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#176 2013-12-24 05:13:07

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#177 2013-12-24 05:16:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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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#178 2013-12-24 05:24:32

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#179 2013-12-24 05:34:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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.

Offline

#180 2013-12-24 05:37:26

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#181 2013-12-24 05:39:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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.

Offline

#182 2013-12-24 05:45:05

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Ok.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#183 2013-12-24 05:51:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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.

Offline

#184 2013-12-24 06:03:22

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#185 2013-12-24 06:11:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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.

Offline

#186 2013-12-24 06:17:01

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Some more related and a little easier ones:
http://people.missouristate.edu/lesreid/Adv51.html (solution has some mistakes)
http://math.stackexchange.com/questions … ther-event

Taking a break, see you..


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#187 2013-12-24 06:24:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;

Okay, thanks for the problem and the links!


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.

Offline

#188 2013-12-24 16:08:13

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

You're welcome.

A modified question:

If only one die is thrown, what's the probability that '12' is seen before '11' ?

Last edited by gAr (2013-12-24 16:30:30)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#189 2013-12-25 00:18:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi gAr;


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.

Offline

#190 2013-12-26 01:16:36

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#191 2013-12-26 01:52:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi gAr;


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.

Offline

#192 2013-12-26 02:20:16

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

You're welcome.

Another solution for the two dice using Absorbing Markov Chain:

Last edited by gAr (2013-12-26 02:20:58)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#193 2013-12-26 05:04:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi gAr;


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.

Offline

#194 2013-12-26 05:17:18

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Now, I'm trying to obtain the probability for the players getting '11' and '12' at the same time.
Looks tricky to extract from the present model.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#195 2013-12-26 05:30:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi gAr;

Sorry, I think I got confused. I see that Q is a piece of the absorbing chain.

I can recreate the transition matrix from Q and R.


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.

Offline

#196 2013-12-26 05:46:03

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

Hi,

Yeah, felt lazy to type the full matrix, it's anyway not that useful for computation of final probabilities.

Last edited by gAr (2013-12-26 05:49:00)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#197 2013-12-26 05:48:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;

Yes, I stupidly got confused. I added to post #195.


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.

Offline

#198 2013-12-26 05:49:46

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.

I too saw after posting!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#199 2013-12-26 06:39:08

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#200 2013-12-26 07:28:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,548

Re: Probability problem.

Hi;


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.

Offline

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