CUET · MATHS · PYQ PAPER 2025
If \(A\) and \(B\) are two events such that \(P(A \mid B)=P(B \mid A)\), and \(A \cap B \neq \emptyset\), then :
- A \(P(A)=1\)
- B \(P(A)=P(B)\)
- C \(P(B)=1\)
- D \(P(A \cap B)=0\)
Answer & Solution
Correct Answer
(B) \(P(A)=P(B)\)
Step-by-step Solution
Detailed explanation
\(\frac{P(A \cap B)}{P(B)} = \frac{P(B \cap A)}{P(A)}\) \(\frac{1}{P(B)} = \frac{1}{P(A)}\) \(P(A) = P(B)\)
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