# Bayes' theorem

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Related to Bayes formula: conditional probability, Bayes rule

## Bayes' theorem

(beɪz)*n*

(Statistics)

*statistics*the fundamental result which expresses the conditional probability*P*(*E/A*) of an event*E*given an event*A*as*P*(*A/E*).*P*(*E*)*/P*(*A*); more generally, where*En*is one of a set of values*Ei*which partition the sample space,*P*(*En/A*) =*P*(*A/En*)*P*(*En*)*/*Σ*P*(*A/Ei*)*P*(*Ei*). This enables prior estimates of probability to be continually revised in the light of observations[C20: named after Thomas

*Bayes*(1702–61), English mathematician and Presbyterian minister]ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | Bayes' theorem - (statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each causetheorem - an idea accepted as a demonstrable truth statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters |

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