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Employee representatives

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Employee representatives

by rapper » Mon Oct 22, 2012 4:22 pm
If 2 different representatives are to be selected at random from a group of 10 employees

and if p is the probability that both representatives selected will be women, is p >1/2?



(1) More than1/2 of the 10 employees are women.

(2) The probability that both representatives selected will be men is less than 1/10.

Hi guys i got its answer D.Please help and post is it correct ?
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by Jim@StratusPrep » Thu Oct 25, 2012 9:33 am
You want to find the number of women that make the probability over 50%

If there are 7 women, the probability is less than 50:

7/10 * 6/9 = 42/90

And 8 is over 50%:

8/10 * 7/9 = 56/90

So the question is really, are there 8 or more women.

A) Maybe
B) This happens with 2 or 3 men, so maybe.

The answer is E.
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