$P(E) = 0.2$, $P(A \mid E) = 0.5$ and $P(A) = 0.25$. What is $P(E \mid A)$?

Explanation

1. 01

   $P(E \mid A) = \frac{P(E)\,P(A \mid E)}{P(A)}$.

2. 02

   $\frac{0.2 \times 0.5}{0.25} = \frac{0.1}{0.25} = 0.4$.