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    Question

    A bag contains six green balls, four red balls and two

    yellow balls. Two balls are drawn at random, what is the probability that both are of the same colour?
    A 2/5 Correct Answer Incorrect Answer
    B 1/4 Correct Answer Incorrect Answer
    C 1/3 Correct Answer Incorrect Answer
    D 3/7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Two balls can be drawn from 12 balls in┬а 12 C 2 ┬аways.

    The number of ways of drawing two balls of the same

    Colour =┬а 6 C 2 ┬а+┬а 4 C 2 ┬а+┬а 2 C 2 ┬а= 15 + 6 + 1

    тИ┤ The required probability = 22/ 12 C 2 ┬а= (22*2)/(12*11) = 1/3

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