Last visit was: 09 Jul 2025, 02:11 It is currently 09 Jul 2025, 02:11
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 08 Jul 2025
Posts: 102,604
Own Kudos:
739,675
 [4]
Given Kudos: 97,452
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,604
Kudos: 739,675
 [4]
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
User avatar
svasan05
User avatar
CrackVerbal Representative
Joined: 02 Mar 2019
Last visit: 24 Feb 2023
Posts: 269
Own Kudos:
293
 [1]
Expert
Expert reply
Posts: 269
Kudos: 293
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 08 Jul 2025
Posts: 6,371
Own Kudos:
15,566
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,371
Kudos: 15,566
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,681
Own Kudos:
19,419
 [2]
Given Kudos: 165
Expert
Expert reply
Posts: 3,681
Kudos: 19,419
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



Given
In this question, we are given
    A bag with two blue and two red socks
    Two socks are randomly drawn out

To find
We need to determine
    The probability that these two have the same color

Approach and Working out

    Probability(same color) = Prob(both blue or both red)
      Prob(both blue) = Prob(first blue, second blue) = \(\frac{2}{4}\) × \(\frac{1}{3}\) = \(\frac{1}{6}\)
      Prob(both red) = Prob(first red, second red) = \(\frac{2}{4}\) × \(\frac{1}{3}\) = \(\frac{1}{6}\)
        Prob(both blue or both red) = \(\frac{1}{6}\) + \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)


Thus, option B is the correct answer.

Correct Answer: Option B
User avatar
Pritishd
User avatar
UNC Kenan Flagler Moderator
Joined: 18 Jul 2015
Last visit: 05 Jul 2025
Posts: 235
Own Kudos:
Given Kudos: 120
GMAT 1: 530 Q43 V20
WE:Analyst (Consumer Packaged Goods)
GMAT 1: 530 Q43 V20
Posts: 235
Kudos: 287
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A bag contains two blue socks and two red socks. Two socks are randomly drawn out. What is the probability that that they are matching in color?

A. 1/2
B. 1/3
C. 1/4
D. 1/5
E. 1/6

No matter easy or tough, probability questions are always fun to solve :)

1. We have 2 red and 2 blue socks and a total of 4 socks

2. What is the probability that that they are matching in color? - In other words, what is the probability of picking 2 red socks or 2 blue socks in a row

3. Probability of picking 2 blue socks is \(= \frac{2}{4} * \frac{1}{3} = \frac{1}{6}\)

4. OR Probability of picking 2 red socks is \(= \frac{2}{4} * \frac{1}{3} = \frac{1}{6}\)

5. Adding 3. and 4. we get, \(\frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}\)

Ans. B
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 08 Jul 2025
Posts: 21,064
Own Kudos:
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,064
Kudos: 26,113
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A bag contains two blue socks and two red socks. Two socks are randomly drawn out. What is the probability that that they are matching in color?

A. 1/2
B. 1/3
C. 1/4
D. 1/5
E. 1/6
Solution:

P(matching color socks) = P(blue followed by blue) + P(red followed by red)

= 2/4 * 1/3 + 2/4 * 1/3

= 1/6 + 1/6 = 1/3

Answer: B
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,360
Own Kudos:
Posts: 37,360
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102604 posts
PS Forum Moderator
679 posts