Mathematics Of Chance

Mathematics of Chance PDF Book Detail:
Author: Jirí Andel
Publisher: John Wiley & Sons
ISBN: 0470317914
Size: 32.24 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 272
View: 6601

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Book Description: Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jiri Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems. Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics including: * Random walks * Principle of reflection * Probabilistic aspects of records * Geometric distribution * Optimization * The LAD method, and more Knowledge of the basic elements of calculus will be sufficient in understanding most of the material presented here, and little knowledge of pure statistics is required. Jiri Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.

Probability Guide To Gambling

Probability Guide to Gambling PDF Book Detail:
Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9738752035
Size: 39.10 MB
Format: PDF, Kindle
Category : Games
Languages : en
Pages : 316
View: 1970

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Book Description: 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."

Mathematics Of Probability

Mathematics of Probability PDF Book Detail:
Author: Daniel W. Stroock
Publisher: American Mathematical Soc.
ISBN: 1470409070
Size: 21.30 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 284
View: 1921

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Book Description: This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes, including Brownian motion, and, finally, with martingales, both discrete and continuous parameter ones. The book is a self-contained introduction to probability theory and the measure theory required to study it.

The Mathematics Of Lottery

The Mathematics of Lottery PDF Book Detail:
Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9731991115
Size: 45.92 MB
Format: PDF, ePub, Docs
Category : Games
Languages : en
Pages : 204
View: 1981

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Book Description: 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.

The Mathematics Of The Elementary Grades

The Mathematics of the Elementary Grades PDF Book Detail:
Author: William P. Berlinghoff
Publisher: Ardsley House Pub
ISBN: 9780912675800
Size: 78.74 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 602
View: 5276

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Book Description: To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.

The Empire Of Chance

The Empire of Chance PDF Book Detail:
Author: Gerd Gigerenzer
Publisher: Cambridge University Press
ISBN: 9780521398381
Size: 54.18 MB
Format: PDF, ePub, Docs
Category : History
Languages : en
Pages : 340
View: 4401

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Book Description: Connects the earliest applications of probability and statistics in gambling and insurance to the most recent applications in law, medicine, polling, and baseball as well as their impact on biology, physics and psychology.

Mathematics Of Finance

Mathematics of Finance PDF Book Detail:
Author: Joseph Burton Linker
Publisher:
ISBN:
Size: 80.38 MB
Format: PDF, ePub, Mobi
Category : Business mathematics
Languages : en
Pages : 258
View: 1388

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Book Description:

Probabilities

Probabilities PDF Book Detail:
Author: Peter Olofsson
Publisher: John Wiley & Sons
ISBN: 1118898907
Size: 29.96 MB
Format: PDF, ePub, Mobi
Category : Education
Languages : en
Pages : 328
View: 3423

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Book Description: What are the chances? Find out in this entertaining exploration of probabilities in our everyday lives "If there is anything you want to know, or remind yourself, about probabilities, then look no further than this comprehensive, yet wittily written and enjoyable, compendium of how to apply probability calculations in real-world situations."--Keith Devlin, Stanford University, National Public Radio's "Math Guy" and author of The Math Gene and The Math Instinct. "A delightful guide to the sometimes counterintuitive discipline of probability. Olofsson points out major ideas here, explains classic puzzles there, and everywhere makes free use of witty vignettes to instruct and amuse."--John Allen Paulos, Temple University, author of Innumeracy and A Mathematician Reads the Newspaper. "Beautifully written, with fascinating examples and tidbits of information. Olofsson gently and persuasively shows us how to think clearly about the uncertainty that governs our lives."--John Haigh, University of Sussex, author of Taking Chances: Winning with Probability. From probable improbabilities to regular irregularities, Probabilities: The Little Numbers That Rule Our Lives investigates the often-surprising effects of risk and chance in our everyday lives. With examples ranging from WWII espionage to the O.J. Simpson trial, from bridge to blackjack, from Julius Caesar to Jerry Seinfeld, the reader is taught how to think straight in a world of randomness and uncertainty. Throughout the book, readers learn: -Why it is not that surprising for someone to win the lottery twice -How a faulty probability calculation forced an innocent woman to spend three years in prison -How to place bets if you absolutely insist on gambling -How a newspaper turned an opinion poll into one of the greatest election blunders in history. Educational, eloquent, and entertaining, Probabilities: The Little Numbers That Rule Our Lives is the ideal companion for anyone who wants to obtain a better understanding of the mathematics of chance.

Mathematics For The Nonmathematician

Mathematics for the Nonmathematician PDF Book Detail:
Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Size: 74.50 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 672
View: 5468

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Book Description: Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.