Find the expected payback for a game in which you bet 2000.

**Solution:-**

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 1980)-(0.0100 ) +(0.00.

Therefore , the expected payback is $0.00.

Note that a game with an expected value of 0 is called a fair game.