Question

Oliver Queen is able to hit the bull's-eye (center of the target) 87% of the time. If he shoots 29 arrows, what is the probability that he hits the bull

eye exactly 13 times?

Answer 1

The probability that he hits the bull's-eye in one shot is given by p = 0.87

Then, the probability that the hits the bull's-eye m times in n shots is given by:

`P(m|n)=(n!)/(m!(n-m)!)p^m(1-p)^(n-m)`

For n = 29 and m = 13 we have:

`\begin{gathered} P(13|29)=(29!)/(13!16!)0.87^(13)\cdot0,13^(16) \\ P(13|29)=4.0\cdot10^(-8) \end{gathered}`