Venn Diagrams + Two Way Tables

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?

• 13

• 16

• 20

• 22

How many senior boys play football AND wrestle?

• 9

• 12

• 18

• 39

How many senior boys play football but do not wrestle?

• 9
• 12
• 18
• 104

How many senior boys play football OR wrestle?

• 9

• 21

• 30

• 39

What does the shaded portion of the Venn diagram represent?

• Band and Art
• Only Art
• Band or Art
• Neither

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football only?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

How many chemical engineers chose Science as their favorite subject?

• 80
• 91
• 171
• 262

Of the mechanical engineers, what is the probability that math is their favorite subject?

• 1.91
• 52%
• 17%
• 35%

What percentage of the students were boys?

• 20%
• 25%
• 40%
• 50%

Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?

• 4/30
• 7/30
• 2/15
• 14/30