Category:Bayes' Theorem

This category contains pages concerning Bayes' Theorem:

Let $\Pr$ be a probability measure on a probability space $\struct {\Omega, \Sigma, \Pr}$.

Let $\condprob A B$ denote the conditional probability of $A$ given $B$.

Let $\map \Pr A > 0$ and $\map \Pr B > 0$.

Then:

$\condprob B A = \dfrac {\condprob A B \, \map \Pr B} {\map \Pr A}$