In​ roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who bets​ $1 on black wins​ $1 (and gets the​ $1 bet​ back) if the ball comes to rest on​ black; otherwise​ (if the ball lands on​ red, 0, or​ 00), the​ $1 bet is lost. One option in a roulette game is to bet $ 11 on red. If the ball lands on​ red, you get to keep the $ 11 you paid to play the​ game, and you are awarded ​$12. If the ball lands​ elsewhere, you are awarded​ nothing, and the $ 11 that you bet is collected. What is the expected value of the​ game?