A person plays a board game where he blindly picks a colored chip from a container. There are 20 chips in the container: 5 red, 11 green, and 4 blue. He gets to move his game piece 10 spaces, zero spaces for a green chip, and he has to move backwards 15 spaces if he picks a blue chip. Use mathematical calculations to prove whether or not the game is fair. Show all of your calculations for full credit.