1. Our team of five runners (the Water-Break Five) is in a race consisting of a total of 100 runners; all runners finish the race. Each runner has an equal chance of winning the race. A. How many ways can the 100 runners finish the race? What counting technique(s) are you using? What are the conditions: Example of an outcome: B. How many ways can the 100 runners finish the race such that 3 members of our team finish in the top 3 positions? What counting technique(s) are you using? C. What is the probability that our team will finish in the top three positions? Let E be the event that our team will finish in the top three positions? Note: P(E) is the probability statement; your answer is the probability for the probability statement. P(E)=

1. Our team of five runners (the Water-Break Five) is in a race consisting of a total of 100 runners; all runners finish the race. Each runner has an equal chance of winning the race. A. How many ways can the 100 runners finish the race? What counting technique(s) are you using? What are the conditions: Example of an outcome: B. How many ways can the 100 runners finish the race such that 3 members of our team finish in the top 3 positions? What counting technique(s) are you using? C. What is the probability that our team will finish in the top three positions? Let E be the event that our team will finish in the top three positions? Note: P(E) is the probability statement; your answer is the probability for the probability statement. P(E)=

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 4CC

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