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23 January, 20:51

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?

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  1. 23 January, 21:03
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    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
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