The Venn diagram shows the number of students playing instruments. How many students play the trombone?
A) 12
B) 17
C) 33
D) 45

The correct answer is D. 45

Explanation

According to the Venn diagram that shows the number of students who can play instruments, it can be said that D) 45 are the students who play the trombone. The chart shows three large circles, one to represent the students who play the trombone, one for the guitar, and one for the tuba. Inside the circle of those who play the trombone is number twelve that indicates the number of students who only play the trombone. Additionally, in the area that encompasses students who play trombone and guitar is number ten, in the area that encompasses students who play trombone and tuba is number sixteen, finally in students who play all three instruments is number seven. From the above, it is necessary to add the number of students in each group, which results in the number forty-five as the total number of students who play the trombone (10 students that play guitar and trombone+7 students that play guitar, trombone, and tuba+16 students that play tuba and trombone +12 students that play trombone=45 total number of students that play trombone). So, the correct answer is D. 45

probability for j is 1/4

while

a is 1/6

i believe the answer is c.