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    Question

    Three cards are drawn randomly from a pack of 52 cards.

    What is the probability that one will be black and two will be red?
    A 13/51 Correct Answer Incorrect Answer
    B 13/34 Correct Answer Incorrect Answer
    C 5/17 Correct Answer Incorrect Answer
    D 25/102 Correct Answer Incorrect Answer
    E 1/2 Correct Answer Incorrect Answer

    Solution

    3 cards can be drawn from a pack of 52 cards in┬а 52 C3 ┬аways.

    1 black card can be drawn in┬а 26 C1 ┬аways and 2 red cards can be drawn in┬а 26 C2 ┬аways.

    Therefore, required probability = ( 26 C 1 ┬а*┬а 26 C 2 ) /┬а 52 C 3 ┬а= 13/34

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