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    Question

    A bag has 4 red, 3 blue, and 3 green balls. Two are

    drawn without replacement. Find probability that both are of different colors.
    A 10/11 Correct Answer Incorrect Answer
    B 12/17 Correct Answer Incorrect Answer
    C 11/15 Correct Answer Incorrect Answer
    D 12/13 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total = C(10,2) = 45. Same color = C(4,2) + C(3,2) + C(3,2) = 6+3+3 = 12. Different = 45 – 12 = 33. P = 33/45 = 11/15.

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