In the game ofâ roulette, a player can place a â$10 bet on the number 11 and have a 1/38 endfraction 1 38 probability of winning. if the metal ball lands on 11â, the player gets to keep the â$10 paid to play the game and the player is awarded an additional â$350. âotherwise, the player is awarded nothing and the casino takes theâ player's â$10. find the expected valueâ e(x) to the player for one play of the game. if x is the gain to a player in a game ofâ chance, thenâ e(x) is usually negative. this value gives the average amount per game the player can expect to lose.