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#101 2013-03-28 22:46:18

zetafunc.
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Re: Another coin problem

Agnishom wrote:

No, we do not have GCSE in India. Atleast I don't think so.

For international students, IGCSEs are offered by the CIE and Edexcel exam boards (I think those are the only two, I could be wrong). They are designed to offer qualifications of a similar level to GCSE to students not living in England.

#102 2013-03-28 23:43:19

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
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Re: Another coin problem

ζfunc, Y U NO SIGN UP?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#103 2013-04-04 00:07:14

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
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Re: Another coin problem

NEW PROBLEM

There are 150 balls marked in a bag which are marked in a range of 1 to 150. Three random balls are taken out and laid on the table. What is the probability that the three balls are taken out in an ascending order?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#104 2013-04-04 11:51:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

Hi Agnishom;


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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#105 2013-04-04 14:14:39

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

I also got something like that


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#106 2013-04-04 19:29:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

Amazingly it is the same answer for any n.


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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#107 2013-04-04 20:33:30

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

So, how?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#108 2013-04-04 20:51:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

It uses three series to get the answer.


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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#109 2013-04-04 21:28:09

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

Re: Another coin problem

Hi,

Once we have 3 numbered balls on the table, the sample space is those 3 numbers.
Hence, the probability is 1 / 3!

May be it's more complicated if we are dealing with multisets?


"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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#110 2013-04-04 23:53:49

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

Thats a brilliant concept but what about the series?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#111 2013-04-05 00:05:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

Thats a brilliant concept

Brilliant and a lot shorter.

but what about the series?

Hmmm, the methods of experimental math never promise the shortest solution! They just promise a solution.

c = 150

To prove for any c it is always 1 / 6 as gAr's method proves.


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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#112 2013-04-05 02:15:25

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

Yikes!

Where did you get that formula from?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#113 2013-04-05 02:21:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

From programming. it is rather quite easy to visualize but difficult to explain.


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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#114 2013-04-05 02:36:25

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

I can do neither.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#115 2013-04-05 02:39:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

Like everything else it comes eventually. But you already know how to program.


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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#116 2013-04-05 02:56:08

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

Sort of...
Thats how I made that wild guess, but it doesn't help me to point out the exact

Last edited by Agnishom (2013-04-05 02:57:05)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#117 2013-04-05 03:01:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

It will take some time before anyone can solve problems well.


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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#118 2013-04-05 03:27:34

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: Another coin problem

And what should he do in that time?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#119 2013-04-05 03:38:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: Another coin problem

1) Work on problems!

2) Learn how to program well.

3) Learn and use a CAS.

4) Learn an interactive geometry program.


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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