sci bo is an ancient Chinese dice game played with three dice. one of the possibilities for betting in the game is to bet big. for this bet, you win if the total X is 11,12,13,14,15,16,17, except when there are three 4's or three 5's. on a $1 bet on big, you win $1 plus your dollar back if it happens. what is your expected value?

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sci bo is an ancient Chinese dice game played with three dice. one of the possibilities for betting in the game is to bet big. for this bet, you win if the total X is 11,12,13,14,15,16,17, except when there are three 4's or three 5's. on a $1 bet on big, you win $1 plus your dollar back if it happens. what is your expected value?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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