If C and D are two events such that C D and P(D) ≠ 0 , then the correct statement among the following is: - Mathematics MCQ FIITJEE AIEEE 2011 (Set Q) 2026 | ExamTest.live

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If C and D are two events such that C \subset D and P (D) \neq = 0, then the correct statement among the following is:

Solution & Step-by-step Explanation

P (C ∣ D) = \frac{P ( C \cap D )}{P ( D )} .Since C \subset D, then C \cap D = C .So P (C ∣ D) = \frac{P ( C )}{P ( D )} .Since P (D) \leq 1, then \frac{1}{P ( D )} \geq 1 .Therefore P (C ∣ D) \geq P (C) .

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If C and D are two events such that C \subset D and P (D) \neq = 0, then the correct statement among the following is:

P (C ∣ D) \geq P (C)

P (C ∣ D) < P (C)

P (C ∣ D) = P (C) / P (D)

P (C ∣ D) = P (C)

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