Question

Only 5% of male high school basketball, baseball, and football players go on to play at the college level. Of these, only 1.7% enter major league professional sports. About 40% of the athletes who compete in college and then reach the pros have a career of more than 3 years. What is the probability that a high school athelete who plays basketball, baseball, or football, competes in college and then goes on to have a pro career of more than 3 years?

Answer 1

0.00034 or 0.034%

Explanation:

The probability of consecutive events happening is given by the product of each event's probabilities. In this case, the probability that a high school athlete who plays basketball, baseball, or football, competes in college and then goes on to have a pro career of more than 3 years is determined by:

`P=P(college)*P(pro)*P(+3\ years)\\P = 0.05*0.017*0.4\\P=0.00034`

The probability is 0.00034 or 0.034%.