Introduction to Probability with Texas Hold’em Examples PDF Download

Author: Frederic Paik Schoenberg
Publisher: CRC Press
ISBN: 1439827680
Category : Mathematics
Languages : en
Pages : 203

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Book Description
Introduction to Probability with Texas Hold’em Examples illustrates both standard and advanced probability topics using the popular poker game of Texas Hold’em, rather than the typical balls in urns. The author uses students’ natural interest in poker to teach important concepts in probability. This classroom-tested book covers the main subjects of a standard undergraduate probability course, including basic probability rules, standard models for describing collections of data, and the laws of large numbers. It also discusses several more advanced topics, such as the ballot theorem, the arcsine law, and random walks, as well as some specialized poker issues, such as the quantification of luck and skill in Texas Hold’em. Homework problems are provided at the end of each chapter. The author includes examples of actual hands of Texas Hold’em from the World Series of Poker and other major tournaments and televised games. He also explains how to use R to simulate Texas Hold’em tournaments for student projects. R functions for running the tournaments are freely available from CRAN (in a package called holdem). See Professor Schoenberg discuss the book.

Author: David F. Anderson
Publisher: Cambridge University Press
ISBN: 9781108415859
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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: Mark Bollman
Publisher: CRC Press
ISBN: 1000925951
Category : Mathematics
Languages : en
Pages : 323

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Book Description
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: Catalin Barboianu
Publisher:
ISBN: 9730036896
Category : Poker - manual
Languages : en
Pages : 144

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Book Description
Odds are part of any gambling strategy and Texas Hold'em Poker is highly predisposed to probability-based decisions. This book presents the mathematics involved in card distributions in Texas Hold'em and provides a precise account of the odds associated with all gaming events. The author is a recognized authority on casino mathematics. He is member of applied mathematics societies and has published numerous articles in leading academic, gaming industry and applied mathematics journals. He is also the author of "Probability Guide of Gambling." No formal background in mathematics is necessary for reading this book, although comfort with some probability and set theory notions is helpful. In most cases, you'll need some college math to follow the formulas here, but this is not a requirement, because the numerical results are collected in tables at the end of each section. The work is packed with formulas, algorithms and tables. Its' primary goal is to allow the reader to quickly find the odds for their hand and for their opponent's hand, in order to improve his/her betting decisions. Every type of card distribution is tabulated in a logical, consistent and comprehensive manner. The complete methodology and all the calculations are shown, so it teaches the player how to calculate probability for any situation for every stage of the game, even for other card games. You will find here the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. The book contains new and original material that has not been done previously and provides a full coverage of Hold'em odds: - Immediate odds (pre-flop odds, flop odds, turn odds, river odds, odds ofimproving specific hands). - Long-shot odds (odds of achieving specific card formations by river) for own hand, in after-flop and after-turn stages. - Long-shot odds for opponent's hand (odds for one and at least one of your opponents to achieve specific card formations by river), in after-flop, after-turn and after-river stages. - Other odds. Concrete examples of calculations and usage of tables are attached to each section. Also, a special chapter of examples is included for a good understanding of how to count and compare the odds for expected card formations and the odds of possible higher formations of opponents. Such information is a must for any Hold'em player - either beginner or advanced - and this book is a trusted and professional source.

Author: Bill Chen
Publisher: Conjelco
ISBN: 9781886070257
Category : Games & Activities
Languages : en
Pages : 0

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Book Description
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: Pat Dittmar
Publisher: ECW Press
ISBN: 1554903262
Category : Games & Activities
Languages : en
Pages : 225

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Book Description
A primer and reference for one of the most useful concepts in poker.

Author:
Publisher: FastPencil Inc
ISBN: 160746277X
Category : Business & Economics
Languages : en
Pages : 208

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Book Description
Poker star Dusty Schmidt presents his first book [¬" one that stands to shake up poker in the same way Moneyball did for baseball. Schmidt offers an inspiring look at how in just five years, he went from not knowing a thing about poker to netting a seven-figure annual income. Far from a mathematical or technological genius, Schmidt says what guides him through is a fundamental understanding of business. Treat Your Poker Like A Business provides a foundation upon which all poker will be evaluated in the future, and will help an entire generation of poker players evolve their games into empires. A consummate "grinder," Dusty Schmidt has played nearly 7 million hands of online poker over more than 10,000 hours during his five-year career. He's won over $3 million during that period, and has never experienced a losing month. In 2007, he achieved Poker Stars' SuperNova Elite status in just eight months while playing high-stakes cash games exclusively. Schmidt posted the world's highest win rate in both 5/10 NL and 10/20 NL in both 2007 and 2008. In a four-month period between Nov. 2007 and Feb. 2008, Schmidt won in excess of $600,000 in high-stakes cash games. He is now a highly respected instructor at Stoxpoker.com, and plays as high as 25/50 NL. As a young man, Schmidt was a top-ranked golfer. He broke two of Tiger Woods' junior records, and was the leading money winner on the Golden States Tour when, at age 23, he suffered a career-ending heart attack. Schmidt returned to golf in 2009, winning medalist honors in qualifying for the Oregon Amateur Championship. Later that year, Schmidt famously represented himself in federal court in his suit against the United States Golf Association, which controversially stripped him of his amateur status, in part due to his poker profession. Schmidt is now a volunteer assistant coach for the University of Oregon's men's golf team, working under his good friend, Head Coach Casey Martin. Schmidt is also a successful entrepreneur. He is part-owner of Stoxpoker.com and Imagine Media, and the creator of 10thGreen.com, the first social network for golfers. His story has been featured in Sports Illustrated, Card Player, Poker News, Golf Magazine, Fairways and Greens, Golf Week, Golf World and the Portland Oregonian, as well as on ESPN, cnn.com, wallstreetjournal.com, forbes.com, fortune.com, espn.com, golfdigest.com and golf.com, among many others. He recently founded the House of Cards Project, a philanthropic effort to provide food and shelter to disadvantaged families. His life story will be told in the book [¬Raise: The Impossibly True Tale of Dusty Schmidt, [¬? to be released later in 2010. He lives in Portland, Ore., with his wife, Nicole, and daughter, Lennon.

Author: Abel Rodríguez
Publisher: John Wiley & Sons
ISBN: 1119302609
Category : Mathematics
Languages : en
Pages : 234

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Book Description
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. ABEL RODRÍGUEZ, PhD, is Professor in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz (UCSC), CA, USA. The author of 40 journal articles, his research interests include Bayesian nonparametric methods, machine learning, spatial temporal models, network models, and extreme value theory. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.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. ABEL RODRÍGUEZ, PhD, is Professor in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz (UCSC), CA, USA. The author of 40 journal articles, his research interests include Bayesian nonparametric methods, machine learning, spatial temporal models, network models, and extreme value theory. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.

Author: David G. Taylor
Publisher: CRC Press
ISBN: 1482235455
Category : Mathematics
Languages : en
Pages : 422

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Book Description
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

Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9738752035
Category : Games & Activities
Languages : en
Pages : 340

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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.