Solution:
Given that 430 people were surveyed as they left the FSU-Virginia basketball game at the Tucker Center, the results are as illustrated in a Venn diagram below:
1) Numer of people that attended only the FSU-Butler game:
From the venn diagram, the number of people that attended only the FSU-Butler game is
[tex]60[/tex]2) Number of people that did not attend the Marist, Butler, or North Carolina State games:
The number of people that attended none of the games is
[tex]45[/tex]3) Number of people that attended at least two of these games:
The number of people that attended at least two of these games is evaluated as
[tex]\begin{gathered} 60+70+45+20 \\ =195 \end{gathered}[/tex]4) Number of people that attended the Marist and Butler games, but not the North Carolina State game:
The number of people that attended the Marist and Butler games, but not the North Carolina State game is evaluated as
[tex]70[/tex]5) Number of people that attended the North Carolina State or the Butler game:
The number of people that attended the North Carolina State or the Butler game is evaluated as
[tex]\begin{gathered} 50+45+60 \\ =155 \end{gathered}[/tex]