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Question
If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then P(At least two of A, B, C occur) = 3p2 – 2p3
Options
True
False
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Solution
This statement is True.
Explanation:
Since P(atleast two of A, B and C occur)
= p × p × (1 – p) + (1 – p) . p . p + p(1 – p).p + p . p . p
= 3p2(1 – p) + p3
= 3p2 – 3p3 + p3
= 3p2 – 2p3
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