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    Question

    Two cards are drawn successively without replacement

    from a standard deck of 52 cards. Find the probability that both cards are aces.
    A 7/205 Correct Answer Incorrect Answer
    B 3/883 Correct Answer Incorrect Answer
    C 1/221 Correct Answer Incorrect Answer
    D 13/113 Correct Answer Incorrect Answer

    Solution

    Total cards = 52, aces = 4. P(first card is ace) = 4/52 = 1/13 After drawing one ace, remaining aces = 3, remaining cards = 51 P(second card is ace | first ace) = 3/51 = 1/17 Required probability = (1/13) × (1/17) = 1/221 Answer: 1/221.

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