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fires 4 shots

by sanju09 » Tue Mar 03, 2009 3:26 am
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

A. 1
B. 1/256
C. 81/256
D. 175/256
E. 144/256
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Re: fires 4 shots

by piyush_nitt » Tue Mar 03, 2009 3:37 am
sanju09 wrote:A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

A. 1
B. 1/256
C. 81/256
D. 175/256
E. 144/256
IMO D

Prob of not hitting a target is 3/4
Prob of hitting a target atleast once = 1 - (prob of not hitting the target)
prob of not hitting the target = (3/4)*(3/4)*(3/4)*(3/4)
Prob of hitting a target atleast once 1- (3/4)*(3/4)*(3/4)*(3/4)
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