If P(A|B) > P(A), then which of the following is correct ...

NCERT Class XII Mathematics Chapter - - Solutions

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Question : 100 of 101

Marks: +1, -0

If P(A|B) > P(A), then which of the following is correct :

P(B|A) < P
P(A ∩ B) < P(A). P(B)
P(B|A) > P(B)
P(B|A) = P(B)

Solution:

P(A|B)>P(A)
⇒

P(A∩B)

P(B)

>P(A)
⇒ P(A ∩ B) > P(A).P(B)
⇒

P(A∩B)

P(A)

>P(B)
⇒P(B|A)>P(B).

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