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    Question

    In a pink box there are 4 yellow, 6 purple, and 5 orange

    crayons while in a brown box there are 3 yellow, 7 purple, and 4 orange crayons. One crayon is drawn at random from the combined crayons of both boxes. Find the probability that it is an orange crayon from the pink box.
    A 1/6 Correct Answer Incorrect Answer
    B 1/3 Correct Answer Incorrect Answer
    C 1/5 Correct Answer Incorrect Answer
    D 5/29 Correct Answer Incorrect Answer
    E 1/4 Correct Answer Incorrect Answer

    Solution

    Total crayons in pink box = 4 + 6 + 5 = 15
    Total crayons in brown box = 3 + 7 + 4 = 14
    Total crayons combined = 15 + 14 = 29
    Probability crayon is from pink box = 15/29
    Probability crayon is orange given pink box = 5/15 = 1/3
    Required probability = (15/29) × (1/3) = 15/87 = 5/29

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