Name: 
 

Probability Final Exam Practice Test


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
For their uniforms, the Eagles soccer team has a choice of 4 different styles for the shirts, 3 for the shorts and 3 colors of socks. How many different uniforms are possible?
a.
12
b.
80
c.
40
d.
24
e.
36
 

 2. 
How many ways are there to order 3 different items?
a.
24
b.
6
c.
3
d.
2
e.
5
 

 3. 
Evaluate mc003-1.jpg
a.
36
b.
15,120
c.
84
d.
126
e.
3,024
 

 4. 
Evaluate mc004-1.jpg
a.
181,440
b.
9
c.
126
d.
72
e.
36
 

 5. 
How many ways are there to choose a president and a vice-president for a school club that consists of 16 members?
a.
250
b.
232
c.
236
d.
240
e.
238
 

 6. 
How many ways are there to choose two representatives for a school club that consists of 13 members to participate in student council meetings?
a.
74
b.
72
c.
70
d.
78
e.
68
 
 
At Paulo’s Pizza, pizzas are available in the following sizes and people buy them with the given probabilities.

Personal
Small
Medium
Large
.08
.21
.32
.39
 

 7. 
What is the probability that someone orders a large or a medium pizza?
a.
.47
b.
.60
c.
.53
d.
.40
e.
.71
 

 8. 
What is the probability that someone does not order a personal pizza?
a.
.79
b.
.08
c.
.92
d.
.61
e.
.68
 

 9. 
Assuming that pizza orders are independent, what is the probability that two consecutive pizza orders are both for a large pizza?
a.
.006
b.
.115
c.
.152
d.
.102
e.
.044
 
 
You are going to play 4 games of ping-pong against your best friend. Based on your past experience, you estimate that your probability of winning any single game is .64. It is to be assumed that each game outcome is independent of all other games played.
 

 10. 
What is the probability that you win all of the games?
a.
.158
b.
.188
c.
.107
d.
.262
e.
.168
 

 11. 
What is the probability that you lose all of the games?
a.
.067
b.
.057
c.
.047
d.
.017
e.
.006
 
 
An art class consists of 10th, 11th and 12th grade students. A two-way table, by gender, is given below for the makeup of this class.

 
10th grade
11th grade
12th grade
female
4
8
6
male
5
7
7
 

 12. 
If a student from this class is chosen at random, what is the probability that they are in 11th grade?
a.
.514
b.
.486
c.
.405
d.
.351
e.
.243
 

 13. 
If a student from this class is chosen at random, what is the probability that they are male?
a.
.243
b.
.405
c.
.351
d.
.486
e.
.514
 

 14. 
If a student from this class is chosen at random, what is the probability that they are a female 11th-grader?
a.
.189
b.
.108
c.
.216
d.
.162
e.
.135
 

 15. 
If a student from this class is chosen at random, what is the probability that they are a female given that they are 10th-grader?
a.
.189
b.
.135
c.
.444
d.
.108
e.
.162
 

 16. 
If a student from this class is chosen at random, what is the probability that they are a 11th-grader given that they are male?
a.
.216
b.
.189
c.
.162
d.
.368
e.
.135
 
 
A random sample of 58 adults were surveyed and asked whether they were married and whether they had children. Let M = person is married and C = person has children. The Venn diagram below summarizes their responses.
nar004-1.jpg
 

 17. 
If a person from this survey is chosen at random, what is the probability that they are married?
a.
.379
b.
.293
c.
.522
d.
.190
e.
.672
 

 18. 
If a person from this survey is chosen at random, what is the probability that they have children?
a.
.379
b.
.293
c.
.569
d.
.419
e.
.190
 

 19. 
If a person from this survey is chosen at random, what is the probability that they have children given that they are married?
a.
.379
b.
.414
c.
.564
d.
.293
e.
.190
 

 20. 
If a person from this survey is chosen at random, what is the probability that they are married given that they have children?
a.
.293
b.
.517
c.
.190
d.
.379
e.
.667
 



 
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