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Three cards are dealt face down and you can buy or sell their sum at a quoted price. Which side do you take, and how many units?

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Cards count at face value, with ace 1, jack 11, queen 12 and king 13. The interviewer deals three cards face down and quotes one price for their sum, for example $15. You may buy or sell any number of units at that price, and you start with $1,000. When the cards are turned over you make or lose the difference between the sum and the price on each unit. The game may be repeated for several rounds at different prices. Say which side you take and how you decide the number of units.

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