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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Hi gAr;

Keep going, I am taking notes.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Yes, I know. Full speed ahead!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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."

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Thanks gAr. Very good problems!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Probability problem.

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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."

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