Question:

Let A and B be two events such that 0 < P(A) < 1 and 0 < P(B) < 1. Then which one of the following statements is NOT true ?

Updated On: Oct 1, 2024
  • If A(A|B) > P(A), then P(B|A) > P(B)
  • If P(A ∪ B) = 1, then A and B cannot be independent
  • If P(A|B) > P(A), then P(Ac|B) < P(Ac)
  • If P(A|B) > P(A), then P(Ac|Bc) < P(Ac)
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The Correct Option is D

Solution and Explanation

The correct option is (D) : If P(A|B) > P(A), then P(Ac|Bc) < P(Ac).
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