A10 : Probability (Simple, Venn Diagram, and Contingency Tables)

A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?

• 1/2
• 3/5
• 2/5
• 5/11

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

• 2/18
• 1/9
• 2/20
• 1/10

The diagram shows the sports played by 80 students.

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

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

• ³¹/₈₀

• ⁴⁵/₈₀

• ⁶²/₈₀

• ⁶⁷/₈₀

How many senior boys play football and wrestle?

• 9
• 12
• 18
• 39

What is the probability that someone plays basketball?

• .50

• .68

• .52

• .46

What does this symbol represent?

• Intersection "and"

• Intersection "or"

• Union "and"

• Union "or"

Ms. Stringer conducted a survey of his 9th grader homeroom.  17 students are taking both Econ and Business.  19 students are only taking Econ.  18 students are only taking Business.  16 students are taking other courses.

Construct Venn Diagram. Which one of the followings is correct for the given Venn picture.

• i = 16, ii = 17, iii = 18. iv = 19

• i = 19, ii = 18, iii = 17. iv = 16

• i = 19, ii = 17, iii = 18. iv = 16

• i = 16, ii = 18, iii = 17. iv = 19

A guidance counselor is planning schedules for 30 students.  16 want to take Spanish and 11 want to take Latin.  5 Say they want to take both.  Display this information on the Venn diagram.

a

b

c

d

6

8

5

11

The Venn diagram below shows the results of a survey done by a veterinarian about the types of pets owned by 26 clients.  The survey was only related to dogs (D), cats (C), and fish (F). Note k = 1. If a randomly selected member is asked their preference, what is the probability that the member has:

• At least one of these pets?

• None of these animals?

• only dogs?

• Fish and dogs, but not cats?

• Dogs and cats?