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Article #1024

Re: Shell Game (Dixie cups work too)

#1024
From: Cam "You didn't see me!" Mayor
Date: Thu, 17 Dec 1992 22:18
32 lines
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In article 19071@dbsun.uucp, check@dbsun.uucp (checkett) writes:
>Subject: Shell Game (Dixie cups work too)
>
>Here's a slick little brain teaser I ran across.   Don't let the title
>bother you, there's no slight-of-hand involved, just straight logic.
>
>Description of game:
>The game is played by two people, a dealer, and a player.
>The game uses three upside-down cups and one quarter.
>The player attempts to guess which cup conceals the quarter.
>
>Action:
>The dealer secretly places the quarter under one of the three cups.
>The player is asked to point to the cup of his choice.
>After the player makes his choice, the dealer removes one of the empty cups.
>Two upside-down cups remain, the one the player picked, and a second cup.
>One of which hides the quarter.
>The player is given the option to switch to the second cup or stay with 
>his original selection.
>
>Here's the questions:
>Should the player switch to the other cup or stay pat?
>What are the odds?
>

This is an oldie, but a good one.  Statistically, you will reap a better chance
if you SWITCH your choice.  If you switch, you have a 66.7% chance of winning.
If not, you only have 33.3% chance.  

Now watch the violent flames ensue! ;0

cam, who has done an in-depth study of this problem.
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References: <1992Dec11.204515.19071@dbsun.uucp>

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Path: arc1-ca.pugleaf.net!sparky!uunet!newsflash.concordia.ca!mizar.cc.umanitoba.ca!ic14!mayor
From: mayor@ee.umanitoba.ca (Cam "You didn't see me!" Mayor)
Subject: Re: Shell Game (Dixie cups work too)
Message-ID: <BzFCM6.K8F@ccu.umanitoba.ca>
Sender: news@ccu.umanitoba.ca
Nntp-Posting-Host: ic14.ee.umanitoba.ca
Reply-To: mayor@ee.umanitoba.ca
Organization: Elect & Comp Engineering, U of Manitoba, Winnipeg, Manitoba,Canada
References: <1992Dec11.204515.19071@dbsun.uucp>
Date: Thu, 17 Dec 1992 22:18:05 GMT
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