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.