Question

If $P\left(A\right)=\frac{3}{5}$ and $P\left(B\right)=\frac{1}{5}$, find $100P(A\cap B)$ if $A$ and $B$ are independent events.

Answer 1

It is given that $P\left(A\right)=\frac{3}{5}$ and $P\left(B\right)=\frac{1}{5}$
$A$ and $B$ are independent events. Therefore,

$P(A\cap B)=P\left(A\right)\cdot P\left(B\right)=\frac{3}{5}\cdot \frac{1}{5}=\frac{3}{25}=0.12$
$100P(A\cap B)=12$