Last visit was: 23 Apr 2026, 10:52 It is currently 23 Apr 2026, 10:52
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
broall
User avatar
Retired Moderator
Joined: 10 Oct 2016
Last visit: 07 Apr 2021
Posts: 1,133
Own Kudos:
7,374
 [8]
Given Kudos: 65
Status:Long way to go!
Location: Viet Nam
Posts: 1,133
Kudos: 7,374
 [8]
There are 3 boxes A, B and C. In box A, there are 3 green marbles and Updated on: 11 Dec 2016, 09:03
Originally posted by broall on 11 Dec 2016, 05:21.
Last edited by broall on 11 Dec 2016, 09:03, edited 1 time in total.
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

70% (02:53) correct 30% (02:51) wrong based on 281 sessions

History

Date
Time
Result
Not Attempted Yet
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 5 yellow marbles. In box B, there are 2 red marbles and 3 green marbles. In box C, there are 4 white marbles and 5 green marbles. Choose randomly a box then pick randomly a marble from that box. What is the probability that picked marble is green?

A. 1/8
B. 55/96
C. 2/15
D. 551/1080
E. 551/360
ShowHide Answer
Official Answer
D
avatar
fleamkt
avatar
Joined: 17 Nov 2016
Last visit: 30 Mar 2017
Posts: 2
Posts: 2
Kudos: 0
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 11 Dec 2016, 08:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can you explain please?
User avatar
broall
User avatar
Retired Moderator
Joined: 10 Oct 2016
Last visit: 07 Apr 2021
Posts: 1,133
Own Kudos:
7,374
Given Kudos: 65
Status:Long way to go!
Location: Viet Nam
Posts: 1,133
Kudos: 7,374
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 11 Dec 2016, 08:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fleamkt
Can you explain please?
Show more

I'll post the solution later :-D Why dont you try this one? :-D
User avatar
vitaliyGMAT
User avatar
Joined: 13 Oct 2016
Last visit: 26 Jul 2017
Posts: 297
Own Kudos:
895
 [1]
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 895
 [1]
There are 3 boxes A, B and C. In box A, there are 3 green marbles and Updated on: 12 Dec 2016, 01:21
Originally posted by vitaliyGMAT on 11 Dec 2016, 09:37.
Last edited by vitaliyGMAT on 12 Dec 2016, 01:21, edited 2 times in total.
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
\(P(A)*P(G)+P(B)*P(G)+P(C)*P(G)\)

\(\frac{1}{3} (\frac{3}{8} + \frac{3}{5} + \frac{5}{9}) = \frac{551}{1080}\)

Answer D.

First time I got 479, have you changed something?

Thanks for posting ones again.
User avatar
broall
User avatar
Retired Moderator
Joined: 10 Oct 2016
Last visit: 07 Apr 2021
Posts: 1,133
Own Kudos:
7,374
Given Kudos: 65
Status:Long way to go!
Location: Viet Nam
Posts: 1,133
Kudos: 7,374
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 11 Dec 2016, 09:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
vitaliyGMAT
\(P(A)*P(G)+P(B)*P(G)+P(C)*P(G)\)

\(\frac{1}{3} (\frac{3}{8} + \frac{3}{5} + \frac{5}{9}) = \frac{551}{1080}\)

Answer D.

First time I got 479, have you changed something?

Thanks fo posting one again.
Show more

Yes, I've corrected some typos mistakes. Sorry about that. :-D

Posted from my mobile device
User avatar
rikson
User avatar
Joined: 13 Jul 2016
Last visit: 09 Nov 2019
Posts: 6
Given Kudos: 1
Posts: 6
Kudos: 0
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 10 Jan 2017, 03:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Vitality,,,,Why did u multiply by 1/3 of whole,,,please
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 23 Apr 2026
Posts: 16,441
Own Kudos:
79,396
 [1]
Given Kudos: 484
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,441
Kudos: 79,396
 [1]
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 10 Jan 2017, 04:58
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
nguyendinhtuong
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 5 yellow marbles. In box B, there are 2 red marbles and 3 green marbles. In box C, there are 4 white marbles and 5 green marbles. Choose randomly a box then pick randomly a marble from that box. What is the probability that picked marble is green?

A. 1/8
B. 55/96
C. 2/15
D. 551/1080
E. 551/360
Show more

The probability of picking a green marble from the different boxes is different.

Probability of picking box A = 1/3
Probability of picking a green marble from box A = 3/8

Probability of picking box B = 1/3
Probability of picking a green marble from box B = 3/5

Probability of picking box C = 1/3
Probability of picking a green marble from box C = 5/9

Probability of picking a green marble from box A, B or C = (1/3)*(3/8) + (1/3)*(3/5) + (1/3)*(5/9) = 1/8 + 1/5 + 5/27 = 551/1080
User avatar
rikson
User avatar
Joined: 13 Jul 2016
Last visit: 09 Nov 2019
Posts: 6
Given Kudos: 1
Posts: 6
Kudos: 0
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 13 Jan 2017, 00:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I got the cake,,,actually I didn't observe the line,,,,choose randomly a box and then picking up marble,,,,,,Thank you Karishma mam,,,,,
User avatar
ShashankDave
User avatar
Joined: 03 Apr 2013
Last visit: 26 Jan 2020
Posts: 215
Own Kudos:
301
Given Kudos: 872
Location: India
Concentration: Marketing, Finance
Schools: McDonough '21 (A) Kelley '21 ISB '21 (I)
GMAT 1: 740 Q50 V41
GPA: 3
Schools: McDonough '21 (A) Kelley '21 ISB '21 (I)
GMAT 1: 740 Q50 V41
Posts: 215
Kudos: 301
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 13 Jul 2017, 00:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
VeritasPrepKarishma
nguyendinhtuong
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 5 yellow marbles. In box B, there are 2 red marbles and 3 green marbles. In box C, there are 4 white marbles and 5 green marbles. Choose randomly a box then pick randomly a marble from that box. What is the probability that picked marble is green?

A. 1/8
B. 55/96
C. 2/15
D. 551/1080
E. 551/360

The probability of picking a green marble from the different boxes is different.

Probability of picking box A = 1/3
Probability of picking a green marble from box A = 3/8

Probability of picking box B = 1/3
Probability of picking a green marble from box B = 3/5

Probability of picking box C = 1/3
Probability of picking a green marble from box C = 5/9

Probability of picking a green marble from box A, B or C = (1/3)*(3/8) + (1/3)*(3/5) + (1/3)*(5/9) = 1/8 + 1/5 + 5/27 = 551/1080
Show more

Hello VeritasPrepKarishma

I have solved this problem in the same way. I wonder how to do this using only combinatorics. Your inputs would be great :)
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,964
Own Kudos:
1,117
Posts: 38,964
Kudos: 1,117
There are 3 boxes A, B and C. In box A, there are 3 green marbles and 20 Feb 2025, 12:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109782 posts
Krunaal
Tuck School Moderator
853 posts