Four hundred chances are sold at ​$7 apiece for a raffle. There is a grand prize of ​$​450, two second prizes of ​$350​, and five third prizes of ​$150. First calculate the expected value of the lottery. Determine whether the lottery is a fair game. If the game is not​ fair, determine a price for playing the game that would make it fair.

The expected value of the game is $?

If the game is not fair, determine a price for playing the game that would make it fair. _____

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