Q17 of 42 Page 1283

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


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