Understanding Your Game A Mathematicians Advice For Rational And Safe Gambling

Author : Catalin Barboianu
Publisher : PhilScience Press
ISBN 13 : 6069735005
Total Pages : 232 pages
Book Rating : 4.08/5 ( download)

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Download or read book Understanding Your Game: A Mathematician's Advice for Rational and Safe Gambling written by Catalin Barboianu and published by PhilScience Press. This book was released on 2022-04-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr. Cătălin Bărboianu, a recognized authority in gaming mathematics, philosopher of science, and problem-gambling researcher, proposes in this practical guide for both problem and non-problem gamblers a new pragmatic, conceptual approach of gambling mathematics. The primary aim of this guide is the adequate understanding of the essence and complexity of gambling through its mathematical dimension. The author starts from the premise that formal gambling mathematics, which is hardly even digestible for the non-math-inclined gamblers, is ineffective alone in correcting the specific cognitive distortions associated with gambling. By applying the latest research results in this field, the author blends the gambling-mathematics concepts with the epistemology of applied mathematics and cognitive psychology for providing gamblers the knowledge required for rational and safe gambling. It is not a standard book of gambling mathematics. The essential mathematical concepts are explained in a conceptual mode for the non-math reader, limited to their context of application and including their precise relationship with the real world of gambling. The entire mathematical dimension of gambling is reduced to seven general principles, explained at large in the seven main chapters, each generating a set of general recommendations applicable in general or in particular situations. These recommendations cover both the technical play, including objective and optimal strategies, and responsible, safe gambling. The guide has entire sections dedicated to roulette, blackjack, slots, poker, and sport betting; however, the principles and the associated advice are applicable in general to all games of chance. A major focus of the work is on explaining, making aware of, demounting, and correcting the classical gambling cognitive distortions (misconceptions, subjective estimations of probabilities, the Monte Carlo fallacy, conjunction and disjunction fallacies, the near-miss effect, illusion of control, and the misunderstanding of gambling language). The guide provides the required cognitive tools for correcting these distortions with the help of the mathematical concepts and addresses not only gamblers, but also gambling experts, including counselors.

Author : Mark Bollman
Publisher : CRC Press
ISBN 13 : 1482208938
Total Pages : 285 pages
Book Rating : 4.31/5 ( download)

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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 285 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 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. The book begins with a brief historical introduction and mathematical preliminaries before developing the essential results and applications of elementary probability, including the important idea of mathematical expectation. The author then addresses probability questions arising from a variety of games, including roulette, craps, baccarat, blackjack, Caribbean stud poker, Royal Roulette, and sic bo. The final chapter explores the mathematics behind "get rich quick" schemes, such as the martingale and the Iron Cross, and shows how simple mathematics uncovers the flaws in these systems.

Author : David G. Taylor
Publisher : CRC Press
ISBN 13 : 1000400204
Total Pages : 516 pages
Book Rating : 4.05/5 ( download)

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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.

Author : Richard A. Epstein
Publisher : Academic Press
ISBN 13 : 0080958613
Total Pages : 457 pages
Book Rating : 4.13/5 ( download)

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Download or read book The Theory of Gambling and Statistical Logic written by Richard A. Epstein and published by Academic Press. This book was released on 2009-09-28 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Recent advances in the field, particularly Parrondo's paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, "21," inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp's warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not "Gambling for Dummies" or "How To Beat The Odds Without Really Trying." A background in upper-level undergraduate mathematics is helpful for understanding this work. Comprehensive and exciting analysis of all major casino games and variants Covers a wide range of interesting topics not covered in other books on the subject Depth and breadth of its material is unique compared to other books of this nature Richard Epstein's website: www.gamblingtheory.net

Author : Mark Bollman
Publisher : CRC Press
ISBN 13 : 100092596X
Total Pages : 355 pages
Book Rating : 4.68/5 ( download)

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Download or read book Basic Gambling Mathematics written by Mark Bollman and published by CRC Press. This book was released on 2023-08-31 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mark Bollman
Publisher : CRC Press
ISBN 13 : 1000192016
Total Pages : 319 pages
Book Rating : 4.18/5 ( download)

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Download or read book Mathematics of Casino Carnival Games written by Mark Bollman and published by CRC Press. This book was released on 2020-10-20 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are thousands of books relating to poker, blackjack, roulette and baccarat, including strategy guides, statistical analysis, psychological studies, and much more. However, there are no books on Pell, Rouleno, Street Dice, and many other games that have had a short life in casinos! While this is understandable — most casino gamblers have not heard of these games, and no one is currently playing them — their absence from published works means that some interesting mathematics and gaming history are at risk of being lost forever. Table games other than baccarat, blackjack, craps, and roulette are called carnival games, as a nod to their origin in actual traveling or seasonal carnivals. Mathematics of Casino Carnival Games is a focused look at these games and the mathematics at their foundation. Features • Exercises, with solutions, are included for readers who wish to practice the ideas presented • Suitable for a general audience with an interest in the mathematics of gambling and games • Goes beyond providing practical ‘tips’ for gamblers, and explores the mathematical principles that underpin gambling games

Author : Catalin Barboianu
Publisher : INFAROM Publishing
ISBN 13 : 9738752035
Total Pages : 340 pages
Book Rating : 4.30/5 ( download)

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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.

Author : Mark Bollman
Publisher : CRC Press
ISBN 13 : 1000423840
Total Pages : 364 pages
Book Rating : 4.46/5 ( download)

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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 364 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.

Author : Catalin Barboianu
Publisher : INFAROM Publishing
ISBN 13 : 9738752019
Total Pages : 300 pages
Book Rating : 4.16/5 ( download)

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Download or read book Understanding and Calculating the Odds written by Catalin Barboianu and published by INFAROM Publishing. This book was released on 2006 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents not only the mathematical concept of probability, but also its philosophical aspects, the relativity of probability and its applications and even the psychology of probability. All explanations are made in a comprehensible manner and are supported with suggestive examples from nature and daily life, and even with challenging math paradoxes. (Mathematics)

Author : Olaf Vancura
Publisher : University of Nevada, Reno Bureau of Business & Economic Research
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.85/5 ( download)

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Download or read book Finding the Edge written by Olaf Vancura and published by University of Nevada, Reno Bureau of Business & Economic Research. This book was released on 2000 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives information on the current status of gambling and the issues that arise with the existence of legal commercial gaming. It provides an analysis of a variety of gambling opportunities, including studies in sports and horse-race betting, video poker, roulette and craps.