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The odds against the horse Bucksnot winning the race are 9:7. What is the probability that Bucksnot will win the race? Enter a reduced fraction

The odds against the horse Bucksnot winning the race are 9:7. What is the probability that Bucksnot will win the race? Enter a reduced fraction

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Question:** The odds against the horse Bucknsot winning the race are 9:7. What is the probability that Bucknsot will win the race? **Response:** To find the probability that Bucknsot will win the race, we need to convert the odds into a probability. The odds against Bucknsot are given as 9:7. This means for every 9 times Bucknsot does not win, he wins 7 times. To calculate the probability of Bucknsot winning, we use the formula: \[ \text{Probability of winning} = \frac{\text{Number of wins}}{\text{Total number of outcomes}} \] Here, the total number of outcomes is the sum of the odds against and the odds for Bucknsot winning, i.e., \(9 + 7 = 16\). Therefore, the probability that Bucknsot will win is: \[ \frac{7}{16} \] **Enter a reduced fraction:** \(\frac{7}{16}\)
Transcribed Image Text:**Question:** The odds against the horse Bucknsot winning the race are 9:7. What is the probability that Bucknsot will win the race? **Response:** To find the probability that Bucknsot will win the race, we need to convert the odds into a probability. The odds against Bucknsot are given as 9:7. This means for every 9 times Bucknsot does not win, he wins 7 times. To calculate the probability of Bucknsot winning, we use the formula: \[ \text{Probability of winning} = \frac{\text{Number of wins}}{\text{Total number of outcomes}} \] Here, the total number of outcomes is the sum of the odds against and the odds for Bucknsot winning, i.e., \(9 + 7 = 16\). Therefore, the probability that Bucknsot will win is: \[ \frac{7}{16} \] **Enter a reduced fraction:** \(\frac{7}{16}\)
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