Question

    A box contains 6 red balls, 4 blue balls and 2 yellow

    balls. Two balls are picked at random. What is the probability that both balls are of the same color?
    A 1/3 Correct Answer Incorrect Answer
    B 1/4 Correct Answer Incorrect Answer
    C 2/3 Correct Answer Incorrect Answer
    D 1/5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Required probability = (6/12) × (5/11) + (4/12) × (3/11) + (2/12) × (1/11) = (30/132) + (12/132) + (2/132) = 44/132 = 4/12 = 1/3

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