class 12 maths probability

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

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📘 Probability NCERT,EX.13.2,Q.1,Page.546 SA

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

Official Solution

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As $A$ and $B$ are independent events,

$P(A \cap B) = P(A)P(B) = \cfrac{3}{5} \times \cfrac{1}{5} = \cfrac{3}{{25}}$

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