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#1 2012-12-17 03:03:33

jacks
Member
Registered: 2012-11-21
Posts: 80

3 Dice probability

6 Dice are thrown simultaneously. Then the probability that exactly 3 of them show the same face and remaining 3 shows different face, is

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#2 2012-12-17 03:10:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Different face from the 3 or different from each other too?

Is this okay 4,4,4 and 5,5, 2 or must it be like this 6,6,6, and 1,3, 5?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2012-12-17 03:19:02

jacks
Member
Registered: 2012-11-21
Posts: 80

Re: 3 Dice probability

like this 6,6,6, and 1,3, 5

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#4 2012-12-17 04:27:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Hi;

I am getting 25 / 162 as the answer.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#5 2012-12-17 05:46:15

jacks
Member
Registered: 2012-11-21
Posts: 80

Re: 3 Dice probability

Yes bobbym you are Right.

would you like to explain it to me

Thanks

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#6 2012-12-17 12:06:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Hi jacks;

Standard yahtzee problem ( modified for 6 die ). That is the method I used.



In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#7 2012-12-18 00:13:37

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
Website

Re: 3 Dice probability

What is the theory of gf's?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#8 2012-12-18 00:17:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Hi Agnishom;

Generating functions are really a shortcut way to do all types of counting problems. They turn combinatorics and probability problems into computational ones.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#9 2012-12-19 05:23:58

jacks
Member
Registered: 2012-11-21
Posts: 80

Re: 3 Dice probability

Thanks bobbym.

bobbym would you like to give me an idea about generating function

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#10 2012-12-19 07:00:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Hi jacks;

How many ways can you select 3 balls from a pile or 4 red balls, another pile of 3 yellow balls and a pile of 2 blue balls.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#11 2012-12-19 07:10:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: 3 Dice probability

Hi bobbym

You have some unmatched parenthesis in there...

That's LaTeX, not Lisp. smile


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#12 2012-12-19 07:12:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,646

Re: 3 Dice probability

Hi;

Thanks, I have repaired the typo.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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