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A bag contains 3 gold marbles, 8 silver marbles, and 29 black marbles. Someone offers to play this game: You randomly select one marble from

A bag contains 3 gold marbles, 8 silver marbles, and 29 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.

What is your expected value if you play this game?

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