Question

A can hit a target 4 times in 5 shots, B can hot 3 times in 4 shots, and C can hit 2 times in 3 shots. The probability that B and C hit and A does not hit is

A. \(\frac{1}{10}\)

B. \(\frac{2}{5}\)

C. \(\frac{7}{12}\)

D. None of these

Answer 1

Correct answer is A.

As the events are independent, So, P(B∩C) = P(B).P(C) = \(\frac{3}{4}\times \frac{2}{3}\)

And P(B∩C∩A) = P(B).P(C).P(A) = \(\frac{4}{5}\times \frac{3}{4}\times \frac{2}{3}\)

P(B∩C∩A') = \(\frac{1}{10}\)