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  52 C3  ways.

    1 black card can be drawn in  26 C1  ways and 2 red cards can be drawn in  26 C2  ways.

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

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