Mathematics

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One option in a roulette game is to bet $2 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $2 you paid to play the game and you are awarded $2. If the ball lands elsewhere, you are awarded nothing and the $2 that you bet is collected. Find the expected payback for this roulette game if you bet $2 on red.

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