Question

If $P(A)=\frac 35$ and $P(B)=\frac 15$, find $P(A∩B$) if A and B are independent events.

Answer 1

As A and B are independent events. Therefore,

$P(A∩B)=P(A).P(B)$

$P(A∩B) =\frac {3}{5}×\frac {1}{5}$

$P(A∩B) =\frac {3}{25}$