in the game of​ roulette, a player can place a ​$7 bet on the number 1 and have a 1 38 probability of winning. if the metal ball lands on 1​, the player gets to keep the ​$7 paid to play the game and the player is awarded an additional ​$245. ​otherwise, the player is awarded nothing and the casino takes the​ player's ​$7. 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.