CUET · MATHS · PYQ PAPER 2025
Let \(E\) and \(F\) be two events such that \(P(E)=\frac{1}{3}, P(F)=\frac{1}{4}\) and \(P(E \cap F)=\frac{1}{5}\).
Then the value of \(P(F \mid E)\) is equal to
- A \(\frac{4}{5}\)
- B 1
- C \(\frac{3}{5}\)
- D \(\frac{1}{12}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{5}\)
Step-by-step Solution
Detailed explanation
\(P(F \mid E) = \frac{P(F \cap E)}{P(E)}\) \(P(F \mid E) = \frac{\frac{1}{5}}{\frac{1}{3}}\) \(P(F \mid E) = \frac{3}{5}\)
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