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#2126 2013-02-15 23:55:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Hi;


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#2127 2013-02-16 00:17:20

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?


"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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#2128 2013-02-16 00:26:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Hi;

Last edited by bobbym (2013-02-16 00:35:09)


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#2129 2013-02-16 00:31:28

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?

That's an awesome formula!
I'll take  a break, see you later...


"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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#2130 2013-02-16 00:34:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Hi;

Okay and thanks for coming in. Have you seen Conroy's new dice problems?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2131 2013-02-16 00:54:27

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?


“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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#2132 2013-02-16 01:33:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Hi;

Yes, I was telling gAr about it. We download and study those.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2133 2013-02-16 01:34:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

Okay, I will read your discussion.


“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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#2134 2013-02-16 01:35:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Which one will you read?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2135 2013-02-16 01:45:09

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?

Hi bobbym,

I downloaded that, but did not go through yet.
Any problem particularly interesting?


"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

#2136 2013-02-16 01:46:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

There is one that is dynamite. It is mine! Look at #10.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2137 2013-02-16 01:52:33

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?

Hi,

Ah, yes, that looks terrific!
Did you try for a face showing up more than twice?


"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

#2138 2013-02-16 01:54:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Yes, that is my problem. Three times a face must show.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2139 2013-02-16 01:58:38

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?

Solved using markov chains?


"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

#2140 2013-02-16 02:00:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Yes, a 730 x 730 matrix. But I did not solve it, I just proposed it to him. He solved it and emailed me that he would add it to the pdf.

Last edited by bobbym (2013-02-16 02:06:11)


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2141 2013-02-16 02:07:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

It reminds me of your urn 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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#2142 2013-02-16 02:08:26

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: What do you think?

Oh, you meant that you proposed the problem, I thought it was yours to solve!
I'll give it a try as well.


"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

#2143 2013-02-16 02:09:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Hi gAr and anonimnystefy;

Correct!

I proposed a bigger version of the urn problem to him so that he would work on it for the pdf. Ours is just as tough but can not be phrased as a dice problem.

Last edited by bobbym (2013-02-16 02:28:53)


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2144 2013-02-16 03:51:39

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

I think I have found a connection of that problem with this sequence.


“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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#2145 2013-02-16 03:56:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

I am not following what you mean.

First, which problem?

Last edited by bobbym (2013-02-16 03:57:12)


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2146 2013-02-16 04:02:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

10th problem from that pdf. The probability that the ith dice will be a third of a number is Binomial[i-1,2]/6^(i-1) *the (i-2)th number of the 6th row of the first triangles in the examples.


“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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#2147 2013-02-16 04:04:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

Is it the first third of a number?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2148 2013-02-16 04:07:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

Third?


“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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#2149 2013-02-16 04:09:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,494

Re: What do you think?

That table is giving the probability of the the ith ball being a third one in a box. But is it the first ball to be the third one in any box or could there be others?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#2150 2013-02-16 04:15:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: What do you think?

The table doesn't give the probability. To get the probability you need to multiply by Binomial[i-1,2]/6^(i-1)

It is the probability that the number on the ith dice is the first one to appear 3 time.


“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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