A can hit a target 4 times in 5 shots, B can hit 3 times in 4 shots, and C can hit 2 times in 3 shots. Calculate the probability that

(i) A, B and C all hit the target

(ii) B and C hit and A does not hit the target.

Given : let A , B and C chances of hitting a target is given i.e , P(A) = , P(B) = and P(C) = .

P() = , P() = and P()=

To Find: i)The probability that A , B and C all hit the target.

Now ,P(all hitting the target) = P( B C)

= P(A) P(B) P(C)

=

=

Hence , The probability that A , B and C all hit the target is

ii) B and C hit and A does not hit the target

Here, P(B and C hit and not A) = P(B C )

= P(B) P(C) P()

=

=

Hence , the probability that B and C hit and A does not hit the target is