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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

**A die is rolled until the same number comes up twice in a row. What is the expected number of rolls?**

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

It's like I read your mind. I had already done that one on my own. The answer should be 12. And for three same numbers in a row, I get 43.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

I do not recommend trying to read my mind. A girl I knew tried that and it was instantly fatal. A couple of biophysicists believe that total protonic reversal caused massive neuronic damage to the lobar condulum.

Your answer is not correct.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

New answer: 7.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

That is not right either. Actually, the problem is related to a CCP but we have not covered that yet.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Are you sure?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

Yes I am sure. How are you getting 7?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Markov chain!

((0,1,0),(0,5/6,1/6),(0,0,1))

What are you getting?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

Sorry, I am doing the wrong problem! 7 is correct. Very good answer!

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Thanks. What problem were you doing?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Something I am just trying to learn and the guys bad latexing fouled up everything. I do not know why that should affect your problem but it did, sorry.

Please label your Markov chain and put it into the correct form as we discussed.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Correct form?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Post # 28 and #36 has a starting explanation that will help. Also label the what went where.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Do I really have to?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

Yes, please do. Labeling is very important for me to see if you have arranged the matrix correctly.

Generally the most important part of solving any problem is labeling, naming and neat work!

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Of course it is not.

You would be surprised how the notebook I do math in looks.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

You would be surprised how the notebook I do math in looks.

I hope it is nice and neat. Now what about the labeled matrix I asked for?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

It is the exact opposite of nice and neat.

*Last edited by anonimnystefy (2012-11-08 04:57:43)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Hi;

Okay, thank you but I am unable to get that into correct form! What was your calculation to get 7?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Well, when you strip away the absorbing state, you get ((0,1),(0,5/6)). Then you do the (I-P)[sup]-1[/sup] thing.

*Last edited by anonimnystefy (2012-11-08 06:28:28)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

Kayrect! That is very good.

And do we have another way to solve the problem?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Yes we do. A formula.

E=1/6 * 2+5/6 * (E+1)

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

And another way?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

With a simulation.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,886

And yet another way?

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

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