Oct 16, 2025 · This article contains a description of the important mathematical concepts of probability theory, illustrated by some of the applications that have stimulated their development.

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 17, 2025 · Conditional probability is the probability that an event occurs given the knowledge that another event has occurred.

Nov 14, 2025 · The probability of all possible outcomes is factored into the calculations for expected value in order to determine the expected outcome in a random trial of an experiment.

Probability is usually expressed as the ratio between the number of ways an event can happen and the total number of things that can happen (e.g., there are 13 ways of picking a diamond from a deck of …

Oct 16, 2025 · As a final example, it seems appropriate to mention one of the dominant ideas of modern probability theory, which at the same time springs directly from the relation of probability to games of …

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 …

Nov 18, 2025 · Stochastic process, in probability theory, a process involving the operation of chance. For example, in radioactive decay every atom is subject to a fixed probability of breaking down in any …

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.