Let A and B be independent events such that... | Probability | JEE Main 2021

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JEE Main 2021

26-08-2021 S1

Question

Let $A$ and $B$ be independent events such that $P(A)=p, P(B)=2 p$. The largest value of $p$, for which $P$ (exactly one of $A, B$ occurs) $=\frac{5}{9}$, is :

Select the correct option:

A

$\frac{1}{3}$

B

$\frac{2}{9}$

C

$\frac{4}{9}$

D

$\frac{5}{12}$

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