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A roulette wheel has 18 red numbers, 18 black numbers, and 2 green numbers. The red and black pay even odds (ie double or nothing)

A roulette wheel has 18 red numbers, 18 black numbers, and 2 green numbers. The red and black pay even odds (ie double or nothing) and the green pays off 17 to 1 (ie if you win you walk out with 18 dollars, 17 of which came from the casino). Determine the complete probability distribution for the gambler who places one dollar on red and one dollar on green, for a single spin (in other words, this gambler is making the 2 bets simultaneously). Find the Expected value (mu) and the Standard Deviation (sigma) for the distribution.

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