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    Question

    Bag X contains 2 red balls and 6 blue balls, whereas

    bag Y contains 3 red balls and 2 blue balls. One ball is drawn at random from X and transferred into Y. Two balls are now drawn at random from Y. Find the probability that both balls are of different colours.
    A 7/20 Correct Answer Incorrect Answer
    B 7/12 Correct Answer Incorrect Answer
    C 5/12 Correct Answer Incorrect Answer
    D 3/4 Correct Answer Incorrect Answer
    E 2/3 Correct Answer Incorrect Answer

    Solution

    Required probability
    = (2/8) X 2 X (4/6) X (2/5) + (6/8) X 2 X (3/6) X (3/5) = (1/4) X (16/30) + (3/4) X (18/30) = (16/120) + (54/120) = (70/120) = (7/12)

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