In an elimination tournament the teams are arranged in opponent pairs for the first round, and the winner of each round goes on to the next until the champion emerges. What is the probability that North Carolina will beat Central Connecticut but lose to Virginia in the following (fictitious) soccer tournament? (Assume that all outcomes are equally likely.)   The first entry in the second column is blank. Two entries in the first column stem from this entry. The first entry in the first column contains "North Carolina." The second entry in the first column contains "Virginia." The second entry in the second column is blank. Two entries in the first column stem from this entry. The third entry in the first column contains "Virgina." The fourth entry in the first column contains "Syracuse."

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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 In an elimination tournament the teams are arranged in opponent pairs for the first round, and the winner of each round goes on to the next until the champion emerges. What is the probability that North Carolina will beat Central Connecticut but lose to Virginia in the following (fictitious) soccer tournament? (Assume that all outcomes are equally likely.)
 
  • The first entry in the second column is blank. Two entries in the first column stem from this entry.
    • The first entry in the first column contains "North Carolina."
    • The second entry in the first column contains "Virginia."
  • The second entry in the second column is blank. Two entries in the first column stem from this entry.
    • The third entry in the first column contains "Virgina."
    • The fourth entry in the first column contains "Syracuse."
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