logo
Practice with Two-Way Tables
and Probability
MathBitsNotebook.com

Topical Outline | Geometry Outline | MathBits' Teacher Resources

Terms of Use    Contact Person: Donna Roberts
divider
Practice Page
Directions: Read carefully. Choose the best answers.

1.
A class survey asks students of their theater preferences of comedy or mystery. The results are shown below.
Choose:
 
60/105
 
60/95
 
60/188
 
60/83
detective
S U R V E Y MB
Comedy
Mystery
Female
48
45
Male
35
60
Based upon this survey, what is the probability of a male from this school choosing mystery?

 

 

2.
A public opinion poll was taken to explore the relationship between age and support for a new mayoral candidate. The results are shown.
Choose:
 
30/50
 
30/75
 
30/87
 
30/200
checkmark
Age MB
For
Against
Undecided
21 - 40
30
12
8
41 - 60
20
40
15
Over 60
25
35
15
What is the probability that a person chosen at random is in the 21-40 age group and supports
the candidate?

 

 

3.
A company conducts a survey to explore how
their new tutoring software affects Test Averages of 8th grade students in Anderson Middle School.
Software
Use MB
Student Test Averages
< 65%
65-85%
86-100%
Total
Used
3
35
24
62
Not Used
2
41
30
73
Total
5
76
54
135
What is the probability that a student picked at random would have scored in the 86-100% range or would have used the tutoring software?
Choose:
 
116/135
 
92/135
 
62/135
 
54/135

softwarepic

  

 

 

4.
A survey of 15-18 year olds asked if they used Twitter, or not. The results are shown below.
Choose:
 
64/395
 
206/395
 
174/206
 
236/395
tweet
S U R V E Y MB
Female
Male
Tweets
174
159
Does Not Tweet
32
30
What is the probability that a person chosen at random is female or does not use Twitter?

 

 

5.
The school board surveyed the voting results regarding the building of a new football field.
Voter's Age
in years MB
Votes
YES
NO
Total
18-25
50
12
62
26-40
104
65
169
41-65
60
76
136
> 65
35
61
96
Total
249
214
463
a) If a voter is picked at random, what is the probability that the voter is in the 26-40 age group?

b) What is the probability of picking an older voter (> 65) or picking a "NO" voter?
a) Choose:
 
65/149
 
104/169
 
169/463
 
249/463

b) Choose:
 
61/214
 
96/463
 
61/463
 
249/463

football
  

 

 

6.
High school seniors were surveyed as to their senior year course elective first choices. The results appear below.
Gender MB
Senior Elective Course Options
PreCalculus
Java
Genetics
Total
Female
50
39
43
132
Male
40
30
48
118
Total
90
69
91
250

a) What is the probability that a student chosen at random is a female?

b) What is the probability that a student chosen at random selected Genetics?

c) What is the probability that a student chosen at random is a female and selected Genetics?

d) What is the probability that a student chosen at random is a female or selected Genetics?

e) What is the probability that a student chosen at random selected Genetics, given that the student is a female?

f ) What is the probability that a student chosen at random is a female, given that the student selected Genetics?

 

 

7.
A survey asked college juniors and seniors if they could study abroad, would they choose London, Pairs, or Madrid.
The results appear below.
College
Level MB
Foreign Country for Study
London
Paris
Madrid
Total
Junior
90
80
70
240
Senior
80
95
95
270
Total
170
175
165
510

a) What is the probability that a student chosen at random is not a junior?

b) What is the probability that a student chosen at random did not select Paris?

c) What is the probability that a student chosen at random is a junior and selected Madrid?

d) What is the probability that a student chosen at random is a junior and did not select Madrid?

e) What is the probability that a student chosen at random selected London, given that the student is a senior?

f ) What is the probability that a student chosen at random is a junior, given that the student selected Paris?

 

 

8.
Participants were asked to sample unknown colas
and choose their favorite. The results are shown in the table below.
Blind study colas MB
Gender
Male
Female
Total
Pepsi
50
52
102
Coke
45
70
115
Other
35
21
56
Total
130
143
273
a) If a participant is picked at random, what is the probability that the person is male or the chosen cola is Pepsi?

b) If a participant is picked at random, what is the probability that the participant is female given that the chosen cola was Coke?
 a) Choose:
 
50/273
 
182/273
 
130/273
 
232/273

b) Choose:
 
70/115
 
70/273
 
70/143
 
115/273

cola
  

 

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".