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Article #2623

Re: Are you sure?

#2623
From: John P. Dalbec
Date: Tue, 26 Jan 1993 22:04
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The difficulty in this problem is that you can't apply Bayes' theorem without
knowing the prior probability that, if your friend has a boy and a girl, the
girl is the one that you meet.  Half of the people have been arguing that the
probability is 50% because it's equally likely that you'll meet either child.
The other half have been arguing (wrongly, I think) that the probability is
100% because you did meet the girl.  But probability is not about single
events.  Probability answers the question, "If I saw my friend with one of
her children a large number of times, about how many of those times would
the child with her be female?"  I don't think it's necessarily correct to
assume that your friend would be equally likely to meet you with her son
as with her daughter, so the 50% camp is also on shaky ground.

-- 
John Dalbec (dalbec@cs.cornell.edu) Speak for yourself--I do!
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Message-ID: <1993Jan26.220404.15995@cs.cornell.edu>
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References: <1993Jan22.131719.36@janus.arc.ab.ca> <6670016@hplsla.hp.com> <1993Jan26.204422.15093@zip.eecs.umich.edu>

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From: dalbec@cs.cornell.edu (John P. Dalbec)
Subject: Re: Are you sure?
Message-ID: <1993Jan26.220404.15995@cs.cornell.edu>
Organization: Cornell Univ. CS Dept, Ithaca NY 14853
References: <1993Jan22.131719.36@janus.arc.ab.ca> <6670016@hplsla.hp.com> <1993Jan26.204422.15093@zip.eecs.umich.edu>
Date: Tue, 26 Jan 1993 22:04:04 GMT
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