# Bayes' theorem

[beyz, bey-ziz]

- a theorem describing how the conditional probability of each of a set of possible causes, given an observed outcome, can be computed from knowledge of the probability of each cause and of the conditional probability of the outcome, given each cause.

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## Origin of Bayes' theorem^{}

see origin at Bayesian

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

# Bayes' theorem

- 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 E n is one of a set of values E i which partition the sample space, P (E n /A) = P (A/E n) P (E n) / Σ P (A/E i) P (E i). This enables prior estimates of probability to be continually revised in the light of observations

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## Word Origin

C20: named after Thomas Bayes (1702–61), English mathematician and Presbyterian minister

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