CUET · MATHS · PYQ PAPER 2025
Three students, A, B and C can respectively solve \(50\%, 25\%\) and \(20\%\) of the problems in a book. A particular problem is selected at random from the book. The probability that at least one of them will solve the problem is
- A \(\frac{3}{20}\)
- B \(\frac{17}{20}\)
- C \(\frac{7}{10}\)
- D \(\frac{3}{10}\)
Answer & Solution
Correct Answer
(C) \(\frac{7}{10}\)
Step-by-step Solution
Detailed explanation
\(P(\text{A solves}) = 0.5\) \(P(\text{B solves}) = 0.25\) \(P(\text{C solves}) = 0.2\) \(P(\text{A does not solve}) = 1 - 0.5 = 0.5\) \(P(\text{B does not solve}) = 1 - 0.25 = 0.75\) \(P(\text{C does not solve}) = 1 - 0.2 = 0.8\)…
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