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#351 2013-09-22 05:57:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

How about 5 dice?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#352 2013-09-22 06:01:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

295/432.


“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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#353 2013-09-22 06:05:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

That is correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#354 2013-09-22 06:21:01

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

So, what now?


“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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#355 2013-09-22 06:24:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

How about for 50?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#356 2013-09-22 07:16:46

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

0.80492350924497374936...


“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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#357 2013-09-22 07:37:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

That is correct. Now for the original problem?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#358 2013-09-22 07:38:59

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

0.86881091671669455828...


“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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#359 2013-09-22 07:41:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

That is correct. You were unable to get the exact answer?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#360 2013-09-22 07:42:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

I have the exact answer, it is just very big.


“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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#361 2013-09-22 07:43:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

Okay, then you are done. Very good work!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#362 2013-09-22 07:45:58

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

Well, why did you say earlier that my answer is incorrect?

Last edited by anonimnystefy (2013-09-22 07:46:17)


“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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#363 2013-09-22 07:50:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

Because your first answer was incorrect.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#364 2013-09-22 07:53:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

Ah, yes, it was. But I am not getting your exact answer...


“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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#365 2013-09-22 07:53:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

What is your exact answer?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#366 2013-10-08 13:57:08

Fruityloop
Member
Registered: 2009-05-18
Posts: 120

Re: Generating Functions

This is back a few pages..
Now supposing 2 die had faces of 2,4,6,8,10,12 and 2 other die had faces of 1,3,5,7,9,11.
All four die are thrown once. What is the probability of them summing to 20 or more?

Is it 545/648?


The eclipses from Algol (an eclipsing binary star) come further apart in time when the Earth is moving away from Algol and closer together in time when the Earth is moving towards Algol, thereby proving that the speed of light is variable and that Einstein's Special Theory of Relativity is wrong.

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#367 2013-10-08 14:34:48

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

That is correct.


“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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#368 2013-12-12 09:40:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

bobbym wrote:

That is correct. You were unable to get the exact answer?


“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

Online

#369 2013-12-12 10:56:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

What is the question?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#370 2013-12-12 10:59:59

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

The same it's been at least 2 pages. It's your non-prime sum of 1000 dice problem


“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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#371 2013-12-12 11:01:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

Non prime sum? What kind of a madman would ask that?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#372 2013-12-12 11:03:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

You would, it seems.


“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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#373 2013-12-12 11:11:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

You already got that answer back in post #342.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#374 2013-12-12 12:09:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,531

Re: Generating Functions

That one wasn't correct.


“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

Online

#375 2013-12-12 13:25:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Generating Functions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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