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Practice with Two-Way Tables
and Probability
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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
Total
Female
48
45
93
Male
35
60
95
Total
83
105
188
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
Total
21 - 40
30
12
8
50
41 - 60
20
40
15
75
Over 60
25
35
15
75
Total
75
87
38
200
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 that a person chosen at random is an older voter (> 65) and voted "NO"?
a) Choose:
 
65/149
 
104/169
 
169/463
 
249/463

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

football
  

 

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