Question

Compute $100\times P\left(A|B\right)$, if $P\left(B\right)=0.5$ and $P(A\cap B)=0.32$.

Answer 1

It is given that $P\left(B\right)=0.5$ and $P(A\cap B)=0.32$
$\Rightarrow P\left(\frac{A}{B}\right)=\frac{P(A\cap B)}{P\left(B\right)}=\frac{0.32}{0.5}=\frac{16}{25}=0.64$.