# Elementary events

From Encyclopedia of Mathematics

An initial concept in a probability model. In the definition of a probability space the non-empty set is called the space of elementary events and any point is an elementary event. In an informal approach, describes the set of all outcomes of a certain random experiment and an elementary event corresponds to an elementary outcome: the experiment ends with one and only one elementary outcome, these outcomes are indecomposable and mutually exclusive. There is a fundamental difference between an elementary event , a point of , and the event , an element of a certain class of sets . See Probability theory; Probability space; Random event.

**How to Cite This Entry:**

Elementary events.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Elementary_events&oldid=16149

This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article