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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,658

Hi bobbym

I am getting 15.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi;

The correct answer is about 4.3

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**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Are you talking about

or ?*Last edited by anonimnystefy (2012-07-13 04:21:47)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi;

For the first the answer is 4.37

For the second the answer is 1.94

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

How did you get that?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,674

One is the solution in the thread and the other is to gAr's problem in that thread.

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What is your solution for 5 dice?

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**bobbym****Administrator**- From: Bumpkinland
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Which series are we going to discuss from now on?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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anonimnystefy wrote:

Are you talking about

or ?

What do you get as the answer for these two for 5 dice throws.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi;

4.31 and 1.94. These are simulation answers.

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**anonimnystefy****Real Member**- From: The Foundation
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Wouldn't you expect to get a greater answer for the second one than for the first one?

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**bobbym****Administrator**- From: Bumpkinland
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No, the second one is pairwise the first is the whole list minus the second list. I expect the first one to be larger.

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**anonimnystefy****Real Member**- From: The Foundation
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But if you look at both pairwise, the first one can both increase and decrease, but the second one can only increase, so I would expect the second one to be greater.

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**bobbym****Administrator**- From: Bumpkinland
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The pairwise one can never be greater than 5. The other? Who knows!

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What about

(1,6)

(1,6)

(1,6)

(1,6)

(1,6)

The sum is 30!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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That is why I did not want to discuss two sums. That sum does not exist so why are we talking about it?

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**anonimnystefy****Real Member**- From: The Foundation
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Which sum?

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**bobbym****Administrator**- From: Bumpkinland
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The pairwise sum. That one comes from the problem. It is an average value. It is <=5.

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**anonimnystefy****Real Member**- From: The Foundation
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There is no reason for it to be <=5. Only the summands are <=5.

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**bobbym****Administrator**- From: Bumpkinland
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6 - 1 = 5. That is the biggest difference. If you add up a ton of numbers that are 5 or less their average will be 5 or less.

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**anonimnystefy****Real Member**- From: The Foundation
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But we don't take the average of the differences!

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**bobbym****Administrator**- From: Bumpkinland
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Yes we do. The original problem was an average. gAr and I agreed on that. The series you came up with here is something else. It has nothing to do with either problem. Why discuss it all?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

Anyway, my GF needs only slight modification to solve gAr's problem.

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**bobbym****Administrator**- From: Bumpkinland
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Hmmm. Which problem?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What did you get 4.31 for?

*Last edited by anonimnystefy (2012-07-13 09:11:26)*

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