Understanding Your Game A Mathematician S Advice For Rational And Safe Gambling

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Understanding Your Game A Mathematician S Advice For Rational And Safe Gambling
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2022-04-15
Understanding Your Game A Mathematician S Advice For Rational And Safe Gambling written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
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.
Games Gambling And Probability
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Author : David G. Taylor
language : en
Publisher: CRC Press
Release Date : 2021-06-22
Games Gambling And Probability written by David G. Taylor and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-22 with Mathematics categories.
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.
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2021-01-18
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Education categories.
This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
In The Pursuit Of Winning
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Author : Masood Zangeneh
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-25
In The Pursuit Of Winning written by Masood Zangeneh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-25 with Psychology categories.
Gambling is an underrecognized problem from both a clinical and a public health point of view. It is not uncommon for an adolescent or adult to participate in one form of gambling or another on a regular basis, be it the lottery, card playing for money, sports wagering, or gambling on electronic gaming devices. Nor is it uncommon for such participation to reach excessive or destructive proportions, with negative effects on the individual’s psychological, social, economic, and family life. The results of the National Research Council’s 2000 review of empirical studies suggest that 85% of adolescents report having gambled during their lifetime, with 73% of adolescents reporting having gambled in the past year. Despite gains in knowledge concerning the correlates and risk factors associated with severe gambling problems among youth during the past ten years, a general lack of public and parental awareness exists. This raises serious mental health and public policy concerns. Writtenfrom an international perspective, this book covers gambling research and interventions in the following categories: role of helpline services; a Jungian-transpersonal approach to treatment; cognitive therapy for problem gambling; pharmacological interventions for problem gambling; desensitization/biofeedback as treatment for problem gambling; binge gambling; pathological gambling; past and contemporary aboriginal peoples’ experiences with gambling; problem-gambling counselor certification; measurement of outcomes in problem gambling treatment; overview of teen gambling-related issues from leading researchers.
The Mathematics Of Gambling
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Author : Edward Thorp
language : en
Publisher: Lyle Stuart
Release Date : 1984
The Mathematics Of Gambling written by Edward Thorp and has been published by Lyle Stuart this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Games categories.
Understanding And Calculating The Odds
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Author : Catalin Barboianu
language : en
Publisher: INFAROM Publishing
Release Date : 2006
Understanding And Calculating The Odds written by Catalin Barboianu and has been published by INFAROM Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Games & Activities categories.
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)
Probability Guide To Gambling
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Author : Catalin Barboianu
language : en
Publisher: INFAROM Publishing
Release Date : 2006
Probability Guide To Gambling written by Catalin Barboianu and has been published by INFAROM Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Games & Activities categories.
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.
Mensa Guide To Casino Gambling
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Author : Andrew Brisman
language : en
Publisher: Sterling Publishing Company, Inc.
Release Date : 2004
Mensa Guide To Casino Gambling written by Andrew Brisman and has been published by Sterling Publishing Company, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Games & Activities categories.
"The runaway winner as the best overall gambling encyclopedia written in the past 20 years.”--Detroit Free Press Walk away from every casino a winner! Take it from Mensa, the society for people with high IQs: you don’t have to be a genius to triumph at the tables. Here’s the inside line on the games and bets that give the best advantage. Do you know whether to split a pair of aces in blackjack, which slot machines carry the worst payback for the player, and why losses are more significant at video than "live” keno? Beat the bank by understanding all this and more, including odds and probability, the "house edge,” money management, and gambling psychology. The chips will just pile up. The author lives in New York, NY.
Probability Decisions And Games
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Author : Abel Rodríguez
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-24
Probability Decisions And Games written by Abel Rodríguez and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.
Introduces the fundamentals of probability, statistics, decision theory, and game theory, and features interesting examples of games of chance and strategy to motivate and illustrate abstract mathematical concepts Covering both random and strategic games, Probability, Decisions and Games features a variety of gaming and gambling examples to build a better understanding of basic concepts of probability, statistics, decision theory, and game theory. The authors present fundamental concepts such as random variables, rational choice theory, mathematical expectation and variance, fair games, combinatorial calculus, conditional probability, Bayes Theorem, Bernoulli trials, zero-sum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, Rock-Paper-Scissors, the Game of Chicken and Tic-Tac-Toe. Computer simulations, implemented using the popular R computing environment, are used to provide intuition on key concepts and verify complex calculations. The book starts by introducing simple concepts that are carefully motivated by the same historical examples that drove their original development of the field of probability, and then applies those concepts to popular contemporary games. The first two chapters of Probability, Decisions and Games: A Gentle Introduction using R feature an introductory discussion of probability and rational choice theory in finite and discrete spaces that builds upon the simple games discussed in the famous correspondence between Blaise Pascal and Pierre de Fermat. Subsequent chapters utilize popular casino games such as Roulette and Blackjack to expand on these concepts illustrate modern applications of these methodologies. Finally, the book concludes with discussions on game theory using a number of strategic games. This book: Features introductory coverage of probability, statistics, decision theory and game theory, and has been class-tested at University of California, Santa Cruz for the past six years Illustrates basic concepts in probability through interesting and fun examples using a number of popular casino games: roulette, lotto, craps, blackjack, and poker Introduces key ideas in game theory using classic games such as Rock-Paper-Scissors, Chess, and Tic-Tac-Toe. Features computer simulations using R throughout in order to illustrate complex concepts and help readers verify complex calculations Contains exercises and approaches games and gambling at a level that is accessible for readers with minimal experience Adopts a unique approach by motivating complex concepts using first simple games and then moving on to more complex, well-known games that illustrate how these concepts work together Probability, Decisions and Games: A Gentle Introduction using R is a unique and helpful textbook for undergraduate courses on statistical reasoning, introduction to probability, statistical literacy, and quantitative reasoning for students from a variety of disciplines.
The Mathematics Of Lottery
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Author : Catalin Barboianu
language : en
Publisher: INFAROM Publishing
Release Date : 2009-03
The Mathematics Of Lottery written by Catalin Barboianu and has been published by INFAROM Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03 with Games & Activities categories.
This work is a complete mathematical guide to lottery games, covering all of the problems related to probability, combinatorics, and all parameters describing the lottery matrices, as well as the various playing systems. The mathematics sections describe the mathematical model of the lottery, which is in fact the essence of the lotto game. The applications of this model provide players with all the mathematical data regarding the parameters attached to the gaming events and personal playing systems. By applying these data, one can find all the winning probabilities for the play with one line (for each category in part or cumulatively), and how these probabilities change with playing the various types of systems containing several lines, depending on their structure. Also, each playing system has a formula attached that provides the number of possible multiple prizes in various circumstances. Other mathematical parameters of the playing systems and the correlations between them are also presented. The generality of the mathematical model and of the obtained formulas allows their application for any existent lottery (including variations like Keno) and any playing system. Each formula is followed by numerical results covering the most frequent lottery matrices worldwide and by multiple examples predominantly belonging to the 6/49 lottery. The listing of the numerical results in dozens of well-organized tables, along with instructions and examples of using them, makes possible the direct usage of this guide by players without a mathematical background. The author also discusses from a mathematical point of view the strategies of choosing involved in the lotto game. The book does not offer so-called winning strategies (proving that the only strategy is that of choosing), but helps players to better organize their own playing systems and to confront their own convictions (so many times based on false perceptions) with the incontestable reality offered by the direct applications of the mathematical model of the lotto game. As a must-have handbook for any lottery player, this book offers essential information about the game itself and can provide the basis for gaming decisions of any kind.