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Question
If A and B are independent events such that P(A) = p, P(B) = 2p and P(Exactly one of A, B) = `5/9`, then p = ______.
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Solution
If A and B are independent events such that P(A) = p, P(B) = 2p and P(Exactly one of A, B) =`5/9`, then p = `1/3, 5/12`.
Explanation:
p = `1/3, 5/12` ....`[(1 - "p")(2"p") + "p"(1 - 2"p") = 3"p" - 4"p"^2 = 5/9]`
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