In gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to 3") or 2 2 (Note: If the odds of winning are the probability of success is 3' 5.) 2 3 The odds of an event occurring are 3:1. Find (a) the probability that the event will occur and (b) the probability that the event will not occur.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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In gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is
the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio
of the number of unsuccessful outcomes to the number of successful outcomes. For example, if the number of
successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to 3") or
2
2
(Note: If the odds of winning are the probability of success is
3'
5.)
2
3
The odds of an event occurring are 3:1. Find (a) the probability that the event will occur and (b) the probability that the
event will not occur.
Transcribed Image Text:In gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to 3") or 2 2 (Note: If the odds of winning are the probability of success is 3' 5.) 2 3 The odds of an event occurring are 3:1. Find (a) the probability that the event will occur and (b) the probability that the event will not occur.
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