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?  Choose the correct choice.
A) 1
B) 1/256
C) 81/256
D) 175/256
E) 2
Solution:   The man will hit the target even if he hits it once or twice or thrice or all four times in the four shots that he takes.   So, the only case where the man will not hit the target is when he fails to hit the target even in one of the four shots that he takes.   The probability that he will not hit the target in one shot =1 - Probability that he will hit target in exact one shot   =1 -1/4   =3/4   Therefore, the probability that he will not hit the target in all the four shots   =(3/4)Ã—(3/4)Ã—(3/4)Ã—(3/4)=81/256   Hence, the probability that he will hit the target at least in one of the four shots:   =1-81/256   =175/256   ANSWER IS 175/256
<result>D</result>
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?