Bayes rule


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).