Re: messed up posts

From: Bilge (dubious_at_radioactivex.lebesque-al.net)
Date: 02/08/05


Date: Tue, 08 Feb 2005 22:58:37 GMT


 beda pietanza:
>I sent the previous post with google: it appeared messed up
>I removed it, from home using outlook express the message is still
>there and it is not messed up.
>With google it doesn't show up, I really don't have idea what is going on.
>I only want to make sure the message get to you correctly.
>So I copy it below:
>
>:::::::::::::::::::::::::::::::::::::::
> Bilge wrote:
>> beda pietanza:
>>
>> I can't read that mess you posted. Post in plain ascii without
>> mime encoding.
>
>I don't know what happen sometimes to the post, I wrote it ordinately
>and it comes out in a mess. What you mean by "post plain ascii without
>mime encoding??
>
>Anyways the post is not a big loss for I realized that the content was
>wrong.
>
>I was saying that the SPP was a fake because in the formula of the
>Expectation value there was not the sum paid for playing, I came out of
>this error reducing the intire game to only one possible outcome: (i.e.
>at the 10° toss I bet it will be head) and realized that the correct
>sum to play for that is given by:
>1/2^n * 2^(n-1)=.5 and therefore imagining that all the possible bets
>are covered paying them one by one, the total adds up to the original
>formula:
>1/2+1/2+1/2...........=infinite.
>
>In a game with a finite N of possible tosses the correct Expectation
>value = (the even bet)is 1/2*N with a small incertancy due to the last
>toss that in case it turns out tail we must decide what wheight give to
>it.
 
  The expectation value is determined the same way as for any other
distribution, <n> = \sum n P(n), where the sum runs from 1 to N.
In this case, P(n) = 1/2^n, so

     <n> = \sum n/2^n

>
>Once done so any game with any N is calculable, no paradox and no
>mystery.
>
>The game with infinite possible tosses is paradoxical just because is
>impossible to be played, maybe in a recursive manner each single bet
>(connected to each single toss) can be played and paid (.5) one at at
>time: then it is possible to imagine an infinite lasting game each
>component recursively explored.
>
>Such a recursive everlasting game should result in a zero net winning.
 
  Only if it's a fair game.
 



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