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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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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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