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Article #2696Re: No subject
From: David Karr
Date: Thu, 28 Jan 1993 20:02
Date: Thu, 28 Jan 1993 20:02
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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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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