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    Question

    A bag contains 5 green balls, 4 blue balls and 6 yellow

    balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same colour.
    A 6/31 Correct Answer Incorrect Answer
    B 31/105 Correct Answer Incorrect Answer
    C 29/105 Correct Answer Incorrect Answer
    D 32/105 Correct Answer Incorrect Answer

    Solution

    Total number of balls in the bag = 5 + 4 + 6 = 15 Total possible outcomes = 15C2 = 105 Number of favourable outcomes = 5C2 + 4C2 + 6C2 = 10 + 6 + 15 = 31 Required probability = 31/105

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