Approximately 9% of high school athletes go on to play sports in college. Of these college athletes, only 1.3% go on to play professional sports. What is the probability that a high school athlete will go on be a professional athlete?
a)0.04%
b)0.14%
c)0.117%
d)0.22%

Question

Approximately 9% of high school athletes go on to play sports in college. Of these college athletes, only 1.3% go on to play professional sports.  What is the probability that a high school athlete will go on be a professional athlete?
a)0.04%
b)0.14%
c)0.117%
d)0.22%

ddcamp · Answer

P(A and B) = P(A) * P(B)
P(College then Proffesional) = P(college) * P(proffesional) = 0.09 * 0.013 = 0.00117 or 0.117%