# 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).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
According to Bayes rules and the law of iterated conditional expectation, [I.sub.2] can be calculated under [Q.sup.S]:
As an example of the use of Bayes rule, suppose that a ball either red or black--is to be drawn from one of two urns.
Many such well-known systems (such as C4.5, based on conditional entropy or CART, based on Bayes rule) are equipped with their own discretization schemes.
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