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    Question

    There are 2 boxes. Box A contains 6 gums and 4 candies

    and Box B contains 3 gums and 7 candies. If a box is selected at random and 2 things are drawn out of it, what is the probability that they are different?
    A 1/4 Correct Answer Incorrect Answer
    B 3/4 Correct Answer Incorrect Answer
    C 2/5 Correct Answer Incorrect Answer
    D 5/7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Required probability= P(Box A is selected, 1 gum, 1 candy) +P(Box B is selected, 1 gum, 1 candy)

    = (1/2)*( 6 C 1 )( 4 C 1 )/( 10 C 2 ) + (1/2)*( 3 C 1 )( 7 C 1 )/( 10 C 2 ) = 1/2

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