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      Question

      Two playing cards are drawn one after another without

      putting the first one back. What is the probability that at least one of them is an Ace?
      A 38/251 Correct Answer Incorrect Answer
      B 33/221 Correct Answer Incorrect Answer
      C 27/221 Correct Answer Incorrect Answer
      D 44/221 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      = Probability that both cards are aces + Probability that first card is ace × second is not ace + Probability that first is not ace × second is ace

      = (4/52) × (3/51) + (4/52) × (48/51) + (48/52) × (4/51)

      = (12 + 192 + 192) ÷ (52 × 51)

      = 396 ÷ 2652

      = 33/221

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