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 consists of n women and k men. In addition there [#permalink]
15 Feb 2012, 10:07
4
This post received KUDOS
3
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
55% (hard)
Question Stats:
63% (02:20) correct
37% (01:39) wrong based on 383 sessions
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probability that the number of women on the committee will increase?
Re: A committee consists of n women and k men. In addition there [#permalink]
15 Feb 2012, 11:20
1
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Re: A committee consists of n women and k men. In addition there [#permalink]
15 Feb 2012, 11:31
Bunuel wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Answer: B.
My intuition drove me to B, as well but.. I couldn't find the way! Thank you!!
Re: A committee consists of n women and k men. In addition there [#permalink]
03 Jul 2012, 08:40
1
This post received KUDOS
Here is how I analyzed it if it helps:
The probability of selecting a woman from the alternates as given is - (2/4) = (1/2) The probability of selecting a woman from the committee is - n/(n+k)
Now, we need to figure out the probability of pick a woman from the committee AND from the alternates [P(W&W)]. Therefore this is an AND problem.
Re: A committee consists of n women and k men. In addition there [#permalink]
07 Jun 2013, 08:17
2
This post received KUDOS
1
This post was BOOKMARKED
tom09b wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
(1) n + k = 12 (2) k/n = 1/3
Rewording of the question: What is the probability that a man is chosen to be replaced and the alternate to replace him is a woman.
What you need is (probability of man chosen) x (probability of woman alternate)
Re: A committee consists of n women and k men. In addition there [#permalink]
20 Mar 2014, 04:34
Bunuel wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Answer: B.
. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2. Please elaborate on this ..
Re: A committee consists of n women and k men. In addition there [#permalink]
20 Mar 2014, 04:57
Expert's post
tusharGupta1 wrote:
Bunuel wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Answer: B.
. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2. Please elaborate on this ..
For the number of women on the committee to increase we must replace a man from the committee with a woman from 4 alternates.
The probability of selecting a man from the committee is (# of men in the committee)/(total # of people in the committee) = k/(k+n); The probability of selecting a woman from 4 alternates is (# of women)/(total # of people) = 2/4 = 1/2.
Therefore, the probability that we select a man from the committee AND a woman from 4 alternates is k/(k+n)*1/2.
Re: A committee consists of n women and k men. In addition there [#permalink]
20 Mar 2014, 05:33
Bunuel wrote:
tusharGupta1 wrote:
Bunuel wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Answer: B.
. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2. Please elaborate on this ..
For the number of women on the committee to increase we must replace a man from the committee with a woman from 4 alternates.
The probability of selecting a man from the committee is (# of men in the committee)/(total # of people in the committee) = k/(k+n); The probability of selecting a woman from 4 alternates is (# of women)/(total # of people) = 2/4 = 1/2.
Therefore, the probability that we select a man from the committee AND a woman from 4 alternates is k/(k+n)*1/2.
Hope it's clear.
Thankx a ton ............................................................................................................................................................
Re: A committee consists of n women and k men. In addition there [#permalink]
12 May 2014, 04:12
Bunuel wrote:
tusharGupta1 wrote:
Bunuel wrote:
A committee consists of n women and k men. In addition there are 4 alternates, 2 of whom are women. If one of the committee members is selected at random to be replaced by one of the alternates, also selected at random, what is the probabilty that the number of women on the committee will increase?
Notice that the probability of selecting a woman from 4 alternates is 1/2.
Now, the number of women on the committee will increase if we replace a man from the committee with a woman from 4 alternates. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2.
(1) n + k = 12. Not sufficient as we can not get the probability of selecting a man from the committee. (2) k/n = 1/3 --> k/(k+n)=1/4. Sufficient.
Answer: B.
. Hence, the probabilty that the number of women on the committee will increase is k/(k+n)*1/2. Please elaborate on this ..
For the number of women on the committee to increase we must replace a man from the committee with a woman from 4 alternates.
The probability of selecting a man from the committee is (# of men in the committee)/(total # of people in the committee) = k/(k+n); The probability of selecting a woman from 4 alternates is (# of women)/(total # of people) = 2/4 = 1/2.
Therefore, the probability that we select a man from the committee AND a woman from 4 alternates is k/(k+n)*1/2.
Hope it's clear.
Dear Bunnel
Statement A: was clearly insufficient as we didnt know n & k individually. statement B: ratio of m:w = 1:3
so suppose, 1 m and 3 women r there in the committee
and if we replace the man with women, then the no. of women will increase.
now we have no man just 4 women..
probability of a new alternate as women in the committee: 3/4*1/2 = 3/8... lesser than 3/4
but if we replace the man with a man... there should be no change right as there will be 1 man and 3 women still ans is diff therefore insufficient..
Please explain. _________________
Hope to clear it this time!! GMAT 1: 540 Preparing again
Re: A committee consists of n women and k men. In addition there [#permalink]
12 May 2014, 07:53
Expert's post
nandinigaur wrote:
Dear Bunnel
Statement A: was clearly insufficient as we didnt know n & k individually. statement B: ratio of m:w = 1:3
so suppose, 1 m and 3 women r there in the committee
and if we replace the man with women, then the no. of women will increase.
now we have no man just 4 women..
probability of a new alternate as women in the committee: 3/4*1/2 = 3/8... lesser than 3/4
but if we replace the man with a man... there should be no change right as there will be 1 man and 3 women still ans is diff therefore insufficient..
Please explain.
Don't understand what is your question...
The question asks what is the probability that the number of women on the committee will increase? The probability that the number of women on the committee will increase is k/(k+n)*1/2.
From (2) we get that k/(k+n)*1/2 = 1/4*1/2 = 1/8. _________________
Re: A committee consists of n women and k men. In addition there [#permalink]
31 Oct 2015, 11:44
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. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...