Thirteen face-down cards worth 1 to 13: one chip buys the difference between any two, and you are paid the product of two you pick. Would you make a market on the right to play?
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Thirteen cards, ace to king, lie face down and are worth 1 to 13. For one chip you may choose two cards and learn the absolute difference of their values, as often as you like. At the end you pick two cards and are paid the product of their values in chips. How would you play? You are then invited to make a market on the right to play, and you may decline. If the interviewer sells at your bid, you pay the bid and play, keeping what you win. If the interviewer buys at your ask, the interviewer pays you and plays, and you pay out what the interviewer wins. Do you make this market, and if so where?
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