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#1 2012-12-18 02:03:33

jacks
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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

#2 2012-12-18 02:10:20

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2012-12-18 02:19:02

jacks
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Re: 3 Dice probability

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

#4 2012-12-18 03:27:01

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2012-12-18 04:46:15

jacks
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Re: 3 Dice probability

Yes bobbym you are Right.

would you like to explain it to me

Thanks

#6 2012-12-18 11:06:09

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#7 2012-12-18 23:13:37

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

#8 2012-12-18 23:17:10

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#9 2012-12-20 04:23:58

jacks
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Re: 3 Dice probability

Thanks bobbym.

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

#10 2012-12-20 06:00:17

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11 2012-12-20 06:10:24

anonimnystefy
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Re: 3 Dice probability

Hi bobbym

You have some unmatched parenthesis in there...

That's LaTeX, not Lisp. smile


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#12 2012-12-20 06:12:38

bobbym
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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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