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  • In the following Exercise 17 choose the correct answer: If A and B are events such that P (A|B) = P (B|A), then

13.17.    In the following Exercise 17 choose the correct answer:

               If A  and B are events such that  P(A\mid B)=P(B\mid A),  then

             (A)  A\subset B but A\neq B

             (B)  A=B

            (C)  A\cap B=\psi

            (D)  P(A)=P(B)

Answers (1)

best_answer

It is given that P(A\mid B)=P(B\mid A),

 \Rightarrow                   \frac{P(A\cap B)}{P(B)}=\frac{P(A\cap B)}{P(A)}

\Rightarrow                   P(A)=P(B)

Hence, option D is correct.

Posted by

seema garhwal

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