Chapter 9.1, Problem 35E

Games of Chance If x is a player’s net gain 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 over the long run. In Exercises 35 and 36, find the player’s expected net gain for one play of the specified game.

Roulette In roulette, the wheel has the 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.