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When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$20 on the number 13 or to bet ​$20 that the outcome is any one of the three possibilities 00 comma 0 comma or 1. The...

When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$20 on the number 13 or to bet ​$20 that the outcome is any one of the three possibilities 00 comma 0 comma or 1. The gambler knows that the expected value of the ​$20 bet for a single number is negative $ 1.05. For the ​$20 bet that the outcome is 00 comma 0 comma or 1​, there is a probability of StartFraction 3 Over 38 EndFraction of making a net profit of ​$60 and a StartFraction 35 Over 38 EndFraction probability of losing ​$20.

a. Find the expected value for the ​$20 bet that the outcome is 00 comma 0 comma or 1.

b. Which bet is​ better: a ​$20 bet on the number 13 or a ​$20 bet that the outcome is any one of the numbers 00 comma 0 comma or 1​? ​Why?

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0) The expected value for the ắao bettt fe 0utcome or Can bdby USng te pxobabidty dišhibuhor of pay os 6o 38 35138 e Expected

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