An archer is able to hit the bull's-eye 71% of the time.If she shoots 10 arrows,what is the probability that her first bull's-eye comes on the 5th arrow? Assume each shot is independent of the others.
A)0.00146
B)0.00502
C)0.07369
D)0.00707
E)0.71

Question

Quizplus · Accepted Answer

The probability that the bull's-eye comes on the 5th arrow is:
(0.29)^4 x (0.71) = 0.00502 
The (0.29)^4 is the probability of not hitting the bull's-eye for the first 4 shots (since she hits the bull's-eye 71% of the time, the probability of not hitting it is 1 - 0.71 = 0.29) and the (0.71) is the probability of hitting it on the 5th shot. Therefore, the best choice is B.

An Archer Is Able to Hit the Bull's-Eye 71% of the Time.If