A can hit a target 5 times in 6 shots, B can hit 4 times in 5 shots and C can hit 3 times in 4 shots. What is the probability that A and C may hit but B may lose?

Step-by-step solution

Here A , B and C are independent events aligned & P ( ~A )= 5 6 , P ( ~B )= 4 5 , P ( C )= 3 4 & and P ( ~B )=1- P ( ~B )=1- 4 5 = 1 5 & P ( ~A ~B C )= P ( ~A ) P ( ~B ) P ( C )= 5 6 1 5 3 4 = 1 8 aligned