A can hit a target 4 times in 5 shots, B 3 times in 4 shots, and C 2 times in 3 shots. Calculate the probability that
(i) A, B, C all may hit
(ii) B, C may hit and A may lose
(iii) any two of A, B and C will hit the target.
(iv) none of them will hit the target.

Question

Shiksha Nation · Accepted Answer

Consider the following events:E = A hits the target, F = B hits the target and G = C hits the target

A can hit a target 4 times in 5 shots, B 3 times in 4 shots, and C 2 times in 3 shots. Calculate the probability that (i) A, B, C all may hit (ii) B, C may hit and A may lose (iii) any two of A, B and C will hit the target.(iv) none of them will hit the target.