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

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14.Probability

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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

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