One thousand chances are sold at $6 apiece for a raffle. There is a grand prize of $500, 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 $
(Type an integer or a decimal. Round to the nearest cent)