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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
In a survey of 248 people, 156 are married, 70 are self-employed and 2
[#permalink]
28 Dec 2022, 09:53
28 Dec 2022, 09:53
Expert Reply
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Question Stats:
90% (02:11) correct
10% (01:43) wrong based on 10 sessions
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In a survey of 248 people, 156 are married, 70 are self-employed and 25% of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?
A. 1/8
B. 4/31
C. 117/248
D. 1/4
E. 31/117
A. 1/8
B. 4/31
C. 117/248
D. 1/4
E. 31/117
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
In a survey of 248 people, 156 are married, 70 are self-employed and 2
[#permalink]
30 Dec 2022, 23:24
30 Dec 2022, 23:24
Expert Reply
A double matrix works well here.
The calculations are simple and few, but the categories are easier to see in a matrix.
Total: 248 people
Married: 156
Self-employed: 70
1) 25 percent of those who are married are self-employed:
\(\frac{1}{4}\) * 156 = 39
2) Self-employed but not married:
(70 - 39) = 31
3) Probability that a randomly selected person from all 248 will be self-employed but not married (31):
\(\frac{31}{248} = \frac{1}{8}\)
Answer: A
Show: ::
Attachment:
tableprob.png [ 3.7 KiB | Viewed 1291 times ]
gmatclubot
In a survey of 248 people, 156 are married, 70 are self-employed and 2 [#permalink]
30 Dec 2022, 23:24
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