The Mathematics of Lottery


Book Description

This work is a complete mathematical guide to lottery games, covering all of the problems related to probability, combinatorics, and all parameters describing the lottery matrices, as well as the various playing systems. The mathematics sections describe the mathematical model of the lottery, which is in fact the essence of the lotto game. The applications of this model provide players with all the mathematical data regarding the parameters attached to the gaming events and personal playing systems. By applying these data, one can find all the winning probabilities for the play with one line (for each category in part or cumulatively), and how these probabilities change with playing the various types of systems containing several lines, depending on their structure. Also, each playing system has a formula attached that provides the number of possible multiple prizes in various circumstances. Other mathematical parameters of the playing systems and the correlations between them are also presented. The generality of the mathematical model and of the obtained formulas allows their application for any existent lottery (including variations like Keno) and any playing system. Each formula is followed by numerical results covering the most frequent lottery matrices worldwide and by multiple examples predominantly belonging to the 6/49 lottery. The listing of the numerical results in dozens of well-organized tables, along with instructions and examples of using them, makes possible the direct usage of this guide by players without a mathematical background. The author also discusses from a mathematical point of view the strategies of choosing involved in the lotto game. The book does not offer so-called winning strategies (proving that the only strategy is that of choosing), but helps players to better organize their own playing systems and to confront their own convictions (so many times based on false perceptions) with the incontestable reality offered by the direct applications of the mathematical model of the lotto game. As a must-have handbook for any lottery player, this book offers essential information about the game itself and can provide the basis for gaming decisions of any kind.




Understanding Lottery Mathematics


Book Description

In the subsequent contents you will find a detailed explanation of the mathematical groundworks of sweepstakes, without recurring to intricate formulas or terms. This will be done through examples of real draws, and in some instances by analyzing errors found in official lottery websites. This book does not promise you any secret or system to win the lottery. If there were a systematic way of predicting a winning combination, the numerous authors of the large amount of books on lottery systems would now be millionaires themselves, and would not be selling their findings cheaply.




The Lottery Book


Book Description

This book should be read by everyone who plays the state-run lotteries. Despite the fact that we players all know 'the odds are a million to one' against winning those big jackpots, most of us don't know the nature of these games or the math behind them or, yes, how to most effectively play them. In this groundbreaking book, you will learn: How to increase your chances of winning a jackpot that doesn't have to be shared with other players; How to tell when a jackpot becomes a 'positive expectation' bet and what that really means; How to keep the long arm of the government from getting its hands on significant portions of your wins; How to figure the odds on the various lotteries and the typical scratch-off tickets; How to find 'positive expectation' scratch-off games during special promotions.




Probability Guide to Gambling


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.




Mathematics of Keno and Lotteries


Book Description

Mathematics of Keno and Lotteries is an elementary treatment of the mathematics, primarily probability and simple combinatorics, involved in lotteries and keno. Keno has a long history as a high-advantage, high-payoff casino game, and state lottery games such as Powerball are mathematically similar. MKL also considers such lottery games as passive tickets, daily number drawings, and specialized games offered around the world. In addition, there is a section on financial mathematics that explains the connection between lump-sum lottery prizes (as with Powerball) and their multi-year annuity options. So-called "winning systems" for keno and lotteries are examined mathematically and their flaws identified.




Playing Smarter, Using Math


Book Description

Amazon best-selling author and professor of Mathematics Professor B.D. uses his teaching talents to explain the mathematics behind the Powerball lottery, and uses statistics in a way that anyone can learn and understand to introduce a new, 'smarter' method on how to play the lottery. As he promises there are no tricks or gimmicks here, just sound mathematical principals.




Math with Bad Drawings


Book Description

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.




How Not to Be Wrong


Book Description

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.




Casanova's Lottery


Book Description

"In 1994, historian Stephen Stigler placed a mail-order purchase for a rare bit of ephemera from a French bookstore: a lottery Almanac from 1834. It contained the winning numbers for the entire span of the French Loterie from 1758 onward, including details on prizes actually awarded-difficult data to come by-as well as hand-written notes by an early owner. Stigler was fascinated with what he saw about how the Loterie was carried out, who bought tickets, and what size bets they placed, and so in the decades that followed he amassed booklets, legal documents, advertising bills, notices, contracts, and tickets. His own collection and extensive additional research helped him piece together the Loterie's remarkable inner workings, as well as its implications for how we understand the history of risk more broadly. In the 1750s at the urging of famed philandering adventurer Giocomo Casanova (who had recently escaped from a Venetian prison by means of a sharpened iron, an accomplice, a rope of bed sheets, and a stolen gondola), the French state began to embrace risk in its approach to the Loterie. The prize amounts varied depending on the number of tickets bought, and the amount of the bet was determined by each individual bettor. The state could lose money on any individual lot but was statistically guaranteed it would come out on top in the long run. Stigler follows the Loterie from its curious inception to a 1776 expansion, to its interruption during the French Revolution (but only with the Terror of 1793), to its renewal in 1797 and further expansion, and finally to its suppression in 1836, examining throughout the wider question of how members of the public came to trust in new financial technologies and believe in their value"--




The Perfect Bet


Book Description

"An elegant and amusing account" of how gambling has been reshaped by the application of science and revealed the truth behind a lucky bet (Wall Street Journal). 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.