Pairs of people eating lunch together enter a cafeteria that has square tables, with one chair on each side. Each pair chooses a separate table at which they may sit next to each other or across from each other.
Suppose 100 such pairs enter the cafeteria today. Assuming that they choose seats randomly, construct an approx, imate distribution for the number of pairs that sit next to each other. How many of these pairs would you expect to be sitting across from each other?