joe is considering pursuing an mba degree. he has applied to two different universities. the acceptance rate for applicants with similar qualifications is 25 percent for university a and 40 percent for university b. what is the probability that joe will be accepted at both universities?



Answer :

The probability that joe will be accepted at both universities is 0.10 or 10 %

Given that,

Joe is thinking about getting his MBA. He submitted applications to two separate colleges. For applicants with comparable qualifications, university an accepts 25% of them, while university b accepts 40% of them.

To find it ,

Probability  for applicants with similar qualifications is 25 percent for university a is P(A) is 0.25

Probability  for applicants with similar qualifications is 40 percent for university a is P(B) is 0.40

The probability that joe will be accepted at both universities is product of probabilities

P(A*B) = P(A) * P(B)

            = 0.25 * 0.40

            =  0.10

P(A*B)= 0.10 or 10%

Hence,The probability that joe will be accepted at both universities is 0.10 or 10 %

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