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CUET · MATHS · PYQ PAPER 2023

Amit, Sumit and Puneet were doing shooting.
Amit hits the target 4 times in 5 shots, Sumit hits the target 3 times in 4 shots and Puneet hits the target 2 times in 3 shots.
Then the probability that Amit, Sumit and Puneet all may hit the target is:

  1. A \(\frac{1}{5}\)
  2. B \(\frac{2}{5}\)
  3. C \(\frac{3}{5}\)
  4. D \(\frac{4}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2}{5}\)

Step-by-step Solution

Detailed explanation

\(P(Amit) = \frac{4}{5}\) \(P(Sumit) = \frac{3}{4}\) \(P(Puneet) = \frac{2}{3}\) \(P(\text{all hit}) = P(Amit) \times P(Sumit) \times P(Puneet)\) \(P(\text{all hit}) = \frac{4}{5} \times \frac{3}{4} \times \frac{2}{3}\) \(P(\text{all hit}) = \frac{24}{60}\)…