CUET · MATHS · PYQ PAPER 2025
If \(P(A)=\frac{3}{5}, P(B)=\frac{1}{2}\) and \(P(A \cap B)=\frac{1}{4}\), then \(P(\bar{A} \mid \bar{B})\) is
- A \(\frac{3}{40}\)
- B \(\frac{3}{10}\)
- C \(\frac{17}{20}\)
- D \(\frac{17}{40}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{10}\)
Step-by-step Solution
Detailed explanation
\(P(A \cup B) = P(A) + P(B) - P(A \cap B) = \frac{3}{5} + \frac{1}{2} - \frac{1}{4} = \frac{12+10-5}{20} = \frac{17}{20}\) \(P(\bar{A} \cap \bar{B}) = P(\overline{A \cup B}) = 1 - P(A \cup B) = 1 - \frac{17}{20} = \frac{3}{20}\)…
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