Question:
The National Center for Education Statistics publishes information about school enrollment in Digest of Education Statistics. According to that document, 85.3% of students attend public schools, 27.9% of students attend college, and 20.1% of students attend public colleges. What percentage of students attend either public school or college?
Answer:
[tex]Public\ or\ College = 81.4\%[/tex]
Step-by-step explanation:
Given
[tex]Public = 85.3\%[/tex]
[tex]College = 27.9\%[/tex]
[tex]Public\ Colleges = 20.1\%[/tex]
Required
Determine percentage of students who either attended public school or college
In probability, we have the following formula:
[tex]n(A\ or\ B) = n(A) + n(B) - n(A\ n\ B)[/tex]
Relating this to the question, we have:
[tex]Public\ or\ College = Public + College - Public\ College[/tex]
Substitute values
[tex]Public\ or\ College = 85.3\% + 27.9\% - 20.1\%[/tex]
[tex]Public\ or\ College = 81.4\%[/tex]
