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**jacks****Member**- Registered: 2012-11-21
- Posts: 84

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

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.****If it ain't broke, fix it until it is.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 84

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

Hi;

I am getting 25 / 162 as the answer.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 84

Yes bobbym you are Right.

would you like to explain it to me

Thanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

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.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

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.****If it ain't broke, fix it until it is.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 84

Thanks bobbym.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

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.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Hi bobbym

You have some unmatched parenthesis in there...

That's LaTeX, not Lisp.

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

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,772

Hi;

Thanks, I have repaired the typo.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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