When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 13 or to bet $10 that the outcome is any one of the five possibilities 00, 0, 1, 2, or 3. The gambler knows that the expected value of the $10 bet for a single number is - $1.06. For the $10 bet that the outcome is 5 33 38 00, 0, 1, 2, or 3, there is a probability of of making a net profit of $60 and a probability of losing $10. 38 a. Find the expected value for the $10 bet that the outcome is 00, 0, 1, 2, or 3. b. Which bet is better: a $10 bet on the number 13 or a $10 bet that the outcome is any one of the numbers 00, 0, 1, 2, or 3? Why?

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When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 13 or to bet $10 that the outcome is any one of the five
possibilities 00, 0, 1, 2, or 3. The gambler knows that the expected value of the $10 bet for a single number is - $1.06. For the $10 bet that the outcome is
5
33
38
00, 0, 1, 2, or 3, there is a probability of of making a net profit of $60 and a probability of losing $10.
38
a. Find the expected value for the $10 bet that the outcome is 00, 0, 1, 2, or 3.
b. Which bet is better: a $10 bet on the number 13 or a $10 bet that the outcome is any one of the numbers 00, 0, 1, 2, or 3? Why?
Transcribed Image Text:When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 13 or to bet $10 that the outcome is any one of the five possibilities 00, 0, 1, 2, or 3. The gambler knows that the expected value of the $10 bet for a single number is - $1.06. For the $10 bet that the outcome is 5 33 38 00, 0, 1, 2, or 3, there is a probability of of making a net profit of $60 and a probability of losing $10. 38 a. Find the expected value for the $10 bet that the outcome is 00, 0, 1, 2, or 3. b. Which bet is better: a $10 bet on the number 13 or a $10 bet that the outcome is any one of the numbers 00, 0, 1, 2, or 3? Why?
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