According to the MLB the chance of getting hit by a baseball

According to the MLB, the chance of getting hit by a baseball is .015. If 5 baseball players are randomly selected, what is the probability that one of those five will be hit by a baseball?

Solution

We have p = 0.015, n= 5

p ( X = x ) = ⁿC_x * p^x * ( 1- p ) ^n-x

p ( x = 1) = ⁵C₁ * 0.015¹ * ( 1- 0.015 ) ^5-1

             = 0.0706