n the game of​ roulette, a player can place a ​$ bet on the number and have a probability of winning. if the metal ball lands on ​, the player gets to keep the ​$ paid to play the game and the player is awarded an additional ​$. ​otherwise, the player is awarded nothing and the casino takes the​ player's ​$. find the expected value​ e(x) to the player for one play of the game. if x is the gain to a player in a game of​ chance, then​ e(x) is usually negative. this value gives the average amount per game the player can expect to lose.