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#176 2012-11-25 01:10:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

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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#177 2013-03-18 21:01:00

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

bobbym wrote:

Hmmmm.

You have 4 boxes. You can toss balls one at a time to the boxes until any one of them has 3 balls in it, and then you stop.
The tosses are independent, and each bin is equally likely to be hit. It's impossible to not make it in a bin on any given toss.
What is the expected number of tosses so that 1 bin has 3 balls in it?

See you in a bit.


“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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#178 2013-03-18 21:17:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

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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#179 2013-03-18 21:20:36

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

I'm not sure what you mean...


“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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#180 2013-03-18 21:29:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

Hmmmm, number 10 in the dice.pdf. Does that mean anything to you?


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

#181 2013-03-18 21:56:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

Yes, I know the problem. But I am not sure I understand what you are trying to say...


“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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#182 2013-03-18 21:57:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

I posed that to Matt for that very reason!


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

#183 2013-03-18 22:20:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

What reason?


“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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#184 2013-03-18 22:21:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

I gave him that problem because I needed an answer to the very problem you just solved.


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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#185 2013-03-18 22:38:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

Uh-huh! How did you solve that 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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#186 2013-03-18 22:46:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

I just counted them. But now I would try to use your idea from the problem #10.


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

#187 2013-03-18 22:49:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

I already got it working for more bins.


“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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#188 2013-03-18 23:00:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

I know that.

I have been waiting for you Obi Wan...


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

#189 2013-03-19 04:29:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

...


“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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#190 2013-03-19 07:10:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

Hmmm. Thee dots...


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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#191 2013-03-19 07:15:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

bobbym wrote:

I know that.

I have been waiting for you Obi Wan...

I am not sure what you meant by this.


“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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#192 2013-03-19 07:18:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

It means I have been waiting for you to solve this problem. His solution to #10 gave no insight into how to do it other than what I already knew.


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

#193 2013-03-19 08:31:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

That is great. If only we had a better form for that...


“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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#194 2013-03-19 08:41:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

You mean a form that would make math types happy?

It already is in a nice form for a CAS. Allows us to compute some big numbers.


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

#195 2013-03-19 08:42:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

I'm not sure how large it can go...


“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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#196 2013-03-19 08:44:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

I have not looked at it for very large ones but it is doing much larger ones than was possible before.


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

#197 2013-03-19 10:48:25

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

Well, it is certainly better than his method!


“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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#198 2013-03-19 13:23:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

Yes, his method is kind of clumsy and brute force like.


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

#199 2013-03-20 00:36:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: Expectation

Yes. I like mine better.


“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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#200 2013-03-20 01:01:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: Expectation

Well, how does it feel to come up with a solution like that?


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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