SOLUTION: In the game of roulette, a player can place a $8 bet on the number 14 and have a 1/38 probability of winning. If the metal ball lands on 14, the player gets to Keep the $8 paid to

Algebra ->  Probability-and-statistics -> SOLUTION: In the game of roulette, a player can place a $8 bet on the number 14 and have a 1/38 probability of winning. If the metal ball lands on 14, the player gets to Keep the $8 paid to      Log On


   



Question 1147351: In the game of roulette, a player can place a $8 bet on the number 14 and have a 1/38 probability of winning. If the metal ball lands on 14, the player gets to
Keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the players $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?

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
1/38 * +280 = +140/19
37/38 * -8 = -148/19

Add these two values together to get -8/19. This is the expected value of the game. (About -$0.42.)

If you play the game 1000 times, the you could expect to lose: 1000*(-8/19) dollars...or, -8000/19 dollars. That's about $421.05.