Question

If $P\left(A\right)=\frac{3}{5}$ and $P\left(B\right)=\frac{1}{5}$, find $P(A\cap B)$ if A and B are independent events.

Answer 1

Since, A and B are independent events. Therefore,

$P(A\cap B)=P\left(A\right)\times P\left(B\right)$

$P(A\cap B)=\frac{3}{5}\times \frac{1}{5}=\frac{3}{25}$