A modified roulette wheel has 3636 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 3434​, respectively. You are placing a bet that the outcome is an oddodd number.​ (In roulette, 0 and 00 are neither odd nor​ even.) a. What is your probability of​ winning?   The probability of winning is nothing. ​(Type an integer or a simplified​ fraction.) b. What are the actual odds against​ winning?   The actual odds against winning are nothing​:nothing. c. When you bet that the outcome is an oddodd ​number, the payoff odds are​ 1:1. How much profit do you make if you bet ​$1414 and​ win?   If you​ win, the payoff is ​$nothing. d. How much profit should you make on the ​$1414 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A modified roulette wheel has
3636
slots. One slot is 0, another is 00, and the others are numbered 1 through
3434,
respectively. You are placing a bet that the outcome is an
oddodd
number. (In roulette, 0 and 00 are neither odd nor even.)
a. What is your probability of winning?
 
The probability of winning is
nothing.
(Type an integer or a simplified fraction.)
b. What are the actual odds against winning?
 
The actual odds against winning are
nothing:nothing.
c. When you bet that the outcome is an
oddodd
number, the payoff odds are 1:1. How much profit do you make if you bet
$1414
and win?
 
If you win, the payoff is
$nothing.
d. How much profit should you make on the
$1414
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?
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