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Article #2568

Re: Are you sure?

#2568
From: Barry Gunn
Date: Tue, 26 Jan 1993 15:47
15 lines
1319 bytes
>>You meet the daughter of a friend of yours on the street.  You know that your
>>friend has two children.  You think to yourself, "Ignoring the occurrence of
>>twins, and sex-linked differences in birth rates and infant mortality, what
>are
>>the odds of this girl's sibling also being a girl?"
>>-----------------+-------------------------------
>Two child families are uniformly distributed between MM,MF,FF,FM, in birth
>order.  Again, all four possibilities are equally likely.  Stop here.  Make
>sure you believe that.
>
>Now, since at least one is F, the MM drops out, leaving MF, FF, FM, so that
>there is only a one third chance that the sibling is a girl.

But you meet the F on the street. So MF and FM are the same in this case
(but not the way the problem is usually stated). I say 50%.
Technical Details
Message-ID: <6670016@hplsla.hp.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!Germany.EU.net!news.netmbx.de!mailgzrz.TU-Berlin.DE!math.fu-berlin.de!ira.uka.de!yale.edu!qt.cs.utexas.edu!cs.utexas.edu!usc!sdd.hp.com!hpscit.sc.hp.com!cupnews0.cup.hp.com!news1.boi.hp.com!hp-pcd!hplsla!barryg
References: <1993Jan22.131719.36@janus.arc.ab.ca>

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Complete Article Headers
From: barryg@hplsla.hp.com (Barry Gunn)
Date: Tue, 26 Jan 1993 15:47:30 GMT
Subject: Re: Are you sure?
Message-ID: <6670016@hplsla.hp.com>
Organization: HP Lake Stevens, WA
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!Germany.EU.net!news.netmbx.de!mailgzrz.TU-Berlin.DE!math.fu-berlin.de!ira.uka.de!yale.edu!qt.cs.utexas.edu!cs.utexas.edu!usc!sdd.hp.com!hpscit.sc.hp.com!cupnews0.cup.hp.com!news1.boi.hp.com!hp-pcd!hplsla!barryg
Newsgroups: rec.puzzles
References: <1993Jan22.131719.36@janus.arc.ab.ca>
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