1. Picture a square table for four people, with one chair on each side of the square. Two people come to the table to eat together. Do they sit beside each other or across from each other?
a. Construct a rule for predicting whether or not two people sitting down at a square table will sit across from each other
b. Go to a cafeteria that has a number of square tables for four to check out your rule. What fraction of the time were you correct?
c. Under the assumption that people choose seats at random, what fraction of the time should two people sit across from each other? How does this fraction compare with your answer to part b?