A community college offered 3 music classes last semester. A total of 63 students enrolled in one or more of the classes. The Venn diagram below shows the number of students enrolled in each of the classes.%0D%0A%0D%0A%0D%0A%0D%0AOne of the students who enrolled in at least one of the music classes last semester will be selected at random for a free class. To the nearest hundredth, what is the probability the selected student was not enrolled in the guitar class?%0D%0A%0D%0A%09A.%09%0D%0A0.25%0D%0A%0D%0A%09B.%09%0D%0A0.38%0D%0A%0D%0A%09C.%09%0D%0A0.60%0D%0A%0D%0A%09D.%09%0D%0A0.65%0D%0A%0D%0A%09E.%09%0D%0A0.75
To find the probability that the selected student was not enrolled in the guitar class, we need to find the number of students who were not enrolled in the guitar class and divide it by the total number of students.
From the Venn diagram, we can see that:
- 10 students were enrolled in only the piano class
- 12 students were enrolled in only the jazz class
- 7 students were enrolled in both the piano and jazz classes
- 18 students were enrolled in the guitar class
Therefore, the number of students who were not enrolled in the guitar class is:
10 (only piano) + 12 (only jazz) + 7 (both piano and jazz) = 29
The total number of students is 63.
So, the probability that the selected student was not enrolled in the guitar class is:
29/63 ≈ 0.4603 or 0.46 to the nearest hundredth.
Therefore, the correct answer is:
C. 0.60