Last visit was: 23 Apr 2026, 16:08 It is currently 23 Apr 2026, 16:08
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
avatar
stolyar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
Posts: 1,012
Kudos: 1,883
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
stolyar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
Posts: 1,012
Kudos: 1,883
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
bb
User avatar
Founder
Joined: 04 Dec 2002
Last visit: 23 Apr 2026
Posts: 43,154
Own Kudos:
Given Kudos: 24,677
Location: United States
GMAT 1: 750 Q49 V42
GPA: 3
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 750 Q49 V42
Posts: 43,154
Kudos: 83,716
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
stolyar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
Posts: 1,012
Kudos: 1,883
Kudos
Add Kudos
Bookmarks
Bookmark this Post
P=1–P(all three ARE the same)

P(same)=6*(1/6*1/6*1/6)=6/216=1/36

P(three ARE NOT the same)=1–1/36=35/36
User avatar
kpadma
Joined: 03 Jul 2003
Last visit: 20 Oct 2004
Posts: 380
Own Kudos:
Posts: 380
Kudos: 549
Kudos
Add Kudos
Bookmarks
Bookmark this Post
There are three fair dice rolled alltoghether. What is the probability that the gotten numbers will all not be the SAME?

Does this not mean all the three dices have three different numbers?

Am I misunderstanding the question? If so, how my understanding will
be constructed as question?
User avatar
abhaypathania
Joined: 15 Jul 2003
Last visit: 26 Nov 2003
Posts: 11
Posts: 11
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stolyar
There are three fair dice rolled alltoghether. What is the probability that the gotten numbers will all not be the SAME?


210/216 , is absolutely correct .. there are only 6 possibilities where are 3 will be the same numbers out of the 216 possible so , effectively 210 for which all three will " not " be the same... and hence the answere[/img]
User avatar
Paul
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
Posts: 2,707
Kudos: 1,651
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let's spice it up a bit. If the same 3 fair dice are thrown, can anybody find what is the probability that NO TWO numbers are the same?
User avatar
BG
Joined: 13 Nov 2003
Last visit: 29 Sep 2020
Posts: 352
Own Kudos:
Location: BULGARIA
Concentration: INSURANCE, RISK MANAGEMENT
Posts: 352
Kudos: 215
Kudos
Add Kudos
Bookmarks
Bookmark this Post
To Paul, 2 out of three dices we can select in 3 ways, 6 possibilities to select numbers for the pair and 5 for the single dice or 5x6x3=90 ways when 2 are the same. 216-90=126/216 but the option that 3 are the same is also included. If the question is no 2 AND 3 are the same then it should be 120/216.
User avatar
aspire
Joined: 16 Oct 2003
Last visit: 16 May 2005
Posts: 101
Own Kudos:
Location: India
Posts: 101
Kudos: 62
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Paul,
What is the right answer?
User avatar
Paul
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
Posts: 2,707
Kudos: 1,651
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Just wanted to have more replies on this but BG has the right answer. Congrats



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!