Last visit was: 08 Nov 2024, 07:07 It is currently 08 Nov 2024, 07:07
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A drawer contains 6 socks. Two socks are randomly selected without rep

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12184 [8]
Given Kudos: 136
Send PM

Top Member of the Month
A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   19 Apr 2022, 01:47
1
7
Bookmarks
00:00

Question Stats:

49% (02:26) correct 49% (01:30) wrong based on 34 sessions

Hide Show timer Statistics

A drawer contains 6 socks. Two socks are randomly selected without replacement. The probability is greater than 0.4 that both socks will be white.

Quantity A
Quantity B
The probability that both socks will be black
1/6



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
ShowHide Answer
Official Answer
B
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29912
Own Kudos [?]: 36148 [0]
Given Kudos: 25890
Send PM
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   05 May 2022, 22:36
Expert Reply
Image



Replying to the question in 48 Hours

avatar
B
Paul121
Manager
Manager
Joined: 19 Jun 2021
Posts: 52
Own Kudos [?]: 27 [1]
Given Kudos: 24
Send PM
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   21 May 2022, 13:15
1
Total: 6 socks.
Get 2 white socks probability without replacement: [(x)/6]*[(x-1)/5]=0.4
Equation: x^2-x-12=0
(x-4)(x+3)=0
x must be positive so the answer it 4.

So there are 4 white socks and another 2 socks (assuming black, not mentioned in the question, so if not black, the answer will be D).
If there are 4 white and 2 black socks. The probability to get 2 black socks is: (1/6)*(1/5) = 1/30.

The answer is B.
avatar
krpajedrez
Intern
Intern
Joined: 10 May 2022
Posts: 9
Own Kudos [?]: 12 [3]
Given Kudos: 1
Send PM
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   23 May 2022, 03:48
2
1
Bookmarks
Paul121 wrote:
Total: 6 socks.
Get 2 white socks probability without replacement: [(x)/6]*[(x-1)/5]=0.4
Equation: x^2-x-12=0
(x-4)(x+3)=0
x must be positive so the answer it 4.

So there are 4 white socks and another 2 socks (assuming black, not mentioned in the question, so if not black, the answer will be D).
If there are 4 white and 2 black socks. The probability to get 2 black socks is: (1/6)*(1/5) = 1/30.

The answer is B.


Not really.
Your very first expression should have " > 0.4 " and not " = 0.4"
which will yield (x-4)(x+3) > 0
and, x>4

x = {5,6}

Since white balls are either 5 or 6 in numbers, black balls are 0 or 1 in number.
So, the probability of getting 2 black balls is 0.

Hence, B is the answer.
avatar
B
DAbhilasha
Intern
Intern
Joined: 03 Jul 2021
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 8
Send PM
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   07 Jul 2022, 00:03
Paul121 wrote:
Total: 6 socks.
Get 2 white socks probability without replacement: [(x)/6]*[(x-1)/5]=0.4
Equation: x^2-x-12=0
(x-4)(x+3)=0
x must be positive so the answer it 4.

So there are 4 white socks and another 2 socks (assuming black, not mentioned in the question, so if not black, the answer will be D).
If there are 4 white and 2 black socks. The probability to get 2 black socks is: (1/6)*(1/5) = 1/30.

The answer is B.


What about 30 in the denominator in the first equation? Can you expand on the first equation?
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5011
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink] New post   24 Aug 2024, 08:24
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: A drawer contains 6 socks. Two socks are randomly selected without rep [#permalink]
24 Aug 2024, 08:24
Moderators:
adewale223
GRE Instructor
77 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact