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    Question

    A bag contains 6 purple balls, 9 yellow balls and 5

    green balls. Three balls are drawn at random. Find the probability that at least two balls are yellow.
    A (8/19) Correct Answer Incorrect Answer
    B (4/19) Correct Answer Incorrect Answer
    C (77/285) Correct Answer Incorrect Answer
    D (5/38) Correct Answer Incorrect Answer
    E (19/95) Correct Answer Incorrect Answer

    Solution

    Total = 6 + 9 + 5 = 20
    Required probability = (Two yellow and one other) + (Three yellow)

    = 3 × [(9/20) × (8/19) × (11/18)] + (9/20 × 8/19 × 7/18)
    = (2376/6840) + (504/6840)
    = (2880/6840) = (24/57) = 8/19

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