Question

    Read the information given below and answer the questions that follow. A bucket contains 5 black socks, 2 green socks and 3 blue socks.

    If three socks are chosen at random, what is the

    probability that all are blue socks?
    A 1/60 Correct Answer Incorrect Answer
    B 1/120 Correct Answer Incorrect Answer
    C 2/35 Correct Answer Incorrect Answer
    D 1/45 Correct Answer Incorrect Answer
    E 1/90 Correct Answer Incorrect Answer

    Solution

    Total there are 10 socks so probability of getting 3 socks out of 10 socks = ¹⁰C₃ So Probability of getting 3 blue socks = ³C₃ / ¹⁰C₃ = (3× 2× 1)/(10× 9× 8) = 1/120

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