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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.

Question

28-07-2022
Mathematics

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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.

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azikennamdi azikennamdi · Answer 1 · 2022-07-29T23:33:43+02:00

The probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship is 69.75%.

What is the computation for the above solution?

Note that this is simple probability.

Hence probability of the 75% football starts selected randomly where the chance is 93% =

75% x 93%

= 69.75%

What are the odds a randomly selected five-star recruit will not select a university from one of the three best conferences?

The chance that 25% of the five-star recruit will not select a university form one of the three best conferences is explained as follows:

Because only 75% stand the chance of being selected into the three ivy leagues, this means that 25% stand no chance.

Recall that the total population is 100%.

Are these are independent or dependent events. Are they Inclusive or exclusive?

From the statement of problem given, it is clear that the events are mutually exclusive. Recall "Historically, five-star recruits get full football scholarships 93% of the time, regardless of which conference they go to.

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