Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Sep 2014, 07:04

Close

GMAT Club Daily Prep

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 2 different representatives are to be selected at random

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
User avatar
Joined: 02 Jan 2007
Posts: 211
Followers: 2

Kudos [?]: 0 [0], given: 0

GMAT Tests User
If 2 different representatives are to be selected at random [#permalink] New post 18 May 2007, 13:25
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 1/2?

(1) More than 1/2 of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10.

Stay tuned for the OA :wink:
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1157
Followers: 6

Kudos [?]: 116 [0], given: 0

GMAT Tests User
 [#permalink] New post 18 May 2007, 13:31
this answer was deleted ! to avoid confusion !

see the right answer in the followup posts.

:oops:

Last edited by KillerSquirrel on 18 May 2007, 14:26, edited 3 times in total.
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

Kudos [?]: 37 [0], given: 0

GMAT Tests User
Re: DS Probability [#permalink] New post 18 May 2007, 13:40
vikramjit_01 wrote:
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 1/2?

(1) More than 1/2 of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10.

Stay tuned for the OA :wink:


10c2 = 45

we need total 23 pairs of women to have p>1/2
to have 23 pair, we need 8 women.

from 1:
if w = 6, 6c2 = 15, p = 15/45 <1> 1/2

so nsf.

from 2:
if p < 1/10 for both men, no of pair of both men is less than 4.5. since 4.5 pair can not be possible therefore it must be 4 or 3 or 2 or 1. what ever be the pair, no of men can not be more than 3 because if no of men is 4, then the pair of both men becomes 6, which is not possible.. therefore the no of men is 3 or less than 3.

if n (men) = 3......p (both women) <1> 1/2

so still not suff.....

togather is also nsf.
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

Kudos [?]: 37 [0], given: 0

GMAT Tests User
Re: DS Probability [#permalink] New post 18 May 2007, 13:50
Himalayan wrote:
vikramjit_01 wrote:
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 1/2?

(1) More than 1/2 of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10.

Stay tuned for the OA :wink:


10c2 = 45

we need total 23 pairs of women to have p>1/2
to have 23 pair, we need 8 women.

from 1:
if w = 6, 6c2 = 15, p = 15/45 <1> 1/2

so nsf.

from 2:
if p < 1/10 for both men, no of pair of both men is less than 4.5. since 4.5 pair can not be possible therefore it must be 4 or 3 or 2 or 1. what ever be the pair, no of men can not be more than 3 because if no of men is 4, then the pair of both men becomes 6, which is not possible.. therefore the no of men is 3 or less than 3.

if n (men) = 3......p (both women) <1> 1/2

so still not suff.....

togather is also nsf.


this is not what i have posted. i tried reposting what i did but it is not posting what exactly i wrote.

10c2 = 45

we need total 23 pairs of women to have p > 1/2
to have 23 pair, we need 8 women.

from 1:

if w = 6, 6c2 = 15, p = 15/45 is less 1/2
if w = 7, 7c2 = 21, p = 21/45 is less 1/2
if w = 8, 8c2 = 28, p = 28/45 is grater 1/2

so nsf.

from 2:
if p < 1/10 for both men, no of pair of both men is less than 4.5. since 4.5 pair can not be possible therefore it must be 4 or 3 or 2 or 1. what ever be the pair, no of men can not be more than 3 because if no of men is 4, then the pair of both men becomes 6, which is not possible.. therefore the no of men is 3 or less than 3.

if m = 3, w = 7, 7c2 = 21, p = 21/45 is less 1/2

if m = 2, w = 8, 8c2 = 28, p = 28/45 is grater 1/2

so still not suff.....

togather is also nsf.


EEE
Manager
Manager
User avatar
Joined: 02 Jan 2007
Posts: 211
Followers: 2

Kudos [?]: 0 [0], given: 0

GMAT Tests User
 [#permalink] New post 18 May 2007, 14:22
Nice work Himalayan (nice avatar too) especially with Statement II.
Both statements almost reach the same conclusion from opposite directions and so C doesn't stand a chance here.

Yes OA = E :good
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

Kudos [?]: 37 [0], given: 0

GMAT Tests User
 [#permalink] New post 18 May 2007, 14:36
vikramjit_01 wrote:
Nice work Himalayan (nice avatar too) especially with Statement II.
Both statements almost reach the same conclusion from opposite directions and so C doesn't stand a chance here.

Yes OA = E :good


Thanks Vikramjit. my avatar is a real picture of KUMARI, a living goddes.

more about Kumari: http://en.wikipedia.org/wiki/Kumari
Manager
Manager
User avatar
Joined: 02 Jan 2007
Posts: 211
Followers: 2

Kudos [?]: 0 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 May 2007, 05:31
From that link
"The power of the Kumari is perceived to be so strong that even a glimpse of her is believed to bring good fortune"

I guess Himalayan's avatar might bring us all some good fortune :)
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

Kudos [?]: 37 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 May 2007, 09:54
vikramjit_01 wrote:
From that link
"The power of the Kumari is perceived to be so strong that even a glimpse of her is believed to bring good fortune"

I guess Himalayan's avatar might bring us all some good fortune :)



Fortunately, I had her glimpses. She is above beauty (800). :wink:
  [#permalink] 19 May 2007, 09:54
    Similar topics Author Replies Last post
Similar
Topics:
If 2 different representatives are to be selected at random apollo168 7 22 Aug 2006, 23:09
If 2 different representatives are to be selected at random TeHCM 6 23 May 2006, 17:54
If 2 different representatives are to be selected at random sperumba 6 15 Jan 2006, 09:53
If 2 different representatives are to be selected at random nakib77 2 11 Nov 2005, 04:10
2 different representatives are to be selected at random AJB77 2 02 Jul 2005, 19:47
Display posts from previous: Sort by

If 2 different representatives are to be selected at random

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.