At this year's State Fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $24. If you rolled a 7, you won $5. Any other roll was a loss. It cost $1 to play one game with one roll of the dice.

What is the expectation of the game? Round your answer to the nearest cent.

The expectation of this game is approximately ___ dollars.