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A gambler bets 18$ on the outcome of a single roll of a pair of dice. Once he places his bet, if two ones are
A gambler bets 18$ on the outcome of a single roll of a pair of dice. Once he places his bet, if two ones are rolled he loses his bet. If the numbers add to 11 or 7, he receives double his original bet. If any value other than a sum of 2, 7, or 11 is rolled, he receives exactly half of his original bet. How much of his original 18$ should the gambler expect to lose in this game?
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