A drawer contains 5 pairs of green socks, 3 pairs of black socks, and 4 pairs of red socks. All of the pairs are together, meaning that there are not 24 randomly distributed socks, but 12 pairs. You reach into the drawer and pull out 3 pairs of socks without putting any back.
- Is this a binomial or a hypergeometric distribution? Explain.
- What is the probability that you get 2 pairs of green socks? Leave your answer as a fraction in lowest terms.
- What is the expected number of pairs of green socks?