Explores concept of probability, surveys rules for addition and multiplication of probabilities, conditional probability, total probability, Bayes formula, Bernoulli's scheme, random variables, the Chebychev inequality, distribution curves, and the means by which an event is declared to be in practice impossible.
Here's a sample of other books in this Dover category
Statistical and Inductive Probabilities by Hugues Leblanc This treatment addresses a decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. 1962 edition.
A Philosophical Essay on Probabilities by Marquis de Laplace Without the use of higher mathematics, this classic demonstrates the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas.
Chance, Luck, and Statistics by Horace C. Levinson In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. "Clear and lively ... remarkably accurate." — Scientific Monthly.
Lectures on the Coupling Method by Torgny Lindvall Practical and easy-to-use reference progresses from simple to advanced topics, covering, among other topics, renewal theory, Markov chains, Poisson approximation, ergodicity, and Strassen's theorem. 1992 edition.
Gaussian Processes, Function Theory, and the Inverse Spectral Problem by H. Dym, H. P. McKean This text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian processes, strings and spectral functions, and strings and spaces of integral functions. 1976 edition.