Compound Probability and Venn Diagrams

What does this symbol ( ∪ ) represent?

• Union

• Intersection

• Disjointed

• Subset

If a student is picked at random, what is the probability that they play Hockey and Rugby?

• ³⁶/₈₀

• ⁵/₈₀

• ⁴¹/₈₀

• ⁴⁴/₈₀

A randomly selected group of students were asked if they like singing or painting. The Venn diagram represents the results. What is the probability that a randomly selected person does not like painting?

• 0.32

• 0.13

• 0.19

• 0.71

A randomly selected group of students were asked if they like cats or dogs. The results are shown in the Venn diagram. If a student was randomly selected, what is the probability they like cats or they like dogs?

• 0.23

• 0.56

• 0.73

• 0.9

Students at Red Bank High School took a survey about their interests. The Venn diagram to the left shows the results of students who like ice skating, skiing, and snowboarding. How many total students took the survey?

• 32

• 47

• 53

• 56

According to the Venn diagram, how many students do not snowboard?

• 21

• 22

• 28

• 29

The given Venn diagram displays the number of customers who ordered chicken nuggets (C) and French fries (F) at Joe’s diner on a Saturday evening.  How many customers chose something else from the menu?

• 9

• 15

• 47

• 46

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play any of the three sports?

• ⁷⁹/₈₀

• ¹/₈₀

• ⁷⁴/₈₀

• ⁶/₈₀

What statement does the shaded region represent?

• A or B

• Not B

• Not A

• Not A or B

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47