One option in a roulette game is to bet on red. (There are 18 red compartments, 18 black

compartments, and two compartments that are neither red nor black.) If the ball lands on red,

you get to keep the $1 that you paid to play the game and you are awarded $1. If the ball lands

elsewhere, you are awarded nothing and the $1 that you bet is collected. Find the expected

value for playing roulette if you bet $1 on red.