Question

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B.What is the probability that Joe will not be accepted at either university?a) 0.75b) 0.45c) 0.90d) 0.65e) 0.60

Answer 1

b) 0.45

Explanation:

The probability that Joe will not be accepted in either university is the product of the probability that he would not be accepted at University A by the probability that he would not be accepted at University B. (The probability of not being accepted is 1 minus the probability of being accepted):

`P(neither) = (1-P(A))*(1-P(B))\\P(neither) =(1-0.25)*(1-0.4)\\P(neither) =0.45`

The probability that Joe will not be accepted at either university is 0.45.