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

Author: Sune Fischer

Date: 15:14:03 09/26/02

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On September 26, 2002 at 18:00:12, Uri Blass wrote:

>On September 26, 2002 at 17:06:21, Sune Fischer wrote:
>
>>On September 26, 2002 at 16:42:37, Uri Blass wrote:
>>
>>>On September 26, 2002 at 16:14:46, Sune Fischer wrote:
>>>
>>>>On September 26, 2002 at 15:30:42, Rolf Tueschen wrote:
>>>>>
>>>>>You are wrong because we had only one question. Was Marilyn right for the exact
>>>>>text of the question. I said no, because the question did not make clear that
>>>>>the host must _always_ open a door.
>>>>
>>>>What question are you refering too, not this one surely:
>>>>"Suppose you're on a game show, and you're given a choice of three doors. Behind
>>>>one door is a car; behind the others, goats. You pick a door-;say No. 1-;and the
>>>>host, who knows what's behind the doors, opens another door-;say No. 3-;which
>>>>has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your
>>>>advantage to switch your choice? "
>>>>
>>>>Not only does it say he opens a door, it also says he knows what is behind the
>>>>doors, and that he will open one with a goat, clearly he is all-knowing.
>>>
>>>The question says that the host knows.
>>>The question does not say that he always must open a door.
>>
>>Yes it does:
>>"the host, who knows what's behind the doors, opens another door-;say No. 3-;"
>
>This is only explanation of what happened.
>The only information that is clear from the question is:
>1)you play on a game when you choose a door.
>2)The host knows what is behind the doors.
>3)The host opened a door that is the wrong door.
>
>This information is not enough to decide if you should switch doors.
>
>It is possible to understand that the host has to open a wrong door but it is
>not clear from the question.
>
>The question only says:
>"host, who knows what's behind the doors, opens another door-;say No. 3-;which
>has a goat"
>
>If his strategy is always to open a door is not clear from the question and the
>only information that we know for sure is that he opened a door.

Yes you can, what is being described to you is an algorithm of how the show will
proceed/the rules of the game:

1)you play on a game where you choose a door.
2)The host knows what is behind the doors.
3)The host will open a door that hides a goat.
4)You now have to decide if you want to switch doors.

>The question did not use past tense but present tense so it makes the impression
>that the host always opens a door so I cannot say that merilyn was wrong but it
>is not clear from the question so I cannot say that people who say that data is
>missing are wrong.

I don't see anything unclear about the question at all, he opens a door for
sure, and more than that, he opens a door with a goat behind it, he can do this
because he knows what the doors hide, there is no need for past tense, this guy
can see into the future!

-S.
>Uri



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