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)=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.
Transcribed Image Text: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)=
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