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    Question

    Bag C contains 2 red balls and 2 blue balls, whereas

    bag D contains 5 red balls and 5 blue balls. One ball is drawn at random from C and transferred into D. Two balls are now drawn at random from D. Find the probability that both balls are of the same colour.
    A 4/11 Correct Answer Incorrect Answer
    B 1/2 Correct Answer Incorrect Answer
    C 5/11 Correct Answer Incorrect Answer
    D 6/11 Correct Answer Incorrect Answer
    E 7/11 Correct Answer Incorrect Answer

    Solution

    Required probability
    = (2/4) X (6/11) X (5/10) + (2/4) X (5/11) X (4/10) + (2/4) X (5/11) X (4/10) + (2/4) X (6/11) X (5/10) = (2/4) X (30/110) + (2/4) X (20/110) + (2/4) X (20/110) + (2/4) X (30/110) = (60/440) + (40/440) + (40/440) + (60/440) = (200/440) = (5/11)

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