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when playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$ on the number or to bet ​$ that the outcome is any one of the possibilities . the gambler knows that the expected value of the ​$ bet for a single number is . for the ​$ bet that the outcome is ​, there is a probability of of making a net profit of ​$ and a probability of losing ​$. a. find the expected value for the ​$ bet that the outcome is . b. which bet is​ better: a ​$ bet on the number or a ​$ bet that the outcome is any one of the numbers ​? ​why?

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