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 $i=1,2,\cdots , n$.

## Related Resources

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