Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

20 Dec 2012, 05:30

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

92% (01:40) correct
8% (01:00) wrong based on 705 sessions

HideShow timer Statistics

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 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

Let no of Women =10 Let no of Men =8 After addition of new ppl Women =13 , Men =10 , total =23

To select 1 woman out of the total (23)

\(13/23\)

On substituting in the answers B fits. What am i doing wrong ?..

If you substitute w=10 and m=8 in option B you get w/(w+m)=8/18 not 13/23, while option E gives (w+3)/(w+m+5)=13/23. Notice that w and m are the numbers of women and men BEFORE 3 women and 2 men were added to the committee.

Re: A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

14 Feb 2015, 15:03

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

03 Apr 2015, 14:59

I solved based on the word enlarged and took it to mean the new total of people on the committee. Hence, ended up with answer B, but from your solution the question is asking for the probability of picking a woman from the initial group of people. Anyway to avoid this in the future?

We're told that a committee is composed of W women and M men.

IF... W = 2 M = 3

3 women and 2 men are then ADDED to the committee.....

Women = 2+3 = 5 Men = 3+2 = 5

The question asks for the probability of selecting a woman from this larger group:

5 women and 10 total people --> 5/10

So we're looking for an answer that = 5/10 = 1/2 when W=2 and M=3

Answer A: 2/3 NOT a match Answer B: 2/(2+3) = 2/5 NOT a match Answer C: (2+3)/(3+2) = 5/5 NOT a match Answer D: (2+3)/(2+3+3) = 5/8 NOT a match Answer E: (2+3)/(2+3+5) = 5/10 This IS a match

Re: A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

03 Apr 2015, 17:27

EMPOWERgmatRichC wrote:

Hi All,

This question is perfect for TESTing VALUES.

We're told that a committee is composed of W women and M men.

IF... W = 2 M = 3

3 women and 2 men are then ADDED to the committee.....

Women = 2+3 = 5 Men = 3+2 = 5

The question asks for the probability of selecting a woman from this larger group:

5 women and 10 total people --> 5/10

So we're looking for an answer that = 5/10 = 1/2 when W=2 and M=3

Answer A: 2/3 NOT a match Answer B: 2/(2+3) = 2/5 NOT a match Answer C: (2+3)/(3+2) = 5/5 NOT a match Answer D: (2+3)/(2+3+3) = 5/8 NOT a match Answer E: (2+3)/(2+3+5) = 5/10 This IS a match

I used TEST IT, and those exact figures. Where I went wrong was using the total number of women (5) and men (5) to solve since the question asked for enlarged which I took to mean all/total. How do I avoid this trap in the future? Practice?

After reading your 2 posts, I'm not exactly sure what you're asking. You ARE supposed to use the ENLARGED group (M+W+3+2) to get the correct answer.

The questions that you'll face on the Official GMAT are always carefully worded to make sure that there's no mis-understanding (or 'bias') on the part of the Test Taker. Here, the prompt tells us that the 5 people are added and then asks for the probability of selecting a woman from the ENLARGED group - that's a clear set of 'instructions.'

You might find some practice problems that are not written in such a meticulous fashion, but that's okay. There will always be some inconsistencies in how GMAT companies design their materials. The big 'takeaway' is that you were strategic about how you approached the prompt - keep thinking in THAT way, and your scores should improve.

Re: A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

07 Jun 2016, 11:41

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: A committee is composed of w women and m men. If 3 women and [#permalink]

Show Tags

28 Jun 2016, 04:38

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

probability = (number of favorable outcomes)/(total number of outcomes) In the problem we are being asked for the probability of a woman being selected.

favorable outcomes = a woman being selected

number of favorable outcomes = w + 3

We see that we started with w women and then 3 women were added.

total outcomes = total people in the committee

number of total outcomes = w + 3 + m + 2 = w + m + 5

We see that we started with w women and then 3 women were added, and we started with m men and 2 men were added. Thus the probability of a woman being selected is:

(w + 3)/(w + m + 5)

The answer is E.
_________________

Jeffrey Miller Scott Woodbury-Stewart Founder and CEO

gmatclubot

Re: A committee is composed of w women and m men. If 3 women and
[#permalink]
28 Jun 2016, 04:38

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...