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Subject: Re: New and final solution of the Monty Hall Dilemma

Author: Peter Berger

Date: 08:03:56 09/27/02

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On September 27, 2002 at 10:43:02, Rolf Tueschen wrote:

>Hehe. I want to state that I will prevent if we have here a united flight to the
>moon tonight. I am the responsible and I will prevent such cases of despair.
>
>No, I can't accept. Formerly you had, in your example, one door with 1/1000000
>and 999999 doors with 999999/1000000. Now you open, means take away 998999
>doors, right? Then you have two doors, right? With - now - each 1/2.
>
>You know what I mean? It's not magic. The 998999 doors are away. So there is no
>talking about such incredible chances.
>
>You see where your mistake was?
>
>Good weekend
>
>Rolf Tueschen
>

Come on - what is so difficult to understand here?
Maybe 1.000.000 is too high a number and maybe cars confuse people - let's take
a cookie and 10 cups.

You know there is exactly one cookie and it is in one of the cups. You win when
you find it.

You make your first guess: cookie is in cup 1.

OK, says the Monty guy - now I take away 8 loser cups from the 9 you didn't
choose (either he knows or he is just lucky, doesn't matter at all).

Now two cups are left, cup 7 and yours.

Do you really think the probablity that your initial guess was right is 1/2 ?

Maybe this is the point that confuses people here. The Monty takes away 8 of the
9 cups, _not_ 8 of the 10 including yours.

Btw, when it is about the three doors, the car and the goats there is an easy
solution for all this discussion. Take a piece of paper and write all cases down
- shouldn't take more than 10 minutes I suppose.

Peter



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