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In the game of​ roulette, a player can place a

​$10


10 bet on the number 36


36 and have a StartFraction 1 Over 38 EndFraction


138 probability of winning. If the metal ball lands on 36


36​, the player gets to keep the ​$10


10 paid to play the game and the player is awarded an additional ​$350


350. ​Otherwise, the player is awarded nothing and the casino takes the​ player's ​$10


10. 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.

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