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    Question

    A bag contains 3 blue, 2 green, and 5 black pens. If

    five pens are selected randomly, what is the probability that exactly two are green and three are black?
    A 5/123 Correct Answer Incorrect Answer
    B 5/127 Correct Answer Incorrect Answer
    C 5/126 Correct Answer Incorrect Answer
    D 13/252 Correct Answer Incorrect Answer
    E none Correct Answer Incorrect Answer

    Solution

    Total number of outcomes = C (n, r) = C (10,5)  = 252 number of favorable outcomes = C (5,3) × C (2,2) = 10 × 1 = 10 ∴ Required probability = 10/252 = 5/126

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