Question

    If two socks are chosen at random, what is the

    probability that either all are green or all are black socks? Read the information given below and answer the questions that follow. A bucket contains 5 black socks, 2 green socks and 3 blue socks.
    A 11/45 Correct Answer Incorrect Answer
    B 3/35 Correct Answer Incorrect Answer
    C 7/45 Correct Answer Incorrect Answer
    D 2/9 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    n(S) = ¹⁰C₂ n(E) = ²C₂ + ⁵C₂ P (E) = (²C₂ + ⁵C₂ )/(¹⁰C₂ ) = 11/45

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