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Article #943Re: More Monty Hall
From: Patrick Juola
Date: Mon, 21 Dec 1992 23:02
Date: Mon, 21 Dec 1992 23:02
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In article <1992Dec21.214559.22343@berlioz.nsc.com> worden@bouncer.nsc.com (Dennis Worden) writes: > > >Now reword the situation a little: >After Monty opens the door with the goat behind it, he then asks you to >choose between the remaining two doors, one with the prize, and the other >with the goat. You have a 50% chance of picking the correct one (remember, >the third door does not exist in the wording). You have a 50% chance >of picking the correct door here. You have the same information as before, >the only change is that instead of asking you to "switch", you are asked >to "pick from start". Either way, you have two doors in front of you, >and one prize. Doesn't follow. It's still "new" information, and you still have a 67% chance of winning if you pick the door that you didn't pick at first. >Monty hasn't given you new information, he has given you a new >question. At the point where he asks you if you want to switch, the fact >that you had a 33% chance previously doesn't affect you new decision; two >doors, one prize. The fact that the door which used to be closed is now known to be a loser is new information. Specifically, if I guessed a goat (probability 2/3), then he's now shown me where the winner is. - kitten
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Newsgroups: alt.folklore.science Path: arc1-ca.pugleaf.net!sparky!uunet!think.com!spool.mu.edu!agate!boulder!news From: juola@bruno.cs.colorado.edu (Patrick Juola) Subject: Re: More Monty Hall Message-ID: <1992Dec21.230241.19209@colorado.edu> Sender: news@colorado.edu (The Daily Planet) Nntp-Posting-Host: bruno.cs.colorado.edu Organization: University of Colorado, Boulder References: <1992Dec18.165746.10294@cbfsb.cb.att.com> <1h4fbgINN5c5@nz12.rz.uni-karlsruhe.de> <1992Dec21.214559.22343@berlioz.nsc.com> Distribution: usa Date: Mon, 21 Dec 1992 23:02:41 GMT Lines: 28