Question

If A and B are two events such that P (A) ≠ 0 and P(B|A) = 1, then. (A) A ⊂ B (B) B ⊂ A (C) B = Φ (D) A = Φ

Answer 1

It is given that, P( A )≠0 and P( B|A )=1 .

This statement means event B is sure to happen after occurrence of event A.

The formula for P( B|A ) is,

P( B|A )= P( B∩A ) P( A ) P( A )=P( B∩A ) A⊂B It means A is a subset of B.

Thus, out of all the four options, option (A) is correct.