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    Question

    A container holds 7 orange balls, 5 violet balls and 8 grey

    balls. Two balls are drawn at random. What is the probability that at least one of them is violet?
    A 17/38 Correct Answer Incorrect Answer
    B 15/38 Correct Answer Incorrect Answer
    C 9/19 Correct Answer Incorrect Answer
    D 19/38 Correct Answer Incorrect Answer
    E 8/19 Correct Answer Incorrect Answer

    Solution

    Total balls = 7 + 5 + 8 = 20
    Non-violet balls = 7 + 8 = 15
    Required probability = 1 - (15/20) × (14/19)
    = 1 - (210/380)
    = 1 - (21/38)
    = 17/38

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