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  #1  
Old 01-28-2006, 09:52 PM
The Truth The Truth is offline
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Default 3 Prisoners

There are three prisoners, you and Prisoners A and B. Two of you are to be executed, while one will be pardoned. The prison warden knows who will be executed and who will be pardoned (like monty must know where the goats and car are). According to policy, the warden is NOT allowed to tell any prisoner if he/she is to be pardoned. You point out to the warden that if he tells you if A or B will be executed, he will not be violating any rule. The warden says C is to be executed. What is the chance that you will be pardoned?


blake

p.s. forgive me if this has been posted before.
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  #2  
Old 01-28-2006, 10:00 PM
New001 New001 is offline
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Default Re: 3 Prisoners

<font color="white"> Still 1/3, isn't it? </font>
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  #3  
Old 01-28-2006, 10:01 PM
MathEconomist MathEconomist is offline
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Default Re: 3 Prisoners

This was posted in probability a couple of weeks ago. It is exactly the same as the monty hall problem, just another way of phrasing it.
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  #4  
Old 01-28-2006, 10:09 PM
ElaineMonster ElaineMonster is offline
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Default Re: 3 Prisoners

Did you make a mistake? You said me and prisoners A and B. Warden says prisoner C will be executed. Am I prisoner C? Or did you make a mistake?
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  #5  
Old 01-28-2006, 10:44 PM
The Truth The Truth is offline
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Default Re: 3 Prisoners

I copied it directly from Winki, and yeah I think it was a mistake. I didn't notice it til now. It is supposed to be one of the other guys not you [img]/images/graemlins/smile.gif[/img]

blake
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  #6  
Old 01-28-2006, 10:56 PM
ElaineMonster ElaineMonster is offline
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Default Re: 3 Prisoners

<font color="white"> I think my chances of being pardonned are 2/3 </font>
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  #7  
Old 01-28-2006, 11:44 PM
soon2bepro soon2bepro is offline
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Default Re: 3 Prisoners

your chances of being pardoned are 0%, in the cell the 3 prisoners are identified as A, B and you. Since C isn't A or B (at least if we can assume that by common sense), C is you and you're to be executed
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  #8  
Old 01-28-2006, 11:45 PM
soon2bepro soon2bepro is offline
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Default Re: 3 Prisoners

[ QUOTE ]
I copied it directly from Winki, and yeah I think it was a mistake. I didn't notice it til now. It is supposed to be one of the other guys not you [img]/images/graemlins/smile.gif[/img]

[/ QUOTE ]

in this case it's 50%. it is amazing that in this forum people are giving wrong answers to such an easy probability question
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  #9  
Old 01-28-2006, 11:51 PM
New001 New001 is offline
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Default Re: 3 Prisoners

[ QUOTE ]
[ QUOTE ]
I copied it directly from Winki, and yeah I think it was a mistake. I didn't notice it til now. It is supposed to be one of the other guys not you [img]/images/graemlins/smile.gif[/img]

[/ QUOTE ]

in this case it's 50%. it is amazing that in this forum people are giving wrong answers to such an easy probability question

[/ QUOTE ]
Wikipedia: Monty Hall problem
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  #10  
Old 01-29-2006, 12:17 AM
MathEconomist MathEconomist is offline
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Default Re: 3 Prisoners

[ QUOTE ]
[ QUOTE ]
I copied it directly from Winki, and yeah I think it was a mistake. I didn't notice it til now. It is supposed to be one of the other guys not you [img]/images/graemlins/smile.gif[/img]

[/ QUOTE ]

in this case it's 50%. it is amazing that in this forum people are giving wrong answers to such an easy probability question

[/ QUOTE ]

I really hope that's supposed to be a joke.
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