CUET · MATHS · PYQ PAPER 2025
A can solve \(90 \%\) problems and B can solve \(70 \%\) problems of the book. A problem is selected at random from the book. The probability that the problem is solved, is equal to
- A 0.87
- B 0.85
- C 0.63
- D 0.97
Answer & Solution
Correct Answer
(D) 0.97
Step-by-step Solution
Detailed explanation
\(P(A) = 0.90\) \(P(B) = 0.70\) \(P(\text{not solved}) = P(A') \cdot P(B') = (1 - 0.90) \cdot (1 - 0.70)\) \(P(\text{not solved}) = 0.10 \cdot 0.30 = 0.03\) \(P(\text{solved}) = 1 - P(\text{not solved}) = 1 - 0.03\) \(P(\text{solved}) = 0.97\)
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