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  Options
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: (w+3)/(w+m+5).
<result>E</result>
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