Just prior to the broadcast of an NFL football game during the first game of the season, a commentator states "Winning the first game of the season is of critical importance to a team's chances of making the playoffs, as is demonstrated by the following statistics: Last year, 62% of the teams that won their first game of the season made it into the playoffs, while only 31% of the teams that lost their first game made the playoffs". Additional information At that time there were 26 teams in the league, 16 weeks each season, with 13 games played
Just prior to the broadcast of an NFL football game during the first game of the season, a commentator states "Winning the first game of the season is of critical importance to a team's chances of making the playoffs, as is demonstrated by the following statistics: Last year, 62% of the teams that won their first game of the season made it into the playoffs, while only 31% of the teams that lost their first game made the playoffs". Additional information At that time there were 26 teams in the league, 16 weeks each season, with 13 games played
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Transcribed Image Text:Just prior to the broadcast of an NFL football game during the first game of the
season, a commentator states "Winning the first game of the season is of critical
importance to a team's chances of making the playoffs, as is demonstrated by the
following statistics: Last year, 62% of the teams that won their first game of the
season made it into the playoffs, while only 31% of the teams that lost their first
game made the playoffs".
Additional information
At that time there were 26 teams in the league, 16 weeks each season, with 13
games played each week. The number of teams making the playoffs was 12. Note
62% = 8/13, and 31% = 4/13. It should also be noted that making it into a "wild
card game" is considered as "making the playoffs".
Question: Do
you think there is a flaw in the commentator's statistical reasoning?
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