Let’s assume the following statements are true: historically, 75% of the five-star football recruits in the nation go to universities in the three most competitive athletic conferences. historically, five-star recruits get full football scholarships 93% of the time, regardless of which conference they go to. if this pattern holds true for this year’s recruiting class, answer the following:
a. based on these numbers, what is the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship?
b. what are the odds a randomly selected five-star recruit will not select a university from one of the three best conferences? explain.
c. explain whether these are independent or dependent events. are they inclusive or exclusive? explain.