Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P(exactly...

Question

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

Accepted Answer

(A)

JEE Main 2021 Mathematics question