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Article #541

Re: Let's Make a Deal!

#541
From: Charles Packer
Date: Mon, 28 Sep 1992 10:38
18 lines
1323 bytes
Wait a minute, I thought I understood this a few months
ago when it was discussed here. But now I write down what
I understand to be the sample space and it says: don't
bother to switch, it's a fair game:

Assume for simplification that the prize is always behind door A.
Probabiliy of each outcome is listed:
I choose A, host chooses B, I stay with A 1/12 win
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
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
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

Add the "win" probabilities together, and they come out
to .5. I must have forgotten something...
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Message-ID: <28SEP199206381627@amarna.gsfc.nasa.gov>
Path: arc1-ca.pugleaf.net!sparky!uunet!sun-barr!ames!nsisrv!amarna.gsfc.nasa.gov!packer
References: <1992Sep24.235808.16425@leland.Stanford.EDU>

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Path: arc1-ca.pugleaf.net!sparky!uunet!sun-barr!ames!nsisrv!amarna.gsfc.nasa.gov!packer
From: packer@amarna.gsfc.nasa.gov (Charles Packer)
Subject: Re: Let's Make a Deal!
Message-ID: <28SEP199206381627@amarna.gsfc.nasa.gov>
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Date: Mon, 28 Sep 1992 10:38:00 GMT
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