CUET · MATHS · PYQ PAPER 2025
If \(A\) and \(B\) are independent events such that \(P(A \mid B)=\frac{1}{3}\) and \(P(B)=\frac{1}{2}\), then the value of \(P(A \cap B)\) is equal to :
- A \(\frac{1}{3}\)
- B \(\frac{1}{6}\)
- C \(\frac{1}{12}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{6}\)
Step-by-step Solution
Detailed explanation
\(P(A) = P(A \mid B) = \frac{1}{3}\). \(P(A \cap B) = P(A) \cdot P(B) = \frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}\).
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