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#126 2013-12-05 02:50:36

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

Re: Probability problem.

Hi anonimnystefy,

Hi bobbym,

Okay.


"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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#127 2013-12-05 03:30:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Hi gAr

Last edited by anonimnystefy (2013-12-05 03:33:13)


“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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#128 2013-12-05 03:48:02

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

Re: Probability problem.

Hi anonimnystefy,


"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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#129 2013-12-05 04:12:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Hm, I have found one mistake and simplified the code, but now I am getting

.

Last edited by anonimnystefy (2013-12-05 04:28:24)


“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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#130 2013-12-05 04:14:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#131 2013-12-05 05:02:20

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

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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#132 2013-12-05 05:10:09

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Hi gAr

I am really starting to believe that 1) is pi-2.


“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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#133 2013-12-05 05:11:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi;

I do not think that is correct. It is too high.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#134 2013-12-05 05:16:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

It is not. It is equal to 1.141592... which is close to what I am getting with the code above.


“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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#135 2013-12-05 05:16:08

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

Re: Probability problem.

Hi anonimnystefy,

My answers have

Hi bobbym,

Yes, it is.


"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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#136 2013-12-05 05:20:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#137 2013-12-05 05:29:36

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

Re: Probability problem.

Hi bobbym,

Okay.


"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

#138 2013-12-05 05:49:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#139 2013-12-05 05:58:49

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

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."

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#140 2013-12-05 06:03:50

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Hi gAr

You were right! I got 4/pi.


“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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#141 2013-12-05 06:04:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#142 2013-12-05 06:13:23

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

Re: Probability problem.

Hi bobbym,

I'm posting a screenshot to tell what I mean.

Hi anonimnystefy,

That is still more!
The answers have 1/pi times another fraction a/b, with a and b != 1

Logging out now, see you "tomorrow".

View Image: GeoGebra.png

"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

#143 2013-12-05 06:24:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Hi guys

This is what I am doing so far:


“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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#144 2013-12-05 06:24:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;

Thanks and see you tomorrow!

Hi anonimnystefy;

You had an answer very close to that a while back.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#145 2013-12-05 06:32:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Probability problem.

Total[Table[2/Sqrt[1 + #^2] &[Tan[RandomReal[2 Pi]]], {1000000}]]/1000000

This is basically my code. It gives an answer close to 4/Pi.


“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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#146 2013-12-05 06:39:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;

Hi anonimnystefy:

If you set this problem up in geogebra where you can actually see what is occurring you will see that gAr is right.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#147 2013-12-05 20:02:03

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

Re: Probability problem.

Hi anonimnystefy,

I think you misunderstood the problem. P is a point inside the circle, and we need the average length of P to Q on the circumference.

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

#148 2013-12-05 23:43:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#149 2013-12-06 00:09:30

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

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

#150 2013-12-06 00:14:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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