in american roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. if a player bets $ on a number and wins, then the player keeps $ and receives 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.
