unuk50 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
Given: An employee is randomly selected
What we need to find out: If the probability of selecting a woman with a college degree is less than 1/2
What we know(i) Total employees
(ii) Probability of selecting a woman with a college degree <= Probability of selecting a woman
(iii) Probability of selecting a woman with a college degree <= Probability of selecting an employee with a college degree
Statement 1 130 of the company's employees do not have a college degree
Probability of selecting an employee with a college degree = (255 - 130)/255 = (125/255) < 127.5/255 or (125/255) <1/2
Therefore, Probability of selecting a woman with a college degree < 1/2
Statement 1 is sufficient
Statement 2 125 of the company's employees are men
Probability of selecting a woman = (255 - 125)/255 = 130/255 > 1/2
Therefore, probability of selecting a woman with a college degree < (some number greater than 1/2)
We cannot conclude whether that number would be greater or lesser than 1/2
Statement 2 is insufficient
Therefore, (A) is the answer
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