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

$\begin{array}{1 1} \frac{3}{25} \\ \frac{1}{5} \\ \frac{3}{5} \\ \frac{1}{25} \end{array}$

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• If A and B are independant events, $$P(A\cap\;B)=P(A)\;P(B)$$
Given $$\;P(A)=\large \frac{3}{5}$$ and $$\;P(B)=\large \frac{1}{5}$$
$$\Rightarrow \;P(A\cap\;B)=\large \frac{3}{5}\times\frac{1}{5}=\frac{3}{25}$$
answered Jun 19, 2013