Understanding Your Game A Mathematicians Advice For Rational And Safe Gambling
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| Author | : Catalin Barboianu |
| Publisher | : PhilScience Press |
| Total Pages | : 232 |
| Release | : 2022-04-15 |
| Genre | : Mathematics |
| ISBN | : 6069735005 |
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 | : Catalin Barboianu |
| Publisher | : INFAROM Publishing |
| Total Pages | : 300 |
| Release | : 2006 |
| Genre | : Gambling |
| ISBN | : 9738752019 |
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 | : Catalin Barboianu |
| Publisher | : INFAROM Publishing |
| Total Pages | : 204 |
| Release | : 2009-03 |
| Genre | : Games & Activities |
| ISBN | : 9731991115 |
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.
| Author | : John Haigh |
| Publisher | : Winning with Probability |
| Total Pages | : 388 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0198526636 |
"What are the odds against winning the Lotto, The Weakest Link, or Who Wants to be a Millionaire? The answer lies in the science of probability, yet many of us are unaware of how this science works. Every day, people make judgements on a wide variety of situations where chance plays a role, including buying insurance, betting on horse-racing, following medical advice - even carrying an umbrella. In Taking Chances, John Haigh guides the reader round common pitfalls, demonstrates how to make better-informed decisions, and shows where the odds can be unexpectedly in your favour. This new edition has been fully updated, and includes information on top television shows, plus a new chapter on Probability for Lawyers."--BOOK JACKET.
| Author | : Catalin Barboianu |
| Publisher | : INFAROM Publishing |
| Total Pages | : 366 |
| Release | : 2013 |
| Genre | : Games & Activities |
| ISBN | : 9731991409 |
This eighth book of the author on gambling math presents in accessible terms the cold mathematics behind the sparkling slot machines, either physical or virtual. It contains all the mathematical facts grounding the configuration, functionality, outcome, and profits of the slot games. Therefore, it is not a so-called how-to-win book, but a complete, rigorous mathematical guide for the slot player and also for game producers, being unique in this respect. As it is primarily addressed to the slot player, its goal is to present practical applications of the mathematical models of slot games, in order to provide numerical results that a player can use as criteria for gaming decisions or just as information for any slot game and any predicted winning event. These results are focused on probability and expected value, these being the most important parameters for decisional criteria in slots. The book is packed with plenty of figures, tables, and formulas. The content is organized so that readers can skip the theoretical parts and go picking the practical results (numerical, in tables of values where possible, or ready-to-compute formulas) for the desired situation. The practical results are gathered in the last chapter, titled "Practical Applications and Numerical Results," the largest part of the book, for the most popular categories of slot machines, namely with 3, 5, 9, and 16 reels. Any other category of slot games is covered in the theoretical part of the book, where the general formulas apply not only to existing slot games, but also to possible future slot games of any design and configuration. The author does not just throw the slot mathematics to the audience and run away, but offers an ultimate practical contribution with the chapter "How to estimate the number of stops and the symbol distribution on a reel", a surprise for both players and producers, where one can see that mathematics provides players with some statistical methods as well as methods based on physical measurements for retrieving these missing data. Having these data along with the mathematical results of this book, anyone can generate the PAR sheet of any slot machine. In the last decade, mathematics has been taken more and more seriously into account in gaming, as being the essence that governs the games of chance and the only rigorous tool providing information on optimal play, where possible. For the popular game of slots, mathematics already fulfilled its duty by providing all the data that it can provide and that cannot be found on the display of the slot machines - it is all here in this book.
| Author | : Keith Devlin |
| Publisher | : |
| Total Pages | : 210 |
| Release | : 2010-03-23 |
| Genre | : Mathematics |
| ISBN | : 0465018963 |
Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance. The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the "unfinished game" problem: how do you divide the pot when players are forced to.
| Author | : Barrie Dolnick |
| Publisher | : Harmony |
| Total Pages | : 256 |
| Release | : 2007-11-06 |
| Genre | : Mathematics |
| ISBN | : 0307405303 |
Have you ever noticed that you talk about luck every day of your life? Luck is your silent companion, sometimes bringing awesome parking spaces, a chance meeting with a new love interest, or a small windfall. Most of the time you probably don’t even pay attention to luck. Chances are, you only really think about luck when you buy a lottery ticket or participate in a contest. Luck is so much more than that. If you take steps to live longer by eating right and exercising, why wouldn’t you also take similar steps to improve your good fortune? Barrie Dolnick and Anthony Davidson asked themselves this very question, and set out to study luck and decipher how it works. In this insightful and engaging book, they share the secrets they’ve uncovered so you can use luck more effectively in your day-to-day life. Where does luck originate? Does one need to be “born lucky” in order to be lucky? Answering these and many other pressing questions, Dolnick and Davidson investigate both ancient and scientific approaches to luck. From early man to famous rationalists, luck has been prayed for, played with, and courted. You’ll learn how ancient practices such as the I Ching, astrology, tarot, and numerology have been used to understand luck, and how great mathematicians studied luck–some guided by their own interest in gambling. Every- one wants to be lucky. Once you know the fundamentals of luck, the authors take you through your own Personal Luck Profile so that you can use this wisdom and try your luck. People do a lot of weird things to improve their luck–and now you can make smart choices and informed decisions about how to play with yours.
| Author | : Bill Chen |
| Publisher | : Conjelco |
| Total Pages | : 0 |
| Release | : 2006 |
| Genre | : Games & Activities |
| ISBN | : 9781886070257 |
For decades, the highest level of poker have been dominated by players who have learned the game by playing it, road gamblers' who have cultivated intuition for the game and are adept at reading other players' hands from betting patterns and physical tells. Over the last five to ten years, a whole new breed has risen to prominence within the poker community. Applying the tools of computer science and mathematics to poker and sharing the information across the Internet, these players have challenged many of the assumptions that underlay traditional approaches to the game.'
| Author | : David F. Anderson |
| Publisher | : Cambridge University Press |
| Total Pages | : 447 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 110824498X |
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
| Author | : Avi Wigderson |
| Publisher | : Princeton University Press |
| Total Pages | : 434 |
| Release | : 2019-10-29 |
| Genre | : Computers |
| ISBN | : 0691189137 |
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
