Question: A friend devises a game that is played by rolling a single 6-sided die once. If you roll a 6, he pays you $3.00; if

A friend devises a game that is played by rolling a single 6-sided die once. If you roll a 6, he pays you $3.00; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1. What is the expected value of this game? Should you play? Justify your response
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