Last visit was: 23 Apr 2026, 19:47 It is currently 23 Apr 2026, 19:47
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: 23 Apr 2026
Posts: 109,785
Own Kudos:
810,875
 [6]
Given Kudos: 105,853
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,785
Kudos: 810,875
 [6]
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
avatar
AlexIV
Joined: 12 Dec 2015
Last visit: 23 Aug 2021
Posts: 15
Own Kudos:
10
 [2]
Given Kudos: 28
Posts: 15
Kudos: 10
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,777
Own Kudos:
13,047
 [3]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,777
Kudos: 13,047
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
cecammiade
Joined: 06 Feb 2016
Last visit: 22 Feb 2017
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 1
Posts: 1
Kudos: 1
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I found it easiest to make a quick chart, it took about 1 min

If the top horizontal row is the first die and the first vertical row the second die then, the difference between the two is the result in the number chart.
I just counted the 2s to avoid missing any and then since it is 6x6 for all possible outcomes, then 8/36 is the answer. Hence 2/9

- 123456
1 012345
2 101234
3 210123
4 421012
5 532101
6 643210
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,777
Own Kudos:
13,047
 [3]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,777
Kudos: 13,047
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi cecammiade,

That type of 'brute force' approach is perfect for certain types of questions on Test Day. As you've pointed out, it didn't take much time or effort to do the work and THAT is something to keep in mind as you're working through the entire GMAT. Most GMAT questions can be solve in a variety of ways, so sometimes you just have to put the pen on the pad and quickly 'map out' the solution. Your willingness to think in those terms likely means that you have a high potential to score well on Test Day.

GMAT assassins aren't born, they're made,
Rich
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 23 Apr 2026
Posts: 6,976
Own Kudos:
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: 6,976
Kudos: 16,908
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
When two dice are rolled, what is the probability that the difference between the two numbers is 2?

(A) 1/9
(B) 2/9
(C) 1/3
(D) 2/3
(E) None of the above

Total Outcomes = 6*6 = 36

Favorable outcomes = {1, 3}, {2, 4}, {3, 5}, {3, 1}, {4, 6}, {4, 2}, {5, 3}, {6, 4} = 8 cases

Probability = Favorable Outcomes / Total Outcomes = 8/36 = 2/9

Answer: Option B
User avatar
rhine29388
Joined: 24 Nov 2015
Last visit: 21 Oct 2019
Posts: 386
Own Kudos:
Given Kudos: 231
Location: United States (LA)
Products:
Posts: 386
Kudos: 146
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Probability = Favorable outcomes / Total outcomes
Possible Favorable outcomes = (1,3) , (2,4) , (3,5) , (4,6) , (3,1) , (4,2) , (5,3) , (6,4)
Number of possible outcomes = 8
Total outcomes = 6 * 6 = 36

Probability = \(\frac{8}{36}\) = \(\frac{2}{9}\)
correct answer - B
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,710
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
When two dice are rolled, what is the probability that the difference between the two numbers is 2?

(A) 1/9
(B) 2/9
(C) 1/3
(D) 2/3
(E) None of the above

There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled. Of the 36 possible outcomes, there are 8 outcomes with a difference of 2: (1,3), (3,1), (2,4), (4,2), (3,5), (5,3), (4,6), (6,4). So, the probability of getting the difference of 2 is 8/36 = 2/9.

Answer: B
User avatar
BrushMyQuant
Joined: 05 Apr 2011
Last visit: 03 Apr 2026
Posts: 2,286
Own Kudos:
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert
Expert reply
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,286
Kudos: 2,680
Kudos
Add Kudos
Bookmarks
Bookmark this Post
↧↧↧ Detailed Video Solution to the Problem ↧↧↧



Given that Two dice are rolled and we need to find What is the probability that the difference between the two numbers is 2?

As we are rolling two dice => Number of cases = \(6^2\) = 36

Lets start listing down the cases where the difference between the two numbers is 2. Following are the possible cases
(1,3)
(2,4)
(3,1), (3,5)
(4,2), (4,6)
(5,3)
(6,4)

=> 8 cases

=> Probability that the difference between the two numbers is 2 = \(\frac{8}{36}\) = \(\frac{2}{9}\)

So, Answer will be B
Hope it helps!

Playlist on Solved Problems on Probability here

Watch the following video to MASTER Dice Rolling Probability Problems

Moderators:
Math Expert
109785 posts
Tuck School Moderator
853 posts