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    Question

    A jar contains 9 purple balls, 6 brown balls and 5 orange

    balls. Two balls are taken at random. What is the probability that at least one of them is orange?
    A 21/38 Correct Answer Incorrect Answer
    B 15/38 Correct Answer Incorrect Answer
    C 17/38 Correct Answer Incorrect Answer
    D 9/19 Correct Answer Incorrect Answer
    E 19/38 Correct Answer Incorrect Answer

    Solution

    Total balls = 9 + 6 + 5 = 20
    Non-orange balls = 9 + 6 = 15
    Required probability = 1 - (15/20) × (14/19)
    = 1 - (210/380)
    = 1 - (21/38)
    = 17/38

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