Question

Consider the following game: Roll a fair 6-sided die. You win if the result is

greater than 4; otherwise, you lose. To play, you must pay $5. If you win, you get $13; if you lose, the $5 fee is forfeited. What is the expected value for the amount gained/lost?

(Answer as a positive or negative decimal number, and round to 2 decimal places.

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