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If a and B Are Two Events Such that a ⊂ B and P (B) ≠ 0, Then Which of the Following is Correct? - CBSE (Science) Class 12 - Mathematics

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Question

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

A. `P(A |B) = (P(B))/(P(A))`

B. P(A|B) < P(A)

C. `P(A|B) >= P(A)`

D. None of these

Solution

If A ⊂ B, then A ∩ B = A

⇒ P (A ∩ B) = P (A)

Also, P (A) < P (B)

Thus, from (3), it can be concluded that the relation given in alternative C is correct.

  Is there an error in this question or solution?

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Solution If a and B Are Two Events Such that a ⊂ B and P (B) ≠ 0, Then Which of the Following is Correct? Concept: Baye'S Theorem.
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