If C and D are two events such that C Ì D and P(D) ¹ 0, then the correct statement among the following is :

Engineering

Mathematics

Conditional Probability

Question

P(C | D) < P(C)

$P (C ∣ D) = \frac{P (D)}{P (C)}$

P(C | D) = P(C)

P(C | D) ³ P(C)

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The correct option is D

P(C | D) ≥ P(C)

$P (C ∣ D) = \frac{P (C \cap D)}{P (D)} = \frac{P (C)}{P (D)}$

and 0 < P(D) ≤ 1

$\frac{P (C)}{P (D)} \geq P (C)$

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