# Compute P(A|B), if P(B) = 0.5 and P (A $\cap$ B) = 0.32

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• $$P(A/B)=\Large\frac{P{(A\cap\;B)}}{P(B)}$$
$$P(B)=0.5\;p(A\cap\:B)=0.32$$
$\Rightarrow$ $$P(A/B)=\large\frac{0.32}{0.5}=\frac{32}{50}=\frac{16}{25}$$
edited Jun 18, 2013