Article View: rec.puzzles
Article #2623Re: Are you sure?
From: John P. Dalbec
Date: Tue, 26 Jan 1993 22:04
Date: Tue, 26 Jan 1993 22:04
14 lines
1407 bytes
1407 bytes
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!
Technical Details
Message-ID:
<1993Jan26.220404.15995@cs.cornell.edu>Path:
arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!ames!agate!spool.mu.edu!howland.reston.ans.net!usc!rpi!batcomputer!cornell!dalbecReferences:
<1993Jan22.131719.36@janus.arc.ab.ca> <6670016@hplsla.hp.com> <1993Jan26.204422.15093@zip.eecs.umich.edu>Show Full Headers
Complete Article Headers
Newsgroups: rec.puzzles Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!ames!agate!spool.mu.edu!howland.reston.ans.net!usc!rpi!batcomputer!cornell!dalbec 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 Lines: 14