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 two socks are chosen at random, what is the probability that either all are green or all are black 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

Solution

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

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