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A committee is composed of w women and m men. If 3 women and

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A committee is composed of w women and m men. If 3 women and [#permalink] New post 20 Dec 2012, 06:30
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A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by

(A) w/m
(B) w/(w+m)
(C) (w+3)/(m+2)
(D) (w+3)/(w+m+3)
(E) (w+3)/(w+m+5)
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Re: A committee is composed of w women and m men. If 3 women and [#permalink] New post 20 Dec 2012, 06:32
Walkabout wrote:
A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by

(A) w/m
(B) w/(w+m)
(C) (w+3)/(m+2)
(D) (w+3)/(w+m+3)
(E) (w+3)/(w+m+5)


The total number of members on the enlarged committee is (w+3)+(m+2)=w+m+5;
The total number of women on the enlarged committee is w+3.

Thus, the probability that a woman is selected is P=favorable/total=(w+3)/(w+m+5).

Answer: E.
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Re: A committee is composed of w women and m men. If 3 women and   [#permalink] 20 Dec 2012, 06:32
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