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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(B)
C. P(B \mid A)>P(B)
D. P(B \mid A)=P(B)
CBSE | Class 12 | Maths | NCERT | Probability
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(B)
C. P(B \mid A)>P(B)
D. P(B \mid A)=P(B)

Solution:

Answer: C. P(B \mid A)>P(B)
Given in the question that, thus evaluating the value of parameters we have

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

\therefore \frac{P(A \cap B)}{P(B)}>P(A)

P(A \cap B)>P(A) \cdot P(B)

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

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

Hence, option C is correct

 

 

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