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## #201 2013-12-27 16:45:27

gAr
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### 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."

## #202 2013-12-27 19:25:22

bobbym

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### Re: Probability problem.

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.

## #203 2013-12-27 20:03:59

gAr
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### 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."

## #204 2013-12-27 20:14:21

bobbym

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### Re: Probability problem.

Hi gAr;

Keep going, I am taking notes.

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.

## #205 2013-12-27 20:33:07

gAr
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### 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."

## #206 2013-12-27 20:40:57

bobbym

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### 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.
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.

## #207 2013-12-27 21:01:05

gAr
Star Member

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### 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."

## #208 2013-12-27 21:07:55

bobbym

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### 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.
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.

## #209 2013-12-27 21:25:29

gAr
Star Member

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### 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."

## #210 2013-12-27 21:36:40

bobbym

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### 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.
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.

## #211 2013-12-27 21:50:20

gAr
Star Member

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### 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."

## #212 2013-12-28 01:47:33

bobbym

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### 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.
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.

## #213 2013-12-28 03:30:59

gAr
Star Member

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### 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."

## #214 2013-12-28 07:47:35

bobbym

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### Re: Probability problem.

Yes, I know. Full speed ahead!

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.

## #215 2014-01-01 22:01:59

gAr
Star Member

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### 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."

## #216 2014-01-01 22:37:28

bobbym

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### Re: Probability problem.

Hi gAr;

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.

## #217 2014-01-01 22:45:12

gAr
Star Member

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### 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."

## #218 2014-01-01 22:48:50

bobbym

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### Re: Probability problem.

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.

## #219 2014-01-01 22:58:07

gAr
Star Member

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### 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."

## #220 2014-01-01 23:02:41

bobbym

Offline

### Re: Probability problem.

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.

## #221 2014-01-01 23:10:08

gAr
Star Member

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### 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."

## #222 2014-01-01 23:10:47

bobbym

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### Re: Probability problem.

Thanks gAr. Very good problems!

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.

## #223 2014-01-01 23:17:45

gAr
Star Member

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### 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."

## #224 2014-01-01 23:22:38

bobbym

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### Re: Probability problem.

Hi gAr;

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.

## #225 2014-01-01 23:24:25

gAr
Star Member

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### 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."