Q14 of 105 Page 555

If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?

Given: A and B are two events such that A ⊂ B and P(B) ≠ 0

As A ⊂ B ⇒ A ∩ B = A


⇒ P(A ∩ B) = P(A)


As A ⊂ B ⇒ P(A) < P(B)


As we know


consider



it is also known that P(B) ≤ 1




⇒ P(A|B) ≥ P(A) …(3)


Hence, the correct answer is (C).

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