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#126 2012-11-10 04:52:25

bobbym
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Re: Expectation

The expected value is 1/probability is it not?

The matrix when computed should be 13.7


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.
 

#127 2012-11-10 05:07:04

anonimnystefy
Real Member

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Re: Expectation

http://www.wolframalpha.com/input/?t=cr … 5%2F6))%5D

How is the expected value 1/probability?


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
 

#128 2012-11-10 05:17:13

bobbym
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Re: Expectation

Hi;

You did not enter the problem correctly
Matrix Inverse( IdentityMatrix[6] -  {{0,1,0,0,0,0 }, {0,1/6,5/6,0,0,0} ,{ 0,0,1/3,2/3,0,0} ,{ 0,0,0,1/2,1/2,0} ,{ 0,0,0,0,2/3,1/3} , {0,0,0,0,0,5/6 }}).{{1},{1},{1},{1},{1},{1}} gives the right result.

If the probability is 1 / 6 of something happening then we expect it to happen once in 6 times.


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.
 

#129 2012-11-10 05:27:35

anonimnystefy
Real Member

Online

Re: Expectation

My result is correct. I just didn't sum the first row.


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
 

#130 2012-11-10 05:42:45

bobbym
Administrator

Online

Re: Expectation

When I entered yours it says the trace is 14.7. The trace is the sum of the diagonal elements. It may or may not be correct.


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.
 

#131 2012-11-10 05:47:32

anonimnystefy
Real Member

Online

Re: Expectation

The trace and the sum of the first row are the same for that matrix.


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
 

#132 2012-11-10 06:09:10

bobbym
Administrator

Online

Re: Expectation

Yes, but are you sure that will always be the case?

This way spits the answer out in a form that is easy to understand.


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.
 

#133 2012-11-10 07:19:59

anonimnystefy
Real Member

Online

Re: Expectation

No, I sum the first row. WA is the one who thinks you need the trace.


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
 

#134 2012-11-10 07:30:46

bobbym
Administrator

Online

Re: Expectation

Hi;

When I run your link, I get this result. That is clearly not the right answer.

For one thing he did not interpret the identitymatrisx command correctly. For another the inverse was not calculated...

I would do it the way I showed in post#128.

Taking a little break.


Uploaded Images
View Image: 2012-11-09_122903.gif      


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.
 

#135 2012-11-10 07:45:29

anonimnystefy
Real Member

Online

Re: Expectation

That is not the same result I am getting when I press the link.


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
 

#136 2012-11-10 08:19:46

bobbym
Administrator

Online

Re: Expectation

Supposing others get my result? Isn't my way more reliable, since we are both getting the same answer. Also, my syntax is much closer to the package's syntax.


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.
 

#137 2012-11-10 08:59:40

anonimnystefy
Real Member

Online

Re: Expectation

You just had multiplication by the vector (1,1,1,1,1,1) and I did the multiplication by hand. It is the same method.


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
 

#138 2012-11-10 09:23:12

bobbym
Administrator

Online

Re: Expectation

Hi;

I am talking about the syntax of the commands.


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.
 

#139 2012-11-11 10:07:21

anonimnystefy
Real Member

Online

Re: Expectation

New problems?


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
 

#140 2012-11-11 10:51:12

bobbym
Administrator

Online

Re: Expectation

A deck of cards are dealt out in a circle. What is the expected number of pairs of adjacent cards which are both black?


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.
 

#141 2012-11-11 10:57:08

anonimnystefy
Real Member

Online

Re: Expectation

A standard French deck?


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
 

#142 2012-11-11 11:31:46

bobbym
Administrator

Online

Re: Expectation

Hi;

It is a regular deck of playing cards.


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.
 

#143 2012-11-11 11:39:58

anonimnystefy
Real Member

Online

Re: Expectation

Okay.

What do you get as the answer for decks of 4 and 6 cards (half of which are black)?


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
 

#144 2012-11-11 11:46:15

bobbym
Administrator

Online

Re: Expectation

E(4 card deck) = 2 / 3

E(6 card deck) = 6 / 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.
 

#145 2012-11-11 11:58:07

anonimnystefy
Real Member

Online

Re: Expectation

And E(8)?


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
 

#146 2012-11-11 12:08:29

bobbym
Administrator

Online

Re: Expectation

E(8 card deck) = 12 / 7


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.
 

#147 2012-11-19 11:29:44

anonimnystefy
Real Member

Online

Re: Expectation

I haven't been able to find a solution...


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
 

#148 2012-11-19 11:31:49

bobbym
Administrator

Online

Re: Expectation

Hi;

Okay, I can give the answer if you want it.


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.
 

#149 2012-11-19 11:33:15

anonimnystefy
Real Member

Online

Re: Expectation

I'd rather get a method than an answer, but either is okay...


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
 

#150 2012-11-19 11:43:51

bobbym
Administrator

Online

Re: Expectation

Hi;

I'd rather get a method than an answer,

Hmmmm. You should already have the answer or darn close to one. Have you forgotten how we work?


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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