Q.Let $P(A)=\dfrac{3}{5}$ and $P(B)=\dfrac{1}{5}$. Find $P(A\cap B)$ if $A$ and $B$ are independent events.

For independent events $P(A\cap B)=P(A)\cdot P(B)=\dfrac{3}{25}$.

Two events $A$ and $B$ are independent when the occurrence of one does not affect the probability of the other. For such events the multiplication rule simplifies to:

$P(A\cap B)=P(A)\times P(B).$

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