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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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