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

Q. 18.     If P(A\mid B)> P(A),  then which of the following is correct :

               (A) P(B\mid A)< P(B)

               (B) P(A\cap B)< P(A).P(B)

               (C) P(B\mid A)> P(B)

               (D)P(B\mid A)= P(B)

Answers (1)

best_answer

P(A\mid B)> P(A)

\Rightarrow \, \, \frac{P(A\cap B)}{P(B)}> P(A)

\Rightarrow \, \, P(A\cap B)> P(A).P(B)

\Rightarrow \, \, \frac{P(A\cap B)}{P(A)}> P(B)

\Rightarrow \, \, P(B|A)> P(B)

Option C is  correct.

Posted by

seema garhwal

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