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#201 2013-12-26 17:45:27

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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#202 2013-12-26 20:25:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.

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#203 2013-12-26 21:03:59

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

Re: Probability problem.

Yes.


"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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#204 2013-12-26 21:14:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Hi gAr;

Keep going, I am taking notes.


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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#205 2013-12-26 21:33:07

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

Re: Probability problem.

Hi,

Okay, that's all for now!


"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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#206 2013-12-26 21:40:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Okay, very good work. I got a lot of new insights just from looking at it.


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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#207 2013-12-26 22:01:05

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

Re: Probability problem.

Insight from the summation?
Those two parts were the solution to recurrences.


"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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#208 2013-12-26 22:07:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Mostly from the Markov chain. Clever use of what looks like a PIE.


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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#209 2013-12-26 22:25:29

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

Re: Probability problem.

Oh, 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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#210 2013-12-26 22:36:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Hi;

I will see you later, I need a nap.


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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#211 2013-12-26 22:50:20

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

Re: Probability problem.

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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#212 2013-12-27 02:47:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Hi gar;

Relax a bit too. Leave some of the math problems in the world for us old guys that are slow.


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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#213 2013-12-27 04:30:59

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

Re: Probability problem.

Hi bobbym,

Can't relax, there's so much to do!


"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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#214 2013-12-27 08:47:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Yes, I know. Full speed ahead!


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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#215 2013-12-31 23:01:59

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

Re: Probability problem.

New Problem:

5 numbers are randomly chosen from U(0,1).
i) What is the probability that the lowest number is greater than 3/13 ?
ii) What is the probability that the highest number is less than 9/13 ?
iii) What is the probability that the lowest number is greater than 3/13 and the highest number is less than 9/13 ?


"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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#216 2013-12-31 23:37:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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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#217 2013-12-31 23:45:12

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

Re: Probability problem.

Hi,

Answer i is right, good job!


"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

#218 2013-12-31 23:48:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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

#219 2013-12-31 23:58:07

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

Re: Probability problem.

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

#220 2014-01-01 00:02:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.

Offline

#221 2014-01-01 00:10:08

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

Re: Probability problem.

Hi,

All are correct, well done!


"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

#222 2014-01-01 00:10:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Probability problem.

Thanks gAr. Very good problems!


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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#223 2014-01-01 00:17:45

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

Re: Probability problem.

You're welcome.


iv) What's the probability that the lowest is > n1 and the highest is < n2, where 0<n1<n2<1 ?


"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

#224 2014-01-01 00:22:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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

#225 2014-01-01 00:24:25

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

Re: Probability problem.

Hi,

That's right!


"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

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