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Article #1100

Re: More Monty Hall

#1100
From: Carl J Lydick
Date: Thu, 24 Dec 1992 19:27
35 lines
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In article <1992Dec22.185741.9823@berlioz.nsc.com>, worden@bouncer.nsc.com (Dennis Worden) writes:
>The fact that you now have an open door with a goat behind it does not
>change the fact that you have 2 door and 1 prize.

That's true.  However, the fact that there are two doors and one prize doesn't
mean there's a 50% chance of either door holding the prize.  Your argument
can be extended as follows:
	Tomorrow morning, either the sun will rise, or it won't.

	There are two possible outcomes.

	Therefore, there's a 50% chance the sun won't rise tomorrow.

>The opening of the
>third door only tells you that the prize is not behind that door, it does
>not add any information as to where the prize really is.  Or put it another
>way, if you consider this new information on the same puzzle, why do you
>freeze the probability of the original guess at 33%?  To freeze the original
>probabilities at their "pre-new-information" levels means that your are not
>using that new information.  The new information would apply equally to all
>doors that are left,

No, it doesn't.  Because if the other unopened door held a goat, Monty COULD'VE
opened it.  But whether the door you originally picked holds a goat or not,
Monty CANNOT open that one.  You're trying to treat an asymmetric situation as
if it's symmetric.  The fact that you chose a door before Monty opened one
destroyed the symmetry that's fundamental to your argument.
--------------------------------------------------------------------------------
Carl J Lydick | INTERnet: CARL@SOL1.GPS.CALTECH.EDU | NSI/HEPnet: SOL1::CARL

Disclaimer:  Hey, I understand VAXen and VMS.  That's what I get paid for.  My
understanding of astronomy is purely at the amateur level (or below).  So
unless what I'm saying is directly related to VAX/VMS, don't hold me or my
organization responsible for it.  If it IS related to VAX/VMS, you can try to
hold me responsible for it, but my organization had nothing to do with it.
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References: <1992Dec18.165746.10294@cbfsb.cb.att.com> <1h4fbgINN5c5@nz12.rz.uni-karlsruhe.de> <1992Dec21.214559.22343@berlioz.nsc.com> <1992Dec21.230241.19209@colorado.edu>,<1992Dec22.185741.9823@berlioz.nsc.com>

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Path: arc1-ca.pugleaf.net!sparky!uunet!news.claremont.edu!nntp-server.caltech.edu!SOL1.GPS.CALTECH.EDU!CARL
From: carl@SOL1.GPS.CALTECH.EDU (Carl J Lydick)
Newsgroups: alt.folklore.science
Subject: Re: More Monty Hall
Date: 24 Dec 1992 19:27:15 GMT
Organization: HST Wide Field/Planetary Camera
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Distribution: world
Message-ID: <1hd2ujINNnci@gap.caltech.edu>
References: <1992Dec18.165746.10294@cbfsb.cb.att.com> <1h4fbgINN5c5@nz12.rz.uni-karlsruhe.de> <1992Dec21.214559.22343@berlioz.nsc.com> <1992Dec21.230241.19209@colorado.edu>,<1992Dec22.185741.9823@berlioz.nsc.com>
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