Aman can hit a target 2 times in 5 shots Akash can hit the target 3 times in 4 shots and Raman can h...........

Quantitative Aptitude (CDS) Probability

Aman can hit a target 2 times in 5 shots, Akash can hit the target 3 times in 4 shots and Raman can hit the 5 times in 5 shots. What is the probability that at least 2 shots (out of 1 shot taken by each one of them) hit the target?

17/20

1/20

1/17

1/15

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Explanation:

Raman hits the target 5 times in 5 shots. Hence, he hits the target definitely.
The required probability, therefore, is given by
P( both Aman and Akash hit ) + P ( Aman hits, Akash does not hit ) + P ( Aman does not hit, Akash hit )
= 2/5×3/4 + 2/5×1/4 + 3/5 ×3/4
= ( 6+2+9)/20
= 17/20