Hector plays a game with a friend. They pay $1 and roll a 6-sided die....

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Hector plays a game with a friend. They pay $1 and roll a 6-sided die. If the die comes up a number that is larger than 2, they win $7. If it doesn't, they win nothing. What is the expected value of the game? Give your answer to the closest cent (two decimal places).

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