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    Question

    Bag P contains 2 red balls and 2 blue balls, whereas bag

    Q contains 2 red balls and 2 blue balls. One ball is drawn at random from P and transferred into Q. Two balls are now drawn at random from Q. Find the probability that both balls are of different colours.
    A 2/5 Correct Answer Incorrect Answer
    B 4/5 Correct Answer Incorrect Answer
    C 3/5 Correct Answer Incorrect Answer
    D 1/3 Correct Answer Incorrect Answer
    E 7/10 Correct Answer Incorrect Answer

    Solution

    Required probability
    = (2/4) X 2 X (3/5) X (2/4) + (2/4) X 2 X (2/5) X (3/4) = (1/2) X (12/20) + (1/2) X (12/20) = (12/40) + (12/40) = (24/40) = (3/5)

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