Question

    Two cards are drawn at random from a standard deck of 52

    cards. What is the probability of drawing at least one queen?
    A 24/101 Correct Answer Incorrect Answer
    B 12/225 Correct Answer Incorrect Answer
    C 33/221 Correct Answer Incorrect Answer
    D 32/229 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Case 1: There is 1 queen

    Required probability = (4C1 × 48C1)/52C2 = 32/221

    Case 2: There are 2 queens

    Required probability = 4C2/52C2 = 1/221

    Therefore, desired probability = (32/221) + (1/221) = 33/221

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