Find the expected payback for a game in which you bet 2000.
Let x, the random variable, represent the possible amounts of payback, where payback is the amount won less the cost.
The payback for winning is 20 = 1980.
The payback for losing is 20 = 1980
Therefore , the expected payback is $0.00.
Note that a game with an expected value of 0 is called a fair game.