SOLUTION: In American roulette the wheel has 38 numbers, 00, 0, 1, 2, …, 34, 35, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps th

Algebra ->  Probability-and-statistics -> SOLUTION: In American roulette the wheel has 38 numbers, 00, 0, 1, 2, …, 34, 35, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps th      Log On


   



Question 1148611: In American roulette the wheel has 38 numbers, 00, 0, 1, 2, …, 34, 35, and 36, marked on equally
spaced slots. If a player bets $1 on a number and wins, then the player keeps the dollar and receives
an additional $35. Otherwise the dollar is lost. What is the expected value of playing one game of
roulette?

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The probability to win is  1%2F38.


The probability to loss is  37%2F38.


Hence, the expected value of playing one game is


    35%2A%281%2F38%29 - 1%2A%2837%2F38%29 = 35%2F38 - 37%2F38 = -2%2F38 = -1%2F19  of a dollar.    ANSWER