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 $15. If you rolled a 7, you won $8, Any other roll was a loss. It cost $4 to play one game with one roll of the dice. What is the expectation of the game? Round your answer to the nearest cent, if necessary. The expectation of this game is approximately ____dollar(s).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 $15. If you rolled a 7, you won $8, Any other roll was a loss. It cost $4 to play one game with one roll of the dice. What is the expectation of the game? Round your answer to the nearest cent, if necessary. The expectation of this game is approximately ____dollar(s).
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