CUET · MATHS · PYQ PAPER 2025
In a college, 30 % students fail in Physics, 25 % fail in Mathematics and 10 % fail in both. One student is chosen at random. The probability that she fails in Physics if she has failed in Mathematics is
- A \(\frac{2}{5}\)
- B \(\frac{1}{5}\)
- C \(\frac{9}{10}\)
- D \(\frac{3}{10}\)
Answer & Solution
Correct Answer
(A) \(\frac{2}{5}\)
Step-by-step Solution
Detailed explanation
\( P(P \cap M) = 0.10 \) \( P(M) = 0.25 \) \( P(P|M) = \frac{P(P \cap M)}{P(M)} = \frac{0.10}{0.25} \) \( P(P|M) = \frac{10}{25} = \frac{2}{5} \)
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