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In a new card game you start by paying 66 84 From a well shuffled full deck of cards draw 3 cards without replacement If

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In a new card game you start by paying 66 84 From a well shuffled full deck of cards draw 3 cards without replacement If you draw 3 hearts you win 91 01 If you draw 3 black cards you win 95 16 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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