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    Question

    If from a pack of 52 playing cards, 1 card is drawn at

    random. What is the probability that it is either a King, Queen or a Jack?
    A 3/13 Correct Answer Incorrect Answer
    B 2/13 Correct Answer Incorrect Answer
    C 7/26 Correct Answer Incorrect Answer
    D 1/13 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    P(E) =  (⁴C₁ + ⁴C₁ + ⁴C₁)/(⁵²C₁)  = (4+4+4)/52 = 12/52 = 3/13 Simplified Solution: Total Cards = 52 Number of kings in a deck = 4; P(getting a King) = 4/52 = 1/13 Similarly, P(getting a Queen) = 1/13 P (getting a Jack) =1/13 P (King or Queen or Jack) = 1/13 + 1/13 + 1/13 = 3/13

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