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 be accepted at one and only one university?

The probability that Joe will be accepted at one and only one university

P(A n B ) = 0.1

Step-by-step explanation:

Given data the acceptance rate for applicants with similar qualifications is 25% for University A

P(A) = 25% =0.25

The acceptance rate for applicants with similar qualifications is 40% for University B

P(B) = 40% =0.40

Independent events:

let E and F are said to be independent events  then

P(E n F ) = P(E ) P(F)

both universities are independent

The probability that Joe will be accepted at one and only one university

P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1

i believe the correct answer is b.