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In a new card game, you start by paying $55.15. 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 $55.15. From a well-shuffled full deck of cards draw 3 cards without replacement. If you draw 3 hearts, you win $469.06. If you draw 3 black cards, you win $263.07. For any other draws, you win nothing. What is your expected winnings in this game? Round your answer to five decimal places. Answer:Two six sided dice are rolled, and the numbers are observed. What is the probability that the two dice show different numbers? Round your answer to 5 decimal places

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