17) 33 U.S. cities with large populations were surveyed to determine whether they had a professional baseball team, a professional football team, or a professional basketball team. The following information was determined. 5 had all three teams 11 had baseball and football 7 had baseball and basketball 9 had football and basketball 16 had baseball 17 had football 15 had basketball a) Create a Venn diagram to model the information. b) How many cities had only football? c) How many cities had baseball or football? d) How many cities had both baseball and football but not basketball? e) How many had exactly two teams?

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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17) 33 U.S. cities with large populations were surveyed to determine whether they had a
professional baseball team, a professional football team, or a professional basketball team. The
following information was determined.
5 had all three teams
11 had baseball and football
7 had baseball and basketball
9 had football and basketball
16 had baseball
17 had football
15 had basketball
a) Create a Venn diagram to model the information.
b) How many cities had only football?
c) How many cities had baseball or football?
d) How many cities had both baseball and football but not basketball?
e) How many had exactly two teams?
8
Transcribed Image Text:17) 33 U.S. cities with large populations were surveyed to determine whether they had a professional baseball team, a professional football team, or a professional basketball team. The following information was determined. 5 had all three teams 11 had baseball and football 7 had baseball and basketball 9 had football and basketball 16 had baseball 17 had football 15 had basketball a) Create a Venn diagram to model the information. b) How many cities had only football? c) How many cities had baseball or football? d) How many cities had both baseball and football but not basketball? e) How many had exactly two teams? 8
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