After paying $5 to play, a single fair die is rolled, and you are paid back the number of dollars corresponding to the number
of dots facing up. For example, if a 6 turns up, $6 is returned to you for a net gain, or payoff, of $1, if a 4 turns up, $4 is returned for a net gain of minus$1, and so on. What is the expected value of the game? Is the game fair? The expected payoff of the game is $ nothing.