--- In [email protected], Tyson Mao <[EMAIL PROTECTED]> 
wrote:
>
> In order to appease Stefan, I propose we play the game this way:
> 
> I put in $5, and you put in $4.  The combined $9 is put behind one 
of 
> the three doors (or cups, or whatever).  I'll let you choose the 
door.  
> You choose the door, someone reveals a door without the money 
(that's 
> not the door you chose).  If the $9 is behind the original door you 
> chose, you keep the money.  If it's behind the other door, I'll keep 
> the money.  We repeat this 100 times.
> 
> I'm not arguing the probabilities of this game anymore.  Here's the 
> game.  Do you want to play?  If indeed the answer is 1/2, 1/2, then 
> you'll win $50.  If you have ESP and can perceive things, then 
you'll 
> win money.  I'm prepared to part with up to $500 for this game.
> 
> Tyson Mao
> MSC #631
> California Institute of Technology


Nah, that's no good :-)

The funny thing about the version I proposed is that even though for 
the person playing the whole game it feels somewhat like the original 
game, the probabilities are reversed! In that game, keeping your door 
gets you 2/3 and switching only 1/3.

Damn, I was hoping to win easy 20 bucks from you...

Cheers!
Stefan






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