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In a new card game, you start by paying $2.31. From a well-shuffled full deck of cards draw 3 cards without replacement. If you draw

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In a new card game, you start by paying $2.31. From a well-shuffled full deck of cards draw 3 cards without replacement. If you draw 3 hearts, you win $446. If you draw 3 black cards, you win $107.84. For any other draws, you win nothing. What is your expected winnings in this game? Round your answer to five decimal places

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