The game of Chuck-a-Luck is played as follows: You pick a number between 1 and 6 and

Question:

The game of Chuck-a-Luck is played as follows: You pick a number between 1 and 6 and toss three dice. If your number does not appear, you lose $1. If your number appears x times, you win $x. On the average, use simulation to find the average amount of money you will win or lose on each play of the game.