gsaxena26 wrote:
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
Attachment:
tableprob.png [ 8.93 KiB | Viewed 551 times ]
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 =
392) Self-employed but not married:
(70 - 39) =
313) 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
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80% (01:45) correct 
