Introduction To Probability With Texas Hold Em Examples
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Introduction to Probability with Texas Hold 'em Examples by Frederic Paik Schoenberg Pdf
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.
Introduction to Probability with Texas Hold’em Examples by Frederic Paik Schoenberg Pdf
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.
Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses by Catalin Barboianu Pdf
A complete probability guide of Hold'em Poker, this guide covers all possible gaming situations. The author focuses on the practical side of the presentation and use of the probabilities involved in Hold'em, while taking into account the subjective side of the probability-based criteria of each player's strategy.
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.
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.
The Probability Analysis of Texas Holdem by Brett Jauhola Pdf
What are the chances of winning with the hand I have and how should I play it?Poker is a very complicated game. Besides statistical advantage, the math involved in playing poker overwhelming. The pot size, number of players, how many players folded, and your hand need to be analyzed when playing. To make matters worse, the percentage of advantage for the same hand changes with the number of players.The Probability Analysis of Texas Holdem is a simple complete strategy based on computational science. The strategy will give you a good foundation, so that you will know what to play based on statistical advantage. Besides knowing the odds, seasoned poker players use other skills such as reading players, bluffing, and betting strategies that improve their advantage over other players. This book is for both beginners and advanced players with simple instructions. Knowing the statistical advantage and incorporating other winning strategies will greatly improve your game. 'The Probability Analysis of Texas Holdem' was written and designed as a teaching aid and a reference guide for review. The first half of this book explains the types of hands you should play. The second half of this book contains hand examples. There are examples for preflop, flop, turn and river hands. After learning the strategy, study these hands and learn to recognize winning hands quickly. This book has been a work in progress for over a decade. It is the accumulation of years of programming. At first, it was just to find out the basic odds or beginning and final hands. After years of playing, the programs were designed analyze the game from the deal to the showdown. With this knowledge, simple strategies were created. And now you have the same knowledge in your hand.
What are the odds of winning at poker if you don't know the odds in poker? Practical Poker Math provides a complete and easy-to-understand explanation of the basic odds, probabilities and expectations in Hold'Em and Omaha. All the formulations are completely open and are demonstrated via easy-to-follow, colour-coded calculations. Pat Dittmar has aimed this book at beginning through semi-pro players who want to improve their results and who know that there is not much chance of improvement without a fundamental understanding of poker odds, probabilities, and expectations. Pat Dittmar is head of.
The Mathematics of Poker by Bill Chen,Jerrod Ankenman Pdf
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.'
The exciting and challenging game of Texas Hold'Em Poker is gaining more followers daily both young and old who enjoy competing, bluffing, and most of all, winning. In this guidebook for both novice and experienced poker players, an avid poker player combines his knowledge of the game with his expertise regarding stats and probabilities to provide all possible outcomes of the cards, ultimately helping poker players around the world improve their chances of winning. Sam Habash has been playing poker since he was a young boy, but in the last ten years, has focused mainly on improving his Texas Hold'Em game. He draws on his ability to gather and analyze statistics to provide poker players with probabilities and payback information. While offering little-known statistics like the likelihood of having an ace or king show up in a hand (62%) or the odds of receiving a pair (6%), Habash leads players through many different scenarios like the chances of receiving a second pair, flush draw, or complete straight. The expert advice offered in this unique reference manual will help any poker player gain the extra advantage to come out ahead in their next game of Texas Hold'Em!
Poker Games Guide - Texas Hold 'em Poker by Nicolae Sfetcu Pdf
This book is an introduction to the poker game, emphasizing on the Texas Hold 'em Poker, the betting structure, poker variants, poker strategy and specific poker tournaments. The popularity of poker (mainly the no-limit Texas hold'em) reached an unprecedented peak in the 2000s. This "poker boom" is attributed to several factors: the invention of online poker, the television broadcast tournaments (with miniature cameras revealing the cards), the presentation of the online poker sites in television commercials, and victory in 2003 of Chris Moneymaker at the World Series of Poker. Not only the public can now follow the actions of the tournaments on television, turning this game in the sporting spectacle, but it can also be played directly from home. The spread of tournaments such as the World Series of Poker and the World Poker Tour created a strong following among television program providers by cable or satellite. Because of the hype, professional players have become celebrities, with many fans around the world participating in tournaments in the hope of being confronted with these celebrities. Poker is played in many variations but there are three large families. They differ firstly by the way of distribution of playing cards. Cards can be shared by all players or private for each player. They can also be closed (visible only by the owner of cards) or open (visible to all). There are also differences in the game base on stakes. The winning hands can be high, low or both (high/low). In some embodiments where poker is played high and low hands, certain conditions are imposed on low hands. For example, a player's hand can not contain card over eight (eight or better), or aces can count only as high card (deuce to seven). Poker is a microcosm of all we admire and disdain about capitalism and democracy. It can be rough-hewn or polished, warm or cold, charitable and caring or hard and impersonal. It is fickle and elusive, but ultimately it is fair, and right, and just. -- Lou Krieger
Texas Hold'em Odds and Probabilities by Matthew Hilger Pdf
- How often does each starting hand win against a specific hand or random hand? - What are the odds of your opponent holding a pocket pair when he raises? - What is the probability that an over-card will flop when you hold JJ? - How do you determine if drawing is profitable or not? Texas Hold'em Odds and Probabilities answers all of these questions and more. Every single decision you make at the poker table is in some way related to odds and probabilities. Whether you are deciding to bet, call, fold, raise, or even bluff, odds and probabilities are an integral part of the decision-making process. Texas Hold'em Odds and Probabilities does more than just show you how to calculate the odds - more importantly, the focus is on how to apply odds to make better decisions. Hilger's approach shows that you do not need to be a math wiz to be successful in poker. Simple concepts and strategies that anyone can learn will have you matching wits with the top players in no time. Some of the topics include: raising draws for value, backdoor draws, facing all-in decisions before the flop, protecting your hand, the impact of stack sizes, and much more. In addition, the most comprehensive collection of Texas Hold'em charts and statistics ever put in print is provided as reference. Poker is a fun game, but it is even more fun when you win. Expert players understand the simple math behind every decision they make - now you can too. Matthew Hilger is also the author of the best-selling Internet poker book, Internet Texas Hold'em and is coauthor, with Ian Taylor, of The Poker Mindset.
Probability Guide to Gambling by Catalin Barboianu Pdf
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.
Is must reading for anyone planning to play hold 'em. It was the first definitive work on hold'em poker and was originally published in 1976. Yet it is still one of the best-selling poker books available, and in 1997 it was expanded and updated to account for today's modern double blind structure. The text is designed for someone relatively new to the game, but it still contains much sophisticated material which all players should find beneficial. It is probably best known for the Sklansky Hand Rankings, which made the game much simpler to quantify and understand. Some of the topics include how Texas hold'em is played, the importance of position, the first two cards, the key flops, strategy before the flop, semibluffing, the free card, slowplaying, check raising, heads-up on fifth street, and how to read hands.
Understanding and Calculating the Odds by Catalin Barboianu Pdf
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)
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
