Student Subject Study Analysis

The video tutorial addresses a problem involving a class of 25 students, where 19 study at least one of art or music. The teacher explains the concept of 'at most one' and uses a Venn diagram to visualize the data. The problem is solved by calculating the number of students in different categories and finding the probability of selecting students who study exactly one subject.

How many students in the class study neither art nor music?

• 6

• 10

• 25

• 19

What does 'at most one' mean in the context of this problem?

• Students study both subjects

• Students study only one or none of the subjects

• Students study at least one subject

• Students study neither subject

What is the total number of students who study at least one subject?

• 6

• 25

• 19

• 16

In constructing the Venn diagram, what is the significance of the number 6?

• It represents students studying only music

• It represents students studying neither subject

• It represents students studying both subjects

• It represents students studying only art

What is the unknown variable 'z' used to represent in the Venn diagram?

• Students studying only art

• Students studying neither subject

• Students studying only music

• Students studying both art and music

How many students study exactly one subject?

• 16

• 10

• 9

• 6

How many students study both art and music?

• 9

• 10

• 6

• 16

What is the total number of students who study only art or only music?

• 9

• 10

• 16

• 6

What is the probability that both randomly selected students study exactly one subject?

• 3/20

• 3/5

• 9/25

• 1/2

What is the probability of selecting a student who studies neither subject?

• 6/25

• 16/25

• 9/25

• 10/25