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Article #555

Re: Let's Make a Deal!

#555
From: Charles Packer
Date: Mon, 28 Sep 1992 19:07
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1477 bytes
In article <28SEP199206381627@amarna.gsfc.nasa.gov>, packer@amarna.gsfc.nasa.gov (Charles Packer) writes...
>Wait a minute, I thought I understood this a few months


As pointed out to me by e-mail, I merely enumerated
the situations where I would win. I restate the
sample space to indicate where I would win by switching
vs win by staying...

I choose A, host chooses B, I stay with A 1/12 win by staying
I choose A, host chooses B, I switch to C 1/12
I choose A, host chooses C, I stay with A 1/12 win by staying
I choose A, host chooses C, I switch to B 1/12
I choose B, host chooses C, I stay with B 1/6
I choose B, host chooses C, I switch to A 1/6  win by switching
I choose C, host chooses B, I stay with C 1/6
I choose C, host chooses B, I switch to A 1.6  win by switching

Clearly, now, the probability of winning by switching is
twice that of winning by staying.
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Message-ID: <28SEP199215070608@amarna.gsfc.nasa.gov>
Path: arc1-ca.pugleaf.net!sparky!uunet!noc.near.net!hri.com!spool.mu.edu!yale.edu!think.com!ames!nsisrv!amarna.gsfc.nasa.gov!packer
References: <1992Sep24.235808.16425@leland.Stanford.EDU> <28SEP199206381627@amarna.gsfc.nasa.gov>

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Path: arc1-ca.pugleaf.net!sparky!uunet!noc.near.net!hri.com!spool.mu.edu!yale.edu!think.com!ames!nsisrv!amarna.gsfc.nasa.gov!packer
From: packer@amarna.gsfc.nasa.gov (Charles Packer)
Newsgroups: sci.math.stat
Subject: Re: Let's Make a Deal!
Message-ID: <28SEP199215070608@amarna.gsfc.nasa.gov>
Date: 28 Sep 92 19:07:00 GMT
References: <1992Sep24.235808.16425@leland.Stanford.EDU> <28SEP199206381627@amarna.gsfc.nasa.gov>
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