In the game of​ roulette, a player can place a ​$6 bet on the number 36 and have a 1/38 probability of winning. If the metal ball lands on 36​, the player gets to keep the ​$6 paid to play the game...

In the game of​ roulette, a player can place a ​$6 bet on the number 36 and have a 1/38 probability of winning. If the metal ball lands on 36​, 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.