High rolling (H). Here is a die game you play against a casino. You roll a fair die. If you roll 1, then the house pays you $25. If you roll 2, the house pays you $5. If you roll 3, you win nothing. If you roll a 4 or a 5, you must pay the house $10, and if you roll a 6, you must pay the house $15. What is the expected value of this game?
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