Question
$\text{If}\ \text{P}(\text{A})=0.8,\ \text{P}(\text{B})=0.5\ \text{and}\ \text{P}(\text{B}|\text{A})=0.4,\ \text{find}:$
$ \text{P}(\text{A}|\text{B})$

Answer

$\text{P}\left(\text{A}|\text {B}\right)=\frac{\text{P}\left(\text{A}\cap\text{B}\right)}{\text{P}\left(\text{B}\right)}=\frac{0.32}{0.50}=\frac{32}{50}=0.64$

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