Probability Guide to Gambling

Probability Guide to Gambling PDF Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9738752035
Category : Games & Activities
Languages : en
Pages : 340

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.

Games, Gambling, and Probability

Games, Gambling, and Probability PDF Author: David G. Taylor
Publisher: CRC Press
ISBN: 1000400204
Category : Mathematics
Languages : en
Pages : 516

Book Description
Many experiments have shown the human brain generally has very serious problems dealing with probability and chance. A greater understanding of probability can help develop the intuition necessary to approach risk with the ability to make more informed (and better) decisions. The first four chapters offer the standard content for an introductory probability course, albeit presented in a much different way and order. The chapters afterward include some discussion of different games, different "ideas" that relate to the law of large numbers, and many more mathematical topics not typically seen in such a book. The use of games is meant to make the book (and course) feel like fun! Since many of the early games discussed are casino games, the study of those games, along with an understanding of the material in later chapters, should remind you that gambling is a bad idea; you should think of placing bets in a casino as paying for entertainment. Winning can, obviously, be a fun reward, but should not ever be expected. Changes for the Second Edition: New chapter on Game Theory New chapter on Sports Mathematics The chapter on Blackjack, which was Chapter 4 in the first edition, appears later in the book. Reorganization has been done to improve the flow of topics and learning. New sections on Arkham Horror, Uno, and Scrabble have been added. Even more exercises were added! The goal for this textbook is to complement the inquiry-based learning movement. In my mind, concepts and ideas will stick with the reader more when they are motivated in an interesting way. Here, we use questions about various games (not just casino games) to motivate the mathematics, and I would say that the writing emphasizes a "just-in-time" mathematics approach. Topics are presented mathematically as questions about the games themselves are posed. Table of Contents Preface 1. Mathematics and Probability 2. Roulette and Craps: Expected Value 3. Counting: Poker Hands 4. More Dice: Counting and Combinations, and Statistics 5. Game Theory: Poker Bluffing and Other Games 6. Probability/Stochastic Matrices: Board Game Movement 7. Sports Mathematics: Probability Meets Athletics 8. Blackjack: Previous Methods Revisited 9. A Mix of Other Games 10. Betting Systems: Can You Beat the System? 11. Potpourri: Assorted Adventures in Probability Appendices Tables Answers and Selected Solutions Bibliography Biography Dr. David G. Taylor is a professor of mathematics and an associate dean for academic affairs at Roanoke College in southwest Virginia. He attended Lebanon Valley College for his B.S. in computer science and mathematics and went to the University of Virginia for his Ph.D. While his graduate school focus was on studying infinite dimensional Lie algebras, he started studying the mathematics of various games in order to have a more undergraduate-friendly research agenda. Work done with two Roanoke College students, Heather Cook and Jonathan Marino, appears in this book! Currently he owns over 100 different board games and enjoys using probability in his decision-making while playing most of those games. In his spare time, he enjoys reading, cooking, coding, playing his board games, and spending time with his six-year-old dog Lilly.

Chance

Chance PDF Author: Amir D. Aczel
Publisher: High Stakes
ISBN: 9781843440253
Category : Chance
Languages : en
Pages : 192

Book Description
Celebrated mathematician Amir D Aczel sets his sights on the probability theory - the branch of mathematics that measures the likelihood of a random event. What is commonly called 'luck' has mathematical roots - and in Aczel's capable hands readers learn to increase their odds of success in everything from true love to the stock market.

Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses

Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses PDF Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9731991344
Category : Games & Activities
Languages : en
Pages : 210

Book Description
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.

Understanding and Calculating the Odds

Understanding and Calculating the Odds PDF Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9738752019
Category : Gambling
Languages : en
Pages : 300

Book Description
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)

Basic Gambling Mathematics

Basic Gambling Mathematics PDF Author: Mark Bollman
Publisher: CRC Press
ISBN: 1482208938
Category : Mathematics
Languages : en
Pages : 285

Book Description
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.

The Mathematics of Slots

The Mathematics of Slots PDF Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9731991409
Category : Games & Activities
Languages : en
Pages : 366

Book Description
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.

Texas Hold'em Odds

Texas Hold'em Odds PDF Author: Catalin Barboianu
Publisher:
ISBN: 9730036896
Category : Poker - manual
Languages : en
Pages : 144

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.

The Theory of Gambling and Statistical Logic

The Theory of Gambling and Statistical Logic PDF Author: Richard A. Epstein
Publisher: Gulf Professional Publishing
ISBN: 9780122407611
Category : Business & Economics
Languages : en
Pages : 476

Book Description
Covering all aspects of gambling, The Theory of Gambling and Statistical Logic is mathematically sophisticated, but can be read for what it says about the games and strategies, skipping the technicalities. The material is fascinating and detailed, and the analysis is masterful.

Casino Gambling For Dummies

Casino Gambling For Dummies PDF Author: Kevin Blackwood
Publisher: John Wiley & Sons
ISBN: 1119873142
Category : Games & Activities
Languages : en
Pages : 418

Book Description
Maximize your odds on the casino floor Casinos are designed for distraction, so it helps to know a bit about when the odds are in your favor and when they’re not before you push a stack of chips onto a table. Professional blackjack player Kevin Blackwood and lifelong sports bettor Swain Scheps know a thing or two about casino gambling. In Casino Gambling For Dummies, these seasoned gaming veterans guide you through the essential strategies for walking out of the casino ahead of the game. They also show you the most common mistakes made by players, helping you avoid gambling risks while you enjoy what the gaming industry has to offer. Learn to see past the flashing lights, decide how much you’re willing to wager, and find out how to enjoy yourself. In this book, you’ll also discover: Step-by-step walkthroughs of casino etiquette and the rules of common casino games, including poker and blackjack Explanations of video poker and slots and ways to avoid losing more than you’re comfortable with Explorations of online gambling, so you can enjoy the fun of a casino from the comfort of your home The perfect guide for anyone looking for an easy introduction to the world of casino gaming, Casino Gambling For Dummies is also an essential resource for those seeking to improve their odds at blackjack, craps, video poker, slots, and other games.
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