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# If one of the workers in the manufacturing and service indus

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If one of the workers in the manufacturing and service indus [#permalink]  24 Jan 2016, 14:19
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Question Stats:

72% (01:17) correct 27% (01:05) wrong based on 54 sessions
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#GREpracticequestion If one of the workers in the manufacturing .jpg [ 74.75 KiB | Viewed 2920 times ]

If one of the workers in the manufacturing and service industries who were unemployed for at least 1 week will be randomly selected, what is the probability that the person selected will be a service industry worker who was unemployed for 26 weeks or more?

A. 0.04

B. 0.09

C. 0.21

D. 0.40

E. 0.90

Practice Questions
Question: 19
Page: 462
Difficulty: medium
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 12670
Followers: 269

Kudos [?]: 3182 [1] , given: 11688

Re: If one of the workers in the manufacturing and service indus [#permalink]  24 Jan 2016, 14:23
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Expert's post
Solution

$$\frac{the number of service industry workers who were unemployed 26 weeks or more}{the number of workers in the two industries who were unemployed at least 1 week}$$

The number of workers in the two industries who were unemployed for at least 1 week is the sum of the total numbers of workers represented by the two graphs, or 10 million+8 million=18 million.
According to the graph for the service industry, the number of workers who were unemployed for 26 weeks or more is 9% of 8 million, or 0.72 million.

The desired probability is $$\frac{0.72 million}{18million}=0.04$$

The answer is $$A$$
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