A modified roulette wheel has 40 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 38​, respectively. You are placing a bet that the outcome is an even number.​ (In roulette, 0 and 00 are neither odd nor​ even.) Question content area bottom Part 1 a. What is your probability of​ winning? The probability of winning is enter your response here. ​(Type an integer or a simplified​ fraction.) Part 2 b. What are the actual odds against​ winning? The actual odds against winning are enter your response here​:enter your response here. Part 3 c. When you bet that the outcome is an even ​number, the payoff odds are​ 1:1. How much profit do you make if you bet ​$16 and​ win? If you​ win, the payoff is ​$enter your response here. Part 4 d. How much profit should you make on the ​$16 bet if you could somehow convince the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 11DE
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A modified roulette wheel has 40 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 38​, respectively. You are placing a bet that the outcome is an even number.​ (In roulette, 0 and 00 are neither odd nor​ even.)
Question content area bottom
Part 1
a. What is your probability of​ winning?
The probability of winning is enter your response here.
​(Type an integer or a simplified​ fraction.)
Part 2
b. What are the actual odds against​ winning?
The actual odds against winning are enter your response here​:enter your response here.
Part 3
c. When you bet that the outcome is an even ​number, the payoff odds are​ 1:1. How much profit do you make if you bet ​$16 and​ win?
If you​ win, the payoff is ​$enter your response here.
Part 4
d. How much profit should you make on the ​$16 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against​ winning?
​$enter your response here ​(Round to the nearest cent as​ needed.) 

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