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Question:

If C and D are two events such that C ⊆ D and P(D) ≠ 0, then the correct statement among the following is?

P(C|D) ≥ P(C)

P(C|D) < P(C)

P(C|D) = P(D)P(C)

P(C|D) = P(C)

Solution:

P(C|D) = P(C ∩ D)/P(D) = P(C)/P(D) ≥ P(C) (Since 0 < P(D) ≤ 1) So, P(C|D) ≥ P(C) Hence, option 'A' is correct.