(a) The probability that the event will occur is 0.375 (Type an integer or decimal rounded to the nearest thousandth as needed.) (b) The probability that the event will not occur is 0.625 (Type an integer or decimal rounded to the nearest thousandth as needed.)

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
2
are 2:3 (read "2 to 3") or (Note: If the odds of winning are
3
2
probability of success is .)
2
131313
the
The odds of an event occurring are 3:5. Find (a) the probability that the
event will occur and (b) the probability that the event will not occur.
(a) The probability that the event will occur is 0.375
(Type an integer or decimal rounded to the nearest thousandth as needed.)
(b) The probability that the event will not occur is 0.625
(Type an integer or decimal rounded to the nearest thousandth as needed.)
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 2 are 2:3 (read "2 to 3") or (Note: If the odds of winning are 3 2 probability of success is .) 2 131313 the The odds of an event occurring are 3:5. Find (a) the probability that the event will occur and (b) the probability that the event will not occur. (a) The probability that the event will occur is 0.375 (Type an integer or decimal rounded to the nearest thousandth as needed.) (b) The probability that the event will not occur is 0.625 (Type an integer or decimal rounded to the nearest thousandth as needed.)
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