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    Question

    A box contains 8 green balls, 6 blue balls and 6 yellow

    balls. Two balls are drawn at random. What is the probability that at least one of them is yellow?
    A 17/38 Correct Answer Incorrect Answer
    B 91/190 Correct Answer Incorrect Answer
    C 93/190 Correct Answer Incorrect Answer
    D 99/190 Correct Answer Incorrect Answer
    E 89/190 Correct Answer Incorrect Answer

    Solution

    Total balls = 8 + 6 + 6 = 20
    Non-yellow balls = 8 + 6 = 14
    Required probability = 1 - Probability that none is yellow
    = 1 - (14/20) × (13/19)
    = 1 - (182/380)
    = 1 - (91/190)
    = 99/190

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