P can hit a target 4 times in 5 shots Q 3 times in 4 shots and R twice in 3 shots They fire simultan...........

Quantitative Aptitude ( CCS) Probability

P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, twice in 3 shots,. They fire simultaneously. What is the probability that at least 2 shots hit?

1/2

2/3

1/3

5/6

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Explanation:

P (hitting the target) = 4/5
P (not hitting the target) = 1/5
Q (hitting the target) = 3/4
Q (not hitting the target) = 1/4
R (hitting the target) = 2/3
R (not hitting the target) = 1/3
Required probability is PQR¯ + PQ¯R + P¯QR + PQR
= 1/5 + 1/10 + 2/15 + 2/5 = 5/6

Hence, option 4 is the correct answer.