CUET · MATHS · PYQ PAPER 2025
If \(P(A)=\frac{3}{10}, P(B)=\frac{2}{5}\) and \(P(A \cup B)=\frac{3}{5}\), then the value of \(P(B \mid A)+P(A \mid B)\) is :
- A \(\frac{3}{4}\)
- B \(\frac{2}{3}\)
- C \(\frac{1}{6}\)
- D \(\frac{7}{12}\)
Answer & Solution
Correct Answer
(D) \(\frac{7}{12}\)
Step-by-step Solution
Detailed explanation
\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\) \(P(A \cap B) = \frac{3}{10} + \frac{2}{5} - \frac{3}{5} = \frac{3}{10} + \frac{4}{10} - \frac{6}{10} = \frac{1}{10}\) \(P(B \mid A) = \frac{P(A \cap B)}{P(A)} = \frac{1/10}{3/10} = \frac{1}{3}\)…
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