In the game of roulette, a player can place a

$5

bet on the number

7

and have a

138

probability of winning. If the metal ball lands on

7,

the player gets to keep the

$5

paid to play the game and the player is awarded an additional

$175.

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

$5.

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.