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Question:

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

Solution:

It is given that $\mathrm{P}(\mathrm{A})=\frac{3}{5}$ and $\mathrm{P}(\mathrm{B})=\frac{1}{5}$

A and B are independent events. Therefore,

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

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