After the January diploma, I would include problems that fall under "The worst case Scenario" category. Like: 1. In a drawer, there are 8 blue socks, 6 green socks, and 12 black socks. (a) What is the minimum number of socks that must be drawn from the drawer, without looking, to be certain that 2 of the same colour have been selected? (b) Same scenario, but to be certain that 2 black socks have been selected? Or 2. If picking randomly from a collection of 5 quarters, 5 dimes, and 5 nickels, what is the minimum number of coins that must be selected to guarantee a total value of at least 50 cents?