It costs $10 to play the following game. A fair die is rolled, and depending on the outcome, the player gets paid according to the table below:

Outcome 1 2 3 4 5 6

Payoff ($) 1 3 5 9 15 30

The profit is the difference between the cost and the payoff. For example, if the die shows four spots, then the profit is $9 - $10 = -$1. What is the average profit of the game?