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

Author: Uri Blass

Date: 08:24:13 09/27/02

Go up one level in this thread


On September 27, 2002 at 11:18:44, Peter Berger wrote:

>On September 27, 2002 at 11:10:52, Uri Blass wrote:
>
>>On September 27, 2002 at 11:03:56, Peter Berger wrote:
>>
>>>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).
>>
>>It is important
>>suppose for the discussion that he does not know and take cups 3-10
>>
>>There are 10 cases with probability of 1/10 for the place of the winner cup.
>>
>>In 8 out of 10 cases there is no game(because the winner cup is not in 1 or 2.
>>
>>In 2 out of 10 cases he really take 8 loser cups.
>>In 1 of these 2 cases the cup is in 1 and in the second case the cup is in 2
>>
>>The 2 cases have the same probability so the probability is 1/2.
>>
>>Hope my explanation is clear.
>>
>>Uri
>>
>
>Yes, it is. But this is not the game that is being played - it's all about the
>Monty taking away 8 cups and never failing to find the losers which is the basic
>Monty setup :).

If he never failing to find the losers then he knows and is not just lucky.

Uri



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