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In the game of roulette, a player can place a $8 bet on the number 19 and have a

ID: 3154361 • Letter: I

Question

In the game of roulette, a player can place a $8 bet on the number 19 and have a 1/38 probability of winning. If the metal ball lands on 19, the player gets to keep the $8 do paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? The expected value is $ (Round to the nearest cent as needed.) The player would expect to lose about $ (Round to the nearest cent as needed.)

Explanation / Answer

expectedvalue = 1/38 * 288 - 37/38 * 8 = -0.2105

player would expect to lose about -0.2105*1000 =-210.53

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