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Article #2696

Re: No subject

#2696
From: David Karr
Date: Thu, 28 Jan 1993 20:02
22 lines
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In article <93027.161640RVESTERM@vma.cc.nd.edu> <RVESTERM@vma.cc.nd.edu> writes:
>you, eduardo, and annette are prisoners, and the warden says,
>"two of you, chosen at random, are going to be executed tomorrow."
>clearly, you have a 1/3 chance of living.  at least one of annette
>and eduardo will die, so you ask the warden to tell you the name of
>a person, besides yourself, who will be executed.  "annette's gonna
>bite it," he says.
>
>now, what's the chance of your survival? it is the chance that eduardo
>will be executed, given that annette will be executed.  that is equal
>to the chance that both eduardo and annette will be executed, divided
>by the chance that annette will be executed.  that's 1/3 divided by
>2/3.  that's 1/2.
 ^^^

The 2/3 should be 1, since the warden has told you that Annette *will*
be executed.  So your odds of survival compute to 1/3.  No paradox.

The way you have set this up, it is *exactly* analogous to the Monty
Hall puzzle.

-- David Karr (karr@cs.cornell.edu)
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Message-ID: <1993Jan28.200213.16657@cs.cornell.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!mdisea!uw-coco!uw-beaver!cornell!karr
References: <1993Jan26.143630.1@skaro.demon.co.uk> <93027.161640RVESTERM@vma.cc.nd.edu>

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Newsgroups: rec.puzzles
Path: arc1-ca.pugleaf.net!sparky!uunet!mdisea!uw-coco!uw-beaver!cornell!karr
From: karr@cs.cornell.edu (David Karr)
Subject: Re: No subject
Message-ID: <1993Jan28.200213.16657@cs.cornell.edu>
Organization: Cornell Univ. CS Dept, Ithaca NY 14853
References: <1993Jan26.143630.1@skaro.demon.co.uk> <93027.161640RVESTERM@vma.cc.nd.edu>
Date: Thu, 28 Jan 1993 20:02:13 GMT
Lines: 22