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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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