronald J. Gould

Download or read book Mathematics in Games, Sports, and Gambling written by Ronald J. Gould and published by CRC Press. This book was released on 2009-07-28 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. Only requiring high school algebra, the text offers flexibility in choosing what material to cover in a basic mathematics course. It covers permutations in the two-deck matching game so derangements can be counted, introduces graphs to find matches when looking at extensions of the five-card trick, and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear equations and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and sports data.

The Mathematics of Games

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Author :
Publisher : Courier Corporation
ISBN 13 : 9780486449760
Total Pages : 0 pages
Book Rating : 4.4/5 (497 download)

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Book Synopsis The Mathematics of Games by : John D. Beasley

Download or read book The Mathematics of Games written by John D. Beasley and published by Courier Corporation. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid, instructive, and full of surprises, this book examines how simple mathematical analysis can throw unexpected light on games of every type, from poker to golf to the Rubik's cube. 1989 edition.

Mathletics

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Publisher : Princeton University Press
ISBN 13 : 1400842077
Total Pages : 391 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathletics by : Wayne L. Winston

Download or read book Mathletics written by Wayne L. Winston and published by Princeton University Press. This book was released on 2012-03-18 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: How math can be used to improve performance and predict outcomes in professional sports Mathletics is a remarkably entertaining book that shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, and football, and in sports gambling. How does professional baseball evaluate hitters? Is a singles hitter like Wade Boggs more valuable than a power hitter like David Ortiz? Should NFL teams pass or run more often on first downs? Could professional basketball have used statistics to expose the crooked referee Tim Donaghy? Does money buy performance in professional sports? In Mathletics, Wayne Winston describes the mathematical methods that top coaches and managers use to evaluate players and improve team performance, and gives math enthusiasts the practical tools they need to enhance their understanding and enjoyment of their favorite sports—and maybe even gain the outside edge to winning bets. Mathletics blends fun math problems with sports stories of actual games, teams, and players, along with personal anecdotes from Winston's work as a sports consultant. Winston uses easy-to-read tables and illustrations to illuminate the techniques and ideas he presents, and all the necessary math concepts—such as arithmetic, basic statistics and probability, and Monte Carlo simulations—are fully explained in the examples. After reading Mathletics, you will understand why baseball teams should almost never bunt, why football overtime systems are unfair, why points, rebounds, and assists aren't enough to determine who's the NBA's best player—and much, much more. In a new epilogue, Winston discusses the stats and numerical analysis behind some recent sporting events, such as how the Dallas Mavericks used analytics to become the 2011 NBA champions.

Mathematics of Games and Gambling

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Author :
Publisher : MAA
ISBN 13 : 9780883856468
Total Pages : 200 pages
Book Rating : 4.8/5 (564 download)

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Book Synopsis Mathematics of Games and Gambling by : Edward W. Packel

Download or read book Mathematics of Games and Gambling written by Edward W. Packel and published by MAA. This book was released on 2006-12-14 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a favourite which introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, craps, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: • Sports betting and the mathematics behind it • Game theory applied to bluffing in poker and related to the 'Texas Holdem phenomenon' • The Nash equilibrium concept and its emergence in popular culture • Internet links to games and Java applets for practice and classroom use. Game-related exercises are included and solutions to some appear at the end of the book.

Probability Guide to Gambling

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Author :
Publisher : INFAROM Publishing
ISBN 13 : 9738752035
Total Pages : 340 pages
Book Rating : 4.7/5 (387 download)

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Book Synopsis Probability Guide to Gambling by : Catalin Barboianu

Download or read book Probability Guide to Gambling written by Catalin Barboianu and published by INFAROM Publishing. This book was released on 2006 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decision-making criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated with all gaming events. It begins by explaining in simple terms the meaning of the concept of probability for the layman and goes on to become an enlightening journey through the mathematics of chance, randomness and risk. It then continues with the basics of discrete probability (definitions, properties, theorems and calculus formulas), combinatorics and counting arguments for those interested in the supporting mathematics. These mathematic sections may be skipped by readers who do not have a minimal background in mathematics; these readers can skip directly to the "Guide to Numerical Results" to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter, in which the results are listed at the end of each section, mostly in the form of tables. The chapter titled "The Mathematics of Games of Chance" presents these games not only as a good application field for probability theory, but also in terms of human actions where probability-based strategies can be tried to achieve favorable results. Through suggestive examples, the reader can see what are the experiments, events and probability fields in games of chance and how probability calculus works there. The main portion of this work is a collection of probability results for each type of game. Each game's section is packed with formulas and tables. Each section also contains a description of the game, a classification of the gaming events and the applicable probability calculations. The primary goal of this work is to allow the reader to quickly find the odds for a specific gaming situation, in order to improve his or her betting/gaming decisions. Every type of gaming event is tabulated in a logical, consistent and comprehensive manner. The complete methodology and complete or partial calculations are shown to teach players how to calculate probability for any situation, for every stage of the game for any game. Here, readers can find the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. Collections of odds are presented, as well as strategic recommendations based on those odds, where necessary, for each type of gaming situation. The book contains much new and original material that has not been published previously and provides great coverage of probabilities for the following games of chance: Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold'em Poker, Lottery and Sport Bets. Most of games of chance are predisposed to probability-based decisions. This is why the approach is not an exclusively statistical one (like many other titles published on this subject), but analytical: every gaming event is taken as an individual applied probability problem to solve. A special chapter defines the probability-based strategy and mathematically shows why such strategy is theoretically optimal.

Basic Gambling Mathematics

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Publisher : CRC Press
ISBN 13 : 1482208946
Total Pages : 278 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Basic Gambling Mathematics by : Mark Bollman

Download or read book Basic Gambling Mathematics written by Mark Bollman and published by CRC Press. This book was released on 2014-06-13 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the Math Underlying Some of Your Favorite Gambling Games Basic Gambling Mathematics: The Numbers Behind the Neon explains the mathematics involved in analyzing games of chance, including casino games, horse racing, and lotteries. The book helps readers understand the mathematical reasons why some gambling games are better for the player

The Perfect Bet

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Publisher : Basic Books
ISBN 13 : 0465098592
Total Pages : 288 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Perfect Bet by : Adam Kucharski

Download or read book The Perfect Bet written by Adam Kucharski and published by Basic Books. This book was released on 2016-02-23 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An elegant and amusing account" of how gambling has been reshaped by the application of science and revealed the truth behind a lucky bet (Wall Street Journal). For the past 500 years, gamblers-led by mathematicians and scientists-have been trying to figure out how to pull the rug out from under Lady Luck. In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

Mathletics

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Publisher : Princeton University Press
ISBN 13 : 0691177627
Total Pages : 608 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathletics by : Wayne L. Winston

Download or read book Mathletics written by Wayne L. Winston and published by Princeton University Press. This book was released on 2022-02-22 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathletics shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, football, soccer, lacrosse, and golf, and in sports gambling. The authors describe the mathematical methods that top coaches and managers use to evaluate players and improve team performance, and give math enthusiasts the practical tools they need to enhance their understanding and enjoyment of their favorite sports - and maybe even gain the outside edge to winning bets. Mathletics blends fun and challenging math problems with sports stories of actual games, teams, and players, along with personal anecdotes from Winston's work as a sports consultant. The book includes easy-to-read tables and illustrations to illuminate the techniques and ideas presented, and all the necessary mathematical concepts - such as arithmetic, basic statistics and probability, and Monte Carlo simulations - are fully explained in the examples. The revised edition will include about 75 pages of revised text and roughly 40 new figures. The book will include updates to the data and inclusion of more recent players and teams throughout all the chapters. It will also include new chapters on soccer, lacrosse, and golf, as well as new findings on regression, game theory, and optimization"--Publisher's description.

Calculated Bets

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Publisher : Cambridge University Press
ISBN 13 : 9780521009621
Total Pages : 252 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Calculated Bets by : Steven S. Skiena

Download or read book Calculated Bets written by Steven S. Skiena and published by Cambridge University Press. This book was released on 2001-08-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A story of using computer simulations and mathematical modeling techniques to predict the outcome of jai-alai matches and bet on them successfully.

Optimal Sports Math, Statistics, and Fantasy

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Publisher : Academic Press
ISBN 13 : 0128052937
Total Pages : 352 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Optimal Sports Math, Statistics, and Fantasy by : Robert L. Kissell

Download or read book Optimal Sports Math, Statistics, and Fantasy written by Robert L. Kissell and published by Academic Press. This book was released on 2017-04-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Sports Math, Statistics, and Fantasy provides the sports community—students, professionals, and casual sports fans—with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions. Readers will learn how to: Accurately rank sports teams Compute winning probability Calculate expected victory margin Determine the set of factors that are most predictive of team and player performance Optimal Sports Math, Statistics, and Fantasy also illustrates modeling techniques that can be used to decode and demystify the mysterious computer ranking schemes that are often employed by post-season tournament selection committees in college and professional sports. These methods offer readers a verifiable and unbiased approach to evaluate and rank teams, and the proper statistical procedures to test and evaluate the accuracy of different models. Optimal Sports Math, Statistics, and Fantasy delivers a proven best-in-class quantitative modeling framework with numerous applications throughout the sports world. Statistical approaches to predict winning team, probabilities, and victory margin Procedures to evaluate the accuracy of different models Detailed analysis of how mathematics and statistics are used in a variety of different sports Advanced mathematical applications that can be applied to fantasy sports, player evaluation, salary negotiation, team selection, and Hall of Fame determination

The mathematics of games and gambling

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (833 download)

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Book Synopsis The mathematics of games and gambling by : Edward Packel

Download or read book The mathematics of games and gambling written by Edward Packel and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Hidden Mathematics of Sport

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Publisher : Portico
ISBN 13 : 1911622749
Total Pages : 273 pages
Book Rating : 4.9/5 (116 download)

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Book Synopsis The Hidden Mathematics of Sport by : Rob Eastaway

Download or read book The Hidden Mathematics of Sport written by Rob Eastaway and published by Portico. This book was released on 2021-06-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book explores the mathematics involved in all your favourite sports. The Hidden Mathematics of Sport takes a unique and fascinating look at sport by exploring the mathematics behind the action. You'll discover the best tactics for taking a penalty, the pros and cons of being a consistent golfer, the surprising connection between American football and cricket, the quirky history of league tables, the unusual location of England's earliest 'football' matches and how to avoid marathon tennis matches. Whatever your sporting interests, from boxing to figure skating, from rugby to horse racing, you will find plenty to absorb and amuse you in this insightful book. Word count: 35,000 words

Mathematics of The Big Four Casino Table Games

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Publisher : CRC Press
ISBN 13 : 1000423891
Total Pages : 293 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Mathematics of The Big Four Casino Table Games by : Mark Bollman

Download or read book Mathematics of The Big Four Casino Table Games written by Mark Bollman and published by CRC Press. This book was released on 2021-08-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of Games

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Publisher : CRC Press
ISBN 13 : 1482235455
Total Pages : 422 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis The Mathematics of Games by : David G. Taylor

Download or read book The Mathematics of Games written by David G. Taylor and published by CRC Press. This book was released on 2014-12-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books. Written in an accessibl