A local high school runs a game at a fundraising event. In this game, marbles are randomly picked froma bag. The bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a green marble is drawn, you win $10. If the blue marble is drawn, you win $2, and if you draw a red marble you win nothing. The game costs $3 to play. Find the expected value of playing.
