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#1776 2013-06-12 00:34:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

New problem:

B is walking along the street in Vegas and runs into "Mad Archil."
He tries to avoid him but Archil is faster and catches up. "Hi, living legend, care to make a wager?" Now everyone knows about Mad Archil.
The guy is capable of winning or losing millions of dollars but mostly losing them. His last escapade resulted in him beating a large casino out of 40 million! B knows that Archil is a horrible gambler but also knows that he can not cover the bets Mad Archil likes to make. Mad Archil assures him that he is almost broke and has only 100 dollars in his pocket. He says let's flip a coin. If it is heads then you pay me 1 / 2 of what I have in my pocket, if not I pay you half.
B immediately accepts the wager and they play. Mad Archil keeps the score of the coin tosses and amazingly by the 70th throw of the coin, Mad Archil is totally wiped out. He accuses B of using a loaded coin until he notices that there were exactly 35 heads and 35 tails! He stares in disbelief as B walks away with the dough.

A says) Hard to believe the story is true. 35 heads and 35 tails should have made it an even bet. I do not see how he lost all his money. B is obviously lying.

B says) Nope, that is what happened.

C says) Clearly a 50 - 50 proposition. Sadly B, you wasted your time.

D says) Yep, A is right. No advantage either way.

E says) What do you have in your pocket A? Care to make me the same wager Archil did?

The question is did B make a good bet?


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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#1777 2013-06-12 00:46:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Is this cool with you?

Wait, so, do they give 50 dollars each time or ...?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1778 2013-06-12 00:56:43

ElainaVW
Member
Registered: 2013-04-29
Posts: 291

Re: Is this cool with you?

Hi M;

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#1779 2013-06-12 00:59:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

Hi anonimnystefy;

No, half of what is left in his pocket. If he loses the first bet he loses 50. If he now loses the second toss he loses 25. Or he wins the first toss, he now has 150, he loses the second toss he now has 75.

Hi ElainaVW;

The correct phrase is RIPOSTP! But you are at least correct with the reference. I see you now have that book?


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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#1780 2013-06-12 01:17:40

ElainaVW
Member
Registered: 2013-04-29
Posts: 291

Re: Is this cool with you?

I see you now have that book?

Your brother was kind enough to loan me your copy. Interesting comments in the glossings?

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#1781 2013-06-12 01:47:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Is this cool with you?

What happens if he has an odd number of dollars in his pocket?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1782 2013-06-12 01:52:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

He wins half of it or loses half of it. The arithmetic was done after each toss using a TI - 92. at the end they decided on the rounding.

Your brother was kind enough to loan me your copy.

Yes! That was kind of him.


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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#1783 2013-06-12 02:27:06

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,242
Website

Re: Is this cool with you?


'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'
'Humanity is still kept intact. It remains within.' -Alokananda

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#1784 2013-06-12 02:30:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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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#1785 2013-06-12 02:34:17

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,242
Website

Re: Is this cool with you?

Do you have a proof or 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'
'Humanity is still kept intact. It remains within.' -Alokananda

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#1786 2013-06-12 02:37:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?


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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#1787 2013-06-12 03:45:11

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,242
Website

Re: Is this cool with you?

Is Gardner related to Lewis Carrol?


'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'
'Humanity is still kept intact. It remains within.' -Alokananda

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#1788 2013-06-12 03:53:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

I never heard that. I tend to doubt 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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#1789 2013-06-12 16:30:56

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?

Last edited by phrontister (2013-06-12 21:34:25)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1790 2013-06-12 21:13:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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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#1791 2013-06-12 21:39:30

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?

Hi Bobby,


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1792 2013-06-12 22:10:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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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#1793 2013-06-13 00:18:33

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?

Hi Bobby,


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1794 2013-06-13 00:20:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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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#1795 2013-06-13 00:49:40

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?

Aah yes...didn't think of looking at it that way. Thanks. smile


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1796 2013-06-13 00:52:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

Hi;

Thanks for looking at the 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.

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#1797 2013-06-13 01:23:20

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1798 2013-06-13 01:31:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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

#1799 2013-06-13 02:10:45

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,844

Re: Is this cool with you?

Hi Bobby,


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#1800 2013-06-13 02:13:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,315

Re: Is this cool with you?

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

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