30 teachers and students participate in a student-faculty basketball game as a fundraiser. They are surveyed after the game by the sports medicine class to find out how many of them stretched before the game. The results of the survey are shown in the table. Age/Stretch younger than 18 years old 18-30 years oldmore than 30 years old stretched before the game 5 4 did not stretch before the game 10 One of the sports medicine students, Han, wants to know the probability that one of the participants in the game selected at random is younger than 18 years old or stretched before the game. To figure this out, he adds the three values in the first row of the table (5, 9, and 4) to the two values listed under the heading "younger than 18 years old" (5 and 10). He then divides that answer by 30 and obtains a probability of . Han realizes that is greater than 1 and determines that he must have made a mistake. 1. What is Han's mistake? Explain your reasoning. 2. How does the addition rule account for this kind of mistake?
30 teachers and students participate in a student-faculty basketball game as a fundraiser. They are surveyed after the game by the sports medicine class to find out how many of them stretched before the game. The results of the survey are shown in the table. Age/Stretch younger than 18 years old 18-30 years oldmore than 30 years old stretched before the game 5 4 did not stretch before the game 10 One of the sports medicine students, Han, wants to know the probability that one of the participants in the game selected at random is younger than 18 years old or stretched before the game. To figure this out, he adds the three values in the first row of the table (5, 9, and 4) to the two values listed under the heading "younger than 18 years old" (5 and 10). He then divides that answer by 30 and obtains a probability of . Han realizes that is greater than 1 and determines that he must have made a mistake. 1. What is Han's mistake? Explain your reasoning. 2. How does the addition rule account for this kind of mistake?
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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Transcribed Image Text:30 teachers and students participate in a student-faculty basketball game as a fundraiser. They are
surveyed after the game by the sports medicine class to find out how many of them stretched before
the game. The results of the survey are shown in the table.
Age/Stretch
younger than 18 years old 18-30 years old more than 30 years old
stretched before the game 5
4
did not stretch before the game 10
1
1
One of the sports medicine students, Han, wants to know the probability that one of the participants
in the game selected at random is younger than 18 years old or stretched before the game. To figure
this out, he adds the three values in the fırst row of the table (5, 9, and 4) to the two values listed
under the heading "younger than 18 years old" (5 and 10). He then divides that answer by 30 and
obtains a probability of 38. Han realizes that 3 is greater than 1 and determines that he must have
made a mistake.
1. What is Han's mistake? Explain your reasoning.
2. How does the addition rule account for this kind of mistake?
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