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In a shooting test

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by mim » Thu Oct 08, 2015 1:22 am
In a shooting test, the probability of hitting the target is 1/2 for A, 3/4 for B and 5/6 for c. If all of them fire at the target, find the probability that
(i) None of them hits the target
(ii) At least one of them hits the target
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by GMATinsight » Thu Oct 08, 2015 5:21 am
mim wrote:In a shooting test, the probability of hitting the target is 1/2 for A, 3/4 for B and 5/6 for c. If all of them fire at the target, find the probability that
(i) None of them hits the target
(ii) At least one of them hits the target
(i) Probability of A not hitting the target = 1-(1/2) = 1/2
Probability of B not hitting the target = 1-(3/4) = 1/4
Probability of C not hitting the target = 1-(5/6) = 1/6

Probability of None of them hitting the target = (1/2)*(1/4)*(1/6) = 1/48

(ii) At least one of them hits the target = 1-Probability of None of them hitting the target = 1-(1/48)= 47/48

I hope this helps!
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