If A and B are two events such that P(A) = $\frac{4}{5}$ and P(B/A) = $\frac{7}{8}$ then P(A ∩ B) is equal to ______.

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KollegeApply · Accepted Answer

If A and B are two events such that P(A) = $\frac{4}{5}$ and P(B/A) = $\frac{7}{8}$ then P(A ∩ B) is equal to bbunderline($\frac{7}{10}$). Explanation: Given that, P(A) = $\frac{4}{5}$, P(B/A) = $\frac{7}{8}$,P(A∩B) = ∵ P(A ∩ B) = P(A) . P(B/A) On putting values, P(A ∩ B) = $\frac{4}{5}$$\times$$\frac{7}{8}$ = $\frac{7}{10}$ $\therefore$ Option $\frac{7}{10}$ is correct.

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