Suppose each box of a certain kind of cereal contains a card with one letter from the word CHAMPION. The letters have been equally distributed in the boxes. You win a prize when you send in all eight letters.
a. Describe a method of modeling this problem using the random-number generator in your calculator.
b. What is the average number of boxes you will have to buy to win the prize?
c. Combine your results with those of several classmates. What seems to be the overall average number of boxes needed to win the prize?