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You are invited to play a game where you draw a card from a standard 52 card deck and your opponent rolls 2 six-sided dice.
You are invited to play a game where you draw a card from a standard 52 card deck and your opponent rolls 2 six-sided dice. The dice are added up and compared to the numerical value of the card (ace counts for 1 point, whereas jack, queen, and king count for 11, 12, and 13 points respectively). You then win $1 for every point you beat your opponent or lose $1 for every point your opponent beats you. How much money would you expect to win or lose on average per game (shuffling the deck of cards each time)?
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