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    Question

    A box has 6 red, 5 blue, and 4 green balls. Two balls

    are drawn without replacement. Find probability both are of different colors.
    A 20/101 Correct Answer Incorrect Answer
    B 30/113 Correct Answer Incorrect Answer
    C 74/105 Correct Answer Incorrect Answer
    D 18/127 Correct Answer Incorrect Answer

    Solution

    Total pairs = 15C2 = 105. Same color: 6C2 + 5C2 + 4C2 = 15 + 10 + 6 = 31. Different = 105 − 31 = 74. Probability = 74/105.

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