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    Question

    The probability that Leah will be accepted into program

    P is 60% and into program Q is 40%. Leah prefers program 'P' first, then 'Q', and finally 'R'. Assuming Leah gets into program 'R', what is the probability she will attend 'R'?
    A 0.15 Correct Answer Incorrect Answer
    B 0.012 Correct Answer Incorrect Answer
    C 0.24 Correct Answer Incorrect Answer
    D 0.02 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Leah will attend program 'R' only if she fails to get into program 'P' and program 'Q'. So, probability that she doesn't get into program 'P' = (1 - 0.6) = 0.4 And probability that she doesn't get into program 'Q' = (1 - 0.4) = 0.6 So, required probability = 0.4 × 0.6 = 0.24

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