Probability Guide to Gambling

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

If you enjoy playing the lottery you may be interested to learn more about the mathematics of the lottery. This book, Probability Guide to Gambling: The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sports Bets, explains the different odds and probabilities of gambling games. It explains in detail how these odds are calculated, how they work against you, and sometimes how they work in your favour.

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 modelling the uncertainty. 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. It goes on to become an enlightening journey through the mathematics of chance, randomness and risk. Finally, it continues with the basics of discrete probability. This includes definitions, properties, theorems and calculus formulas. Followed by combinatorics and counting arguments for those interested in the supporting mathematics.

Probability Guide to Gambling
4.33 (6 ratings by Goodreads)
Paperback | English
By Catalin Barboianu

These mathematics sections can be skipped by readers who do not have a minimal background in mathematics. Readers may skip directly to the ‘Guide to Numerical Results’ in order to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter. 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 favourable 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. This will aid 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 the probability for any situation. 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. It also provides great coverage of probabilities for Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold’em Poker, Lottery and Sports Bets. Most games of chance are predisposed to probability-based decisions. This is why the books approach is not an exclusively statistical one, but more 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 a strategy is theoretically optimal.

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I am a global lottery and lifestyle consultant. I firmly believe that everybody buys a winning lottery ticket at some time in their lives, just not necessarily on the right day.

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