Two of them hit ........

Quantitative Aptitude ( CCS) Probability

Directions : A, B and C try to hit a target. A can hit the target 1 times in 3 shorts, B 3 times in 5 shots and C 2 times in 5 shots. Find the probabilities of following events:

Two of them hit

7/9

2/3

1/3

1/5

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Explanation:

P(A) = 1/3 P(A’) = 2/3
P(B) = 3/5 P(B’) = 2/5
P(C) = 2/5 P(C’) = 3/5
Exactly two of them hit
= P( A & B hits & C misses ) + P( A & C hits & B misses ) + P( B & C hits & A misses )
= (1/3*3/5*3/5) + (1/3*2/5*2/5) + (3/5*2/5*2/3)
=9/75 + 12/75 + 4/75 ==>25/75=1/3.

Hence, option 3 is the correct answer.