A player pays $1 to play a game where three fair dice are

Chapter 2, Problem 2.3.7

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A player pays $1 to play a game where three fair dice are rolled. If three 6s are obtained the player wins $500, and otherwise the player wins nothing. What are the expected net winnings of this game? Would you want to play this game? Does your answer depend upon how many times you can play the game?

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