When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 23 or to bet $15 that the outcome is any one of the three possibilities 00, 0, or 1. The gambler knows that the expected value of the $15 bet for a single number is - $1.58. For the $15 bet that the outcome is 00, 0, or 1, there is a 3 of making a net profit of $45 and a 35 probability of 38 probability of losing $15. 38 a. Find the expected value for the $15 bet that the outcome is 00,0, or 1. b. Which bet is better: a $15 bet on the number 23 or a $15 bet that the outcome is any one of the numbers 00, 0, or 1? Why? a. The expected value is $. (Round to the nearest cent as needed.) b. Since the expected value of the bet on the number 23 is V than the expected value for the bet that the outcome is 00 0, or 1, the bet on V is better.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 9CC
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When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 23 or to bet $15 that the outcome is any one of the three possibilities
00, 0, or 1. The gambler knows that the expected value of the $15 bet for a single number is -$1.58. For the $15 bet that the outcome is 00, 0, or 1, there is a
3
probability of
35
38
of making a net profit of $45 and a
38
probability of losing $15.
a. Find the expected value for the $15 bet that the outcome is 00, 0, or 1.
b. Which bet is better: a $15 bet on the number 23 or a $15 bet that the outcome is any one of the numbers 00, 0, or 12 Why?
a. The expected value is $.
(Round to the nearest cent as needed.)
b. Since the expected value of the bet on the number 23 is
V than the expected value for the bet that the outcome is 00, 0, or 1, the bet on
V is better.
Transcribed Image Text:When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 23 or to bet $15 that the outcome is any one of the three possibilities 00, 0, or 1. The gambler knows that the expected value of the $15 bet for a single number is -$1.58. For the $15 bet that the outcome is 00, 0, or 1, there is a 3 probability of 35 38 of making a net profit of $45 and a 38 probability of losing $15. a. Find the expected value for the $15 bet that the outcome is 00, 0, or 1. b. Which bet is better: a $15 bet on the number 23 or a $15 bet that the outcome is any one of the numbers 00, 0, or 12 Why? a. The expected value is $. (Round to the nearest cent as needed.) b. Since the expected value of the bet on the number 23 is V than the expected value for the bet that the outcome is 00, 0, or 1, the bet on V is better.
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