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

$8

on a number and wins, then the player keeps

$8

and receives an additional

$280.

Otherwise, the player is awarded nothing, and the casino takes the player's

$8.

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.