## Bayes Probability Calculator

- STATISTICS

Bayes’ Probability Calculator Bayes Probability Calculator Event $P(A_k)$ $P(B|A_k)$ Event $A_1$ Event $A_2$ Calculate Results Total Probability $P(B)$ $P(A_1|B)$ $P(A_2|B)$ Formula $$ \begin{aligned} P(A|B) &=\frac{P(A)P(B|A)}{P(B)}\\ &= \frac{P(A)P(B|A)}{P(A)P(B|A)+P(A^\prime)P(B|A^\prime)} \end{aligned} $$
For more than one event:
Let $A_1, A_2, \cdots, A_n$ are mutually exclusive and exhaustive events of the sample space $S$ and if $P(A_i)\neq 0$, $i=1,2,\cdots,n$, then for any event $B$ of the sample space $S$