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    Question

    A bag contains 10 white balls, 5 black balls and 5 red

    balls. Two balls are drawn at random. What is the probability that at least one of them is red?
    A 1/2 Correct Answer Incorrect Answer
    B 17/38 Correct Answer Incorrect Answer
    C 11/19 Correct Answer Incorrect Answer
    D 21/38 Correct Answer Incorrect Answer

    Solution

    Total balls = 10 + 5 + 5 = 20
    Non-red balls = 10 + 5 = 15
    Required probability = 1 - (15/20) × (14/19)
    = 1 - (210/380)
    = 1 - (21/38)
    = 17/38

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