The Mathematics of Poker

Author: Bill Chen,Jerrod Ankenman

Publisher: Conjelco

ISBN: 9781886070257

Category: Games

Page: 382

View: 1528

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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.

Draw Poker Odds

The Mathematics of Classical Poker

Author: Catalin Barboianu

Publisher: INFAROM Publishing

ISBN: 9738752051

Category: Games

Page: 316

View: 8161

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Like any variation of poker, draw poker (or classical poker) is also predisposed to probability-based decisions. The author presents the mathematics involved in this card game, with respect to the usage of the numerical results in players' strategies. The whole presentation is focused on the practical aspect of the application of probability theory in draw poker and all the sections are such structured to allow the direct usage of the numerical results. This is why every section is packed with tables, some of them filling dozens of pages. This is not a math book, even if the supporting mathematics is present thorough, but a guide addressed to poker players, who can skip the math parts at any time and pick the needed results from tables. For those interested, the complete methodology, the way probability theory is applied and a part of the calculations are shown, so it teaches the player how to calculate odds for any situation for every stage of the game, even the numerical results are already listed in the book. Want to evaluate the probability of one opponent bluffing? Want to know the probability of at least one opponent holding a card formation higher than yours, at any moment of the game? Want to know the probability of hitting the desired formation if discarding in a certain way? All this information is in the book and is fully mathematically grounded. All probability results from this guide are obtained through compact mathematical formulas and not partial simulations on computer. These formulas are the outcome of one year of study, math work and tests. The author found the right probability model in which to apply the theory and conveniently quantify the card distributions inorder to work out the draw poker probability formulas. They were built with an enough large range of variables to cover all possible situations and were never worked out before. Their numerical returns were gathered in three main categories of odds presented in the book: - Initial probabilities of the first card distribution for your own hand; - Prediction probabilities after first card distribution and before the second for your own hand; - Prediction probabilities for opponents' hands. Every section ends with suggestive examples and there is also a special chapter with a lot of relevant gaming situations presented along with the odds of their associated events. Among author's previously published books on mathematics of gambling, Draw Poker Odds seems to be the most practical one and that is because the author presents the results of applied probability in a gambling-behavioral manner that can influence the balance between the subjective strategies and the real odds in player's favor.

Poker Math that Matters

Simplifying the Secrets of No-Limit Hold'em

Author: Owen Gaines

Publisher: N.A

ISBN: 9780615397450

Category:

Page: 211

View: 1215

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Learning the math behind good poker has never been simpler. Owen's methods and shortcuts will have you applying the math at the poker table overnight.

The Math of Hold'em

Author: Collin Moshman,Douglas Zare

Publisher: Dimat Enterprises Incorporated

ISBN: 9780984619429

Category: Games

Page: 408

View: 2626

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Winning big at hold'em requires practical math knowledge, which is precisely what this book will teach you. Both of the authors of this book graduated with degrees in Mathematics from Caltech. Collin Moshman is the best-selling author of Sit 'n Go Strategy and Heads-Up No-Limit Hold'em. Douglas Zare is a mathematician and poker coach famous for his in-depth analyses. The authors use their extensive math, poker, and coaching backgrounds to present the most important hold'em math concepts designed to immediately increase your winrate at the tables. You will learn to: Understand the fundamental probabilities and statistics underlying Hold'em Count hand combinations while playing Master expected value calculations Play optimally with game theory Seize full advantage of the latest software Utilize deductive logic to put your opponent on a specific hand range And more

Probability Guide to Gambling

The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sport Bets

Author: Catalin Barboianu

Publisher: INFAROM Publishing

ISBN: 9738752035

Category: Games

Page: 316

View: 9855

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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 Games and Gambling

Author: Edward W. Packel

Publisher: MAA

ISBN: 9780883856468

Category: Mathematics

Page: 175

View: 2712

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The new edition of a favourite, featuring fresh material such as betting in sport and bluffing in poker.

Practical Poker Math

Author: Pat Dittmar

Publisher: ECW Press

ISBN: 1554903262

Category: FICTION

Page: 256

View: 6150

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The dark side of humanity is explored in this electrifying science fiction thriller in which an epidemic virus terrorizes the earth. Causing its inhabitants to strike out on murderous rampages, the virus is caught through conversation and, once contracted, leads its host on a strange journey?into another world where the undead roam the streets of the smallest towns and largest cities, hungry for human flesh. Describing in chilling detail what it would be like if thousands suddenly caught such a virus and struck out on a mass, never-ending, cannibalistic spree, this terrifying narrative is perfect for those who are ready to explore their darkest secret imaginings through a sinister and compelling literary work of art. This new edition includes a new afterword on the making of the new motion picture.

Applications of No-Limit Hold 'em

A Guide to Understanding Theoretically Sound Poker

Author: Matthew Janda

Publisher: Two Plus Two Pub

ISBN: 9781880685556

Category: GAMES

Page: 494

View: 9242

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One of the most daunting moments in a poker player's career occurs when he realizes his knowledge of how to play a specific hand well is incomplete without the additional understanding of how to play every other hand in his range well. This task would be impossible if a player had to actually think about every other hand in his range, but by understanding theoretical sound poker, he can quickly design balanced ranges using the proper bet-sizing while playing.Applications of No-Limit Hold 'em teaches theoretical sound poker, and thus the ability to create the bet-sizings and ranges which will beat the better players. The theory in this book is not designed to be complex or abstract, but rather it's intended to be applied immediately producing better overall results.Many confusing concepts such as overbetting, balancing multiple bet-sizing ranges, donk betting, and check-raising as the preflop raiser are crucial to a player's strategy despite few players implementing them or talking about them. And after reading this book, you should be able to not only conceptually understand these ideas, but also know how to begin incorporating them into your game, and thereby successfully compete against tough opponents.

The Making Of A Poker Player

How An Ivy League Math Geek Learned To Play Championship Poker

Author: Matt Matros

Publisher: Lyle Stuart

ISBN: 9780818406423

Category: Games

Page: 286

View: 5069

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Matros teaches readers his tricks to winning poker through his experiences on the felt. Readers meet eccentric and generous poker players in addition to the cardsharps, angle-shooters and outright cheats that make up this fascinating subculture. This is the first book to teach poker through narrative which means that concepts like pot odds and expected value will seem completely natural because they are used in the context of Matros' stories. The tension and surrealism of Casino poker is vividly recounted and he teaches the knowledge necessary to win excellently.

The Mathematics of Games

Author: John D. Beasley

Publisher: Courier Corporation

ISBN: 048615162X

Category: Mathematics

Page: 176

View: 564

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Lucid, instructive, and full of surprises, this book examines how simple mathematical analysis can throw unexpected light on games of every type, from poker to golf to the Rubik's cube. 1989 edition.

The Mathematics of Games of Strategy

Author: Melvin Dresher

Publisher: Courier Corporation

ISBN: 0486150062

Category: Mathematics

Page: 208

View: 3011

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This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.

Essential Poker Math

Fundamental No Limit Hold'em Mathematics You Need to Know

Author: Alton Hardin

Publisher: CreateSpace

ISBN: 9781516944514

Category:

Page: 108

View: 9114

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Poker Math Is Easy to Learn Poker math is a vitally important aspect to No Limit Holdem poker, but it is often overlooked or simply not used because many poker players fear it is too difficult to learn. I'm here to tell you it is not. In fact, fundamental poker math is very easy to learn. More importantly, it can yield you a lot more profits at the poker table. Without using simple math at the poker table, you are simply playing a guessing game. Use Simple Math at the Poker Table and Increase You Winnings In this book I will teach you how to use simple arithmetic at the poker table to gain a huge skill advantage over your opponents that will allow you to win more and lose less. Poker players that don't use math are simply guessing and you'll learn to no longer guess and know the right mathematical move at the poker table. These simple mathematical concepts I will be teaching you will drastically help improve your poker game and allow you to make the most profitable decisions at the poker. Contents and Overview First you will be introduced to some fundamental overarching poker concepts that apply to poker mathematics. Then we will begin our journey into poker mathematics where you will learn about probabilities and odds, pot odds and implied odds, pot equity, and expected value. You will then learn how to quickly estimate your equity at the poker table using the Rule of 2 & 4. Moreover, you'll learn the steps involved in determining if calling with a drawing hand is profitable or not. We will also cover how to size your bets with the best hand and teach you how often bluffs and hero calls need to work to be profitable. Lastly, we will show you how to perform EV calculations and better understand card combinations. Effectively Understand and Utilize Essential Poker Math Develop a keen understanding of Probability and Odds Learn to quickly calculate Pot Odds & Implied Odds at the poker table Effectively use Pot Equity & The Rule of 2 & 4 to Determine the correct poker play Understand how to use Expected Value (EV) both on and off the table to analyze your plays Learn the important math behind Bluffs & Hero Calls to give you a skill advantage over your opponent Learn Card Combinations to further enhance your card reading abilities And Many More Amazing Topics... What You Will Get out of This Book Suitable for both beginning and experienced poker players alike you'll learn many essential fundamental poker mathematical concepts that will help you drastically improve your poker game. After reading this book, you will have mastered fundamental No Limit Holdem mathematics. You will have gained a huge skill advantage over your opponents and you will be able to quickly and effectively use math at the poker table to make are always the most profitable move. Most importantly, you will become a much better and profitable poker player! So what are you waiting for? Purchase this book today to start learning how to advance your poker game with simple poker math!

The Mathematics of Various Entertaining Subjects

Research in Games, Graphs, Counting, and Complexity

Author: Jennifer Beineke,Jason Rosenhouse

Publisher: Princeton University Press

ISBN: 1400889138

Category: Mathematics

Page: 408

View: 7573

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The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

The Magic of Math

Solving for x and Figuring Out Why

Author: Arthur Benjamin

Publisher: Basic Books

ISBN: 0465061621

Category: Mathematics

Page: 336

View: 4145

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The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic squares—this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius! A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math. If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.

Mathematics in Games, Sports, and Gambling

The Games People Play, Second Edition

Author: Ronald J. Gould

Publisher: CRC Press

ISBN: 1498719538

Category: Mathematics

Page: 354

View: 2335

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Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. This updated edition of a widely adopted textbook considers a number of popular games and diversions that are mathematically based or can be studied from a mathematical perspective. Requiring only high school algebra, the book is suitable for use as a textbook in seminars, general education courses, or as a supplement in introductory probability courses. New in this Edition: Many new exercises, including basic skills exercises More answers in the back of the book Expanded summary exercises, including writing exercises More detailed examples, especially in the early chapters An expansion of the discrete adjustment technique for binomial approximation problems New sections on chessboard puzzles that encourage students to develop graph theory ideas New review material on relations and functions Exercises are included in each section to help students understand the various concepts. The text covers permutations in the two-deck matching game so derangements can be counted. It introduces graphs to find matches when looking at extensions of the five-card trick and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and actual sports data.

Fluke

Author: Joseph Mazur

Publisher: Oneworld Publications

ISBN: 1780749015

Category: Mathematics

Page: 256

View: 9377

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What are the chances?! This exclamation greets the scarcely believable coincidence – you’re picked up by the same taxi driver several years and thousands of miles apart or, in a second-hand bookshop far from home, you find your own childhood copy of Winnie-the-Pooh on the shelf. But the unlikely is more probable than you think. Against every fibre of common sense, the fact is that it’s quite likely that some squirrel, somewhere, will be struck by lightning as it crosses the road. The chaos and unpredictability of our lives is an illusion. There is a rational order to the universe, and it’s called mathematics. Fluke is a fascinating investigation into the true nature of chance, a must-read for maths enthusiasts and avid storytellers alike, it tears down the veil of improbability to reveal the wonderfully possible.

What's Luck Got to Do with It?

The History, Mathematics, and Psychology of the Gambler's Illusion

Author: Joseph Mazur

Publisher: Princeton University Press

ISBN: 9781400834457

Category: Mathematics

Page: 296

View: 6361

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Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of dice playing among Neolithic peoples to the first systematic mathematical studies of games of chance during the Renaissance, from government-administered lotteries to the glittering seductions of grand casinos, and on to the global economic crisis brought on by financiers' trillion-dollar bets. Using plenty of engaging anecdotes, Mazur explains the mathematics behind gambling--including the laws of probability, statistics, betting against expectations, and the law of large numbers--and describes the psychological and emotional factors that entice people to put their faith in winning that ever-elusive jackpot despite its mathematical improbability. As entertaining as it is informative, What's Luck Got to Do with It? demonstrates the pervasive nature of our belief in luck and the deceptive psychology of winning and losing. Some images inside the book are unavailable due to digital copyright restrictions.

The Perfect Bet

How Science and Math Are Taking the Luck Out of Gambling

Author: Adam Kucharski

Publisher: Basic Books

ISBN: 0465098592

Category: Mathematics

Page: 288

View: 6504

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For the past 500 years, gamblers-led by mathematicians and scientists-have been trying to figure out how to pull the rug out from under Lady Luck. In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.