Bayes’ Probability Calculator
Formula:
Bayes
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 $S$
$$ \begin{equation*} P(A_i/B) =\frac{P(A_i) A(B/A_i)}{\sum_{i=1}^n P(A_i) A(B/A_i)} \end{equation*} $$
for $i=1,2,\cdots , n$.