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# Bayes' theorem

[ beyz, bey-ziz ]

/ beɪz, ˈbeɪ zɪz /

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noun Statistics.

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

## Words nearby Bayes' theorem

bayberry, Bay City, Bayelsa, Bayern, Bayesian, Bayes' theorem, Bayeux, Bayeux tapestry, Bayezid II, bay-head bar, bay ice

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

## How to use Bayes' theorem in a sentence

## British Dictionary definitions for Bayes' theorem

Bayes' theorem

/ (beɪz) /

noun

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

## Word Origin for Bayes' theorem

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

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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