This article contains a description of the important mathematical concepts of probability theory, illustrated by some of the applications that have stimulated their development.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several …

Oct 16, 2025 · The mathematical theory of probability is the same regardless of one’s interpretation of the concept, although the importance attached to various results can depend very much on the …

Nov 14, 2025 · Probability and statistics, the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical …

Oct 16, 2025 · The problem of approximate computation of probabilities that are known in principle is a recurrent theme throughout the history of probability theory and will be discussed in more detail below.

Nov 14, 2025 · Bayes’s theorem, in probability theory, a means for revising predictions in light of relevant evidence, also known as conditional probability or inverse probability.

Nov 28, 2025 · He and his contemporaries were developing a formal probability theory with a view toward analyzing games of chance. Bernoulli envisaged an endless sequence of repetitions of a …

Théorie analytique des probabilités (Analytic Theory of Probability), first published in 1812, in which he described many of the tools he invented for mathematically predicting the probabilities that particular …

Oct 16, 2025 · Probability theory - Birthday Problem, Statistics, Mathematics: An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same …

Oct 16, 2025 · Probability theory - Applications, Conditional, Probability: An application of the law of total probability to a problem originally posed by Christiaan Huygens is to find the probability of “gambler’s …