CUET · MATHS · PYQ PAPER 2025
The probability that A hits a target is \(\frac{1}{5}\) and the probability that B hits it is \(\frac{2}{3}\) The probability that the target will be hit if both A and B shoot at it independently is:
- A \(\frac{11}{15}\)
- B \(\frac{1}{15}\)
- C \(\frac{2}{15}\)
- D \(\frac{4}{15}\)
Answer & Solution
Correct Answer
(A) \(\frac{11}{15}\)
Step-by-step Solution
Detailed explanation
\(P(A') = 1 - \frac{1}{5} = \frac{4}{5}\) \(P(B') = 1 - \frac{2}{3} = \frac{1}{3}\) \(P(\text{not hit}) = P(A') \times P(B') = \frac{4}{5} \times \frac{1}{3} = \frac{4}{15}\) \(P(\text{hit}) = 1 - P(\text{not hit}) = 1 - \frac{4}{15} = \frac{11}{15}\)
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