A carnival game has 3 identical boxes. The boxes have the following amounts of money: one has $30.00, one has $6.00, and one has $3.00. The game consists of a customer choosing one box at random and keeping the contents.

What should a customer be willing to pay if the game is fair? Explain your reasoning.

If the owner expects 100 customers and wants to make a profit of $200, what should he charge? Show your work.