In the game of roulette, a player can place a $6 bet on the number 34 and have a StartFraction 1 Over 38 EndFraction
probability of winning. If the metal ball lands on 34, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes the player's $6. 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.
The expected value is $