## A committee is composed of $$w$$ women and $$m$$ men. If $$3$$ women and $$2$$ men are added to the committee, and if on

##### This topic has expert replies
Legendary Member
Posts: 1486
Joined: 01 Mar 2018
Followed by:2 members

### A committee is composed of $$w$$ women and $$m$$ men. If $$3$$ women and $$2$$ men are added to the committee, and if on

by Gmat_mission » Sun Sep 19, 2021 12:04 pm

00:00

A

B

C

D

E

## Global Stats

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) $$\dfrac{w}{m}$$

(B) $$\dfrac{w}{w+m}$$

(C) $$\dfrac{w+3}{m+2}$$

(D) $$\dfrac{w+3}{w+m+3}$$

(E) $$\dfrac{w+3}{w+m+5}$$

Source: Official Guide

### GMAT/MBA Expert

GMAT Instructor
Posts: 15867
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1267 members
GMAT Score:770

### Re: A committee is composed of $$w$$ women and $$m$$ men. If $$3$$ women and $$2$$ men are added to the committee, and i

by [email protected] » Sun Sep 19, 2021 12:11 pm
Gmat_mission wrote:
Sun Sep 19, 2021 12:04 pm
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) $$\dfrac{w}{m}$$

(B) $$\dfrac{w}{w+m}$$

(C) $$\dfrac{w+3}{m+2}$$

(D) $$\dfrac{w+3}{w+m+3}$$

(E) $$\dfrac{w+3}{w+m+5}$$

Source: Official Guide
A committee is composed of w women and m men. If 3 women and 2 men are added to the committee . . .
After the 3 women and 2 men are added, we have...
w+3 women and m+2 men

. . . and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
P(select woman) = (# of women in committee)/(TOTAL # of people on committee)
= (w+3)/(w+3 + m+2 )
= (w+3)/(w+m+5)

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com

• Page 1 of 1