A, B are two independent events such that P ( A ) > 2 1 P ( B ) > 2 1 . If P ( A ∩ B ˉ ) = 25 3 and P ( A ˉ ∩ B ) = 25 8 then P ( A ∩ B ) =

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MathematicsProbabilityIndependent eventsMedium2 minQB

MathematicsMediumsingle choice

A, B are two independent events such that $P (A) > \frac{1}{2} P (B) > \frac{1}{2}$ . If $P (A \cap \overset{ˉ}{B}) = \frac{3}{25}$ and $P (\overset{ˉ}{A} \cap B) = \frac{8}{25}$ then $P (A \cap B) =$

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Solution:

Let $P (A) = x$ and $P (B) = y . x > 1/2, y > 1/2$ $P (A - B) = x - x y = 3/25 and P (B - A) = y - x y = 8/25$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Independent events

⏱ 2mℹ️ Source: QB

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