Thats a hilarious idea. Go Tyson! I just wish I could be there. I have a 
certain tactic I'm sure works, unless you pull the Lindsey Lohan card 
mentioned by Marco.

/Gustav

Tyson Mao skrev:

>I'm going to set up this game, but instead of a car as a prize, as I'm 
>obviously not that wealthy, I'll give away free cubes.  We'll do this 
>in San Francisco during the break and we'll just call up random members 
>of the audience who are there spectating the competition.  If I have 
>enough cubes, I'll do it 10 times.
>
>Tyson Mao
>MSC #631
>California Institute of Technology
>
>On Dec 28, 2005, at 12:46 PM, Rune Wesström wrote:
>
>  
>
>>"Good thinking Stefan!" ? He is contradicting himself when saying: 
>>"you can gain some knowledge this way and be more sure that changing 
>>would be better...but... the probability stays at 2/3". But if we had 
>>a probability of 2/3 whithout this knowledge and then bettered it, how 
>>can we still stay at 2/3?  He is discussing the a priori probabilities 
>>before the first choise, *I* am discussing the probabilities before 
>>the second choice, that is, when the host has opened one door. There 
>>is some concensus here that the probabilities are 1/3 or 2/3. But if 
>>we accept the theoretical assumtion (Pochmann apparently does) that 
>>the host has an "easy" door and a "difficult" door and he chooses the 
>>first with a probability of 1/2 + epsilon and the second with a 
>>probability 1/2 - epsilon (epsilon not 0), the result will be another.
>>Ask mister Pochmann to calculate the probabilities for you. Mister 
>>Bayes may help him.
>>R
>>----- Original Message -----
>>From: "pjgat09" <[EMAIL PROTECTED]>
>>To: <[email protected]>
>>Sent: Wednesday, December 28, 2005 5:41 PM
>>Subject: [Speed cubing group] Re: (Off topic)3 doors...
>>
>>
>>Thats the best way I have heard it put for this entire dicussion. Good
>>thinking Stefan!
>>
>>Peter Greenwood
>>
>>--- In [email protected], "Stefan Pochmann"
>><[EMAIL PROTECTED]> wrote:
>>    
>>
>>>This doesn't make the argument wrong. Yes, you can gain some knowledge
>>>this way and be more sure that changing would be better. But it
>>>doesn't make you win more often when changing. The probability for
>>>that stays at 2/3.
>>>
>>>I knew a similar case as yours, but here's a really extreme one: After
>>>you pick your first door, the host opens *all* three doors and let's
>>>you stay or change. Even with this 100% knowledge (because you see the
>>>car), changing is successful exactly 2/3 of the time, namely in those
>>>cases where you were initially wrong.
>>>
>>>Cheers!
>>>Stefan
>>>
>>>
>>>--- In [email protected], Rune Wesström <rune.
>>>[EMAIL PROTECTED]> wrote:
>>>      
>>>
>>>>A lot of  intuition!
>>>>You guess on door #1. The host is staying in front of door #3. Door
>>>>        
>>>>
>>>#2 is 2 meters away from him, nevertheless he opens that door. What
>>>would you expect to find behind door #3? A goat?! (Let us exclude
>>>double-crossing!).
>>>      
>>>
>>>>----- Original Message -----
>>>>From: "Stefan Pochmann" <[EMAIL PROTECTED]>
>>>>To: <[email protected]>
>>>>Sent: Wednesday, December 28, 2005 3:47 PM
>>>>Subject: [Speed cubing group] Re: (Off topic)3 doors...
>>>>
>>>>
>>>>Changing wins if and only if you initially chose the wrong door, i.
>>>>        
>>>>
>>>e.
>>>      
>>>
>>>>two times of three.
>>>>
>>>>Can you explain why your suggestion makes this wrong?
>>>>
>>>>Cheers!
>>>>Stefan
>>>>
>>>> --- In [email protected], Rune Wesström <rune.
>>>>[EMAIL PROTECTED]> wrote:
>>>>        
>>>>
>>>>>In real life the host is Not staying totally symmetrically in
>>>>>          
>>>>>
>>>>relation to the doors. (He is right-handed Or left-handed. Maybe he
>>>>has to take a halfstep to open a certain door etc.). If he now opens
>>>>the "easiest" door, Not changing wins more often than one time of
>>>>three. If he opens the other door, changing will win more often than
>>>>two times of three.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>Yahoo! Groups Links
>>>>
>>>>        
>>>>
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