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Roulette is a casino game that involves players betting on where a ball will land...

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Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel An American roulette wheel has 38 numbered slots half of the slots from 1 to 36 are red and the other half are black Slots 0 and 00 are both green Suppose that a player bets 1 on the color red If the ball lands in a red slot the player gets their initial 1 back plus a payout of 1 If the ball doesn t land in a red slot they lose their 1 bet Let X the player s net gain from a 1 bet on a the color red Here is the probability distribution of X Win X net gain 1 18 P X 38 Lose 1 20 38 Calculate the mean of X You may round your answer to the nearest thousandth E X dollars

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