Given : let A , B and C chances of hitting a target is given i.e ,
P(A) =
4
5
,
P(B) =
3
4
and P(C) =
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
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 ∩
¯
A
)
Hence , the probability that B and C hit and A does not hit the target is
1
10
