Exploring Probability through Venn Diagrams

What does the number 8 in the middle section of the Venn diagram represent?

• Students who prefer coffee over tea

• Students with no preference between tea and coffee

• Students who dislike both tea and coffee

• Students who prefer tea over coffee

How many students in total were surveyed about their drink preferences?

• 21 students

• 28 students

• 15 students

• 30 students

In the psychology and sociology scenario, how many students take only psychology?

• 18 students

• 11 students

• 30 students

• 12 students

How many students are taking classes other than psychology and sociology?

• 9 students

• 18 students

• 41 students

• 12 students

What is the probability of a student taking sociology?

• 46%

• 50%

• 24%

• 12%

What is the probability of a student not taking psychology?

• 2/5

• 40%

• 50%

• 20%

What is the probability of a student taking both psychology and sociology?

• 50%

• 12/50

• 6/25

• 24%

What is the probability of a student taking neither psychology nor sociology?

• 11/50

• 41/50

• 9/50

• 18/50

What is the probability of a student taking sociology but not psychology?

• 22%

• 18/50

• 9/50

• 11/50

What is the probability of a student taking psychology or sociology, but not both?

• 11/50

• 29/50

• 12/50

• 18/50