GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Jun 2018, 12:22

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If 2 different representatives are to be selected at random from a...

Author Message
Manager
Joined: 24 May 2016
Posts: 164
If 2 different representatives are to be selected at random from a... [#permalink]

### Show Tags

24 Jul 2016, 05:38
1
00:00

Difficulty:

95% (hard)

Question Stats:

35% (02:27) correct 65% (02:17) wrong based on 37 sessions

### HideShow timer Statistics

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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3657
Re: If 2 different representatives are to be selected at random from a... [#permalink]

### Show Tags

24 Jul 2016, 06:04
EBITDA 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.

Statement 1: More than 1/2 of the 10 employees are women. Lets say 6 employee are women and 4 are men.

Probability of Both Women = 6c2/10c2 = 15/45=1/3 <1/2.

Now lets say 8 Women and 2 Men.

Probability of both Women = 8c2/10c2 = 28/45 > 1/2.

Hence, statement 1 is insufficient.

Statement 2 : The probability that both representatives selected will be men is less than 1/10.

Let say we have 3 Men and 7 Women.

probability of both men = 3c2/10c2= 3/45=1/15 < 1/10.

For this combination, we will have the probability of both women = 7c2/10c2=21/45 < 1/2

BUT, for 2 men and 8 Women, probability of both men = 1/45 <1/10

and we have calculated above that probability of both Women in this case > 1/2.

Hence, Insufficient.

Combining the statements also doesn't provide any solution. Hence, answer is E
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
NEW VISA FORUM - Ask all your Visa Related Questions - here.

How to use an Error Log? Check out my tips!

Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Math Expert
Joined: 02 Sep 2009
Posts: 46305
Re: If 2 different representatives are to be selected at random from a... [#permalink]

### Show Tags

24 Jul 2016, 07:58
EBITDA 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.

Discussed here: if-2-different-representatives-are-to-be-selected-at-random-128233.html

Topic locked.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 7066
Re: If 2 different representatives are to be selected at random from a... [#permalink]

### Show Tags

12 Sep 2017, 15:33
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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If 2 different representatives are to be selected at random from a...   [#permalink] 12 Sep 2017, 15:33
Display posts from previous: Sort by