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14.Probability
easy
If $P(A)=\frac{3}{5}$ and $P(B)=\frac{1}{5},$ find $P(A \cap B)$ if $A$ and $B$ are independent events
A
$\frac{3}{25}$
B
$\frac{3}{25}$
C
$\frac{3}{25}$
D
$\frac{3}{25}$
Solution
It is given that $P(A)=\frac{3}{5}$ and $P(B)=\frac{1}{5}$
$A$ and $B$ are independent events. Therefore,
$P(A \cap B)=P(A) P(B)=\frac{3}{5} \cdot \frac{1}{5}=\frac{3}{25}$
Standard 11
Mathematics