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A certain company has 255 employees. If an employee is to be

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A certain company has 255 employees. If an employee is to be

by BTGmoderatorAT » Tue Oct 24, 2017 5:41 am
A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

(1) 130 of the company's employees do not have a college degree
(2) 125 of the company's employees are men

Which statement is sufficient? Experts need some help....
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Source: — Data Sufficiency |
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by DavidG@VeritasPrep » Tue Oct 24, 2017 6:26 am
ardz24 wrote:A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

(1) 130 of the company's employees do not have a college degree
(2) 125 of the company's employees are men

Which statement is sufficient? Experts need some help....
1/2 of 255 is 127.5. Rephrased question :Among the 255 employees, are there fewer than 128 women with a college degree?

1) If 130 employees do not have a college degree, then the other 125 employees do have a degree. So the maximum number of women with a college degree is 125, which is less than128. Therefore we know that the answer to the question is a definitive YES. Sufficient.

2) If 125 of the employees are men, there are 130 women. There's no way to know if fewer than 128 of these 130 women have a degree. (If all 130 women have a degree, the answer to the question would be NO, there are not fewer than 128 women with a degree.. If, say 120 of the women have a degree, the answer would be YES. Because we can get a NO or a YES, this statement alone is not sufficient. )

The answer is A.
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