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 

white?

Answer 1

\[\text{ Number of pairs of white socks } = 6 \]
\[\text{ Number of pairs of black socks } = 3 \]
\[\text{ Total number of pairs of socks } = 6 + 3 = 9 \]
\[ \therefore \text { Number of possible outcomes } = 9\]
\[\text{ Let A be the event of getting a pair of white socks } . \]
\[ \therefore P\left( A \right) = \frac{6}{9} = \frac{2}{3}\]