Question

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

Answer 1

Given:

$P\left(A\right)=\frac{3}{5}$

$P\left(B\right)=\frac{1}{5}$

and $A$ and $B$ are independent events.

We know that, $P(A\cap B)=P\left(A\right)P\left(B\right)$ and $A$ and $B$ are independent events.

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