Inequalities for Stochastic Process (How to Gamble if You Must).

The Theory of Gambling and Statistical Logic.The Mathematics of Games and Gambling.One of the simplest strategies for varying bets is studied in the discussion of the Petersburg Problem.The chapter Finite Sampling Models has a thorough discussion of such sampling models. Many of the games we have studied in this chapter can be viewed, in statistical terms, as sampling from a finite population.Such random processes are studied in detail in Chapter 10 on Bernoulli trials. For several of the models in this chapter, the gambler either wins or loses, independently from game to game, and with the same probability.In the last four sections on the game of red and black, we study various types of gambling strategies, a study which leads to some deep and fascinating mathematics.

Lotteries are now basic ways that governments and other institutions raise money.

The Monty Hall problem is based on a TV game show, and has become famous because of the controversy that it generated. Roulette, craps, and Keno are casino games. In this chapter, we explore some of the most common and basic games of chance. Games of chance hold an honored place in probability theory, because of their conceptual clarity and because of their fundamental influence on the early development of the subject.

Gambling games list