Question

If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is

black?

Answer 1

\[\text{ Number of pairs of white socks }= 6 \]
\[\text{ Number of pairs of black socks }= 3 \]
\[\text{ Total number of pairs of socks } = 6 + 3 = 9 \]
\[ \therefore \text{ Number of possible outcomes }= 9\]

\[\text{ Let B be the event of getting a pair of black socks }. \]
\[ \therefore P\left( B \right) = \frac{3}{9} = \frac{1}{3}\]