**Given : **let A , B and C chances of hitting a target is given i.e ,

P(A) = \(\frac{4}{5},\) P(B) = \(\frac{3}{4}\) and P(C) = \(\frac{2}{3},\)

**To Find: **

**(i) **The probability that A , B and C all hit the target.

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

**Hence , **The probability that A , B and C all hit the target is\(\frac{2}{5}\)

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

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

**Hence , **the probability that B and C hit and A does not hit the target is\(\frac{1}{10}\)