Question 1

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In American roulette, the wheel has the 38 numbers

00, 0, 1, 2, 3, ..., 34, 35, and 36

marked on equally spaced slots.  If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional 35 dollars.  Otherwise, the dollar is lost.  Find the expected net gain to the player for one play of the game to the nearest cent.

E open parentheses x close parentheses equals $

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