# Bayes rule

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Related to Bayes rule: conditional probability

## Bayes rule

[′bāz ‚rül]
(statistics)
The rule that the probability P (Ei | A) of some event Ei, given that another event A has been observed, is P (Ei) P (A | Ei)/ P (A), where P (Ei) is the prior probability of Ei, determined either objectively or subjectively, and P (A), the probability of A, is given by the sum over all possible events Ej of the quantity P (Ej) P (A | Ej).
References in periodicals archive ?
In other words, when I ask myself deep philosophical questions such as Descartes asked--or, in principle, when I ask questions of a more immediate practical sort--I answer (more or less) in terms of Bayes Rule.
In short, I seem to form my opinions (usually implicitly) more or less in accord with Bayes rule.
Savage RDM (Rational Decision Maker) I would hold many hypotheses--perhaps an infinity of them--in my head simultaneously, and would shift my beliefs from their prior values, before this instant, to posterior values according to Bayes rule.
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