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

Answer 1

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