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CUET · MATHS · PYQ PAPER 2023

Probabilities to solve a specific problem by A, B and C are \(\frac{1}{2}, \frac{1}{3}\) and \(\frac{1}{4}\ respectively. Probability that at least one will solve the problem is:

  1. A \(\frac{1}{24}\)
  2. B \(\frac{1}{4}\)
  3. C \(\frac{23}{24}\)
  4. D \(\frac{3}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{3}{4}\)

Step-by-step Solution

Detailed explanation

\( P(\text{A' solves}) = 1 - \frac{1}{2} = \frac{1}{2} \) \( P(\text{B' solves}) = 1 - \frac{1}{3} = \frac{2}{3} \) \( P(\text{C' solves}) = 1 - \frac{1}{4} = \frac{3}{4} \)…