University Data Receiving Not Receiving
Financial Aid Financial Aid
Total
4222
Undergraduates
8120
3898
Graduates
1879
731
2610
Total
6101
4629
10730
What is the probability that a given student is on
financial aid, given that he or she is a graduate?
Rounded to the nearest percent, [? ]%

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?