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There are three fair dice rolled alltoghether. What is the

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SVP
Joined: 03 Feb 2003
Posts: 1604
There are three fair dice rolled alltoghether. What is the [#permalink]

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12 Mar 2003, 06:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

There are three fair dice rolled alltoghether. What is the probability that the gotten numbers will all not be the SAME?
SVP
Joined: 03 Feb 2003
Posts: 1604

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12 Mar 2003, 23:20
There are so many experts in the neighborhood.
I am getting a little bit nervous
Founder
Joined: 04 Dec 2002
Posts: 15148
Location: United States (WA)
GMAT 1: 750 Q49 V42

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07 Jun 2003, 23:38
Alrighty, explanations time
SVP
Joined: 03 Feb 2003
Posts: 1604

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08 Jun 2003, 01:35
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
Director
Joined: 03 Jul 2003
Posts: 652

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22 Jul 2003, 19:58
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?
Intern
Joined: 15 Jul 2003
Posts: 20
Re: Three dice (experts only) [#permalink]

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22 Jul 2003, 20:44
stolyar wrote:
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]
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abhay pathania
GE US

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288

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11 Jan 2004, 19:38
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?
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Paul

Director
Joined: 13 Nov 2003
Posts: 789
Location: BULGARIA

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12 Jan 2004, 05:57
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.
Manager
Joined: 16 Oct 2003
Posts: 152
Location: India

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12 Jan 2004, 12:05
Paul,
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288

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12 Jan 2004, 12:28
Just wanted to have more replies on this but BG has the right answer. Congrats
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Best Regards,

Paul

12 Jan 2004, 12:28
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