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Sam can hit a target 1 time in 4 shots, Jack can hit the target 2 times in 4 shots and Raj can hit the target 6 times in 6 shots. If each of them fires one shot at the target, what is the…

Question and options

Sam can hit a target 1 time in 4 shots, Jack can hit the target 2 times in 4 shots and Raj can hit the target 6 times in 6 shots. If each of them fires one shot at the target, what is the probability that at least 2 shots hit the target?
  1. 23\dfrac{2}{3}
  2. 12\dfrac{1}{2}
  3. 58\dfrac{5}{8}
  4. 34\dfrac{3}{4}

Answer and explanation

Correct answer: C - \(\dfrac{5}{8}\)
P(Sam)=1/4, P(Jack)=1/2, P(Raj)=1 (always hits). At least 2 hits = at least one of Sam/Jack hits = 1 - (3/4)(1/2) = 5/8.

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