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Topic: say I flip a coin 100 times...
Replies: 46   Last Post: Apr 18, 2005 9:42 PM

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 HERC777 Posts: 433 Registered: 12/13/04
Re: say I flip a coin 100 times...
Posted: Apr 17, 2005 7:04 PM

>probability that Herc's first n tosses match any of the
>first n sequences is zero, for all n, so the limit as n
>tends to infinity is also zero.

>In this case, Herc must form a new sequence, because we know
>his sequence is different in at least one place from each of

not only has this conclusion been proven wrong it is a non sequitur.
as n tends to infinity, the sequence is different at the nth place.

0.9.. is different to 0.9 at the 2nd place.
0.9.. is different to 0.99 at the 3rd place.

0.9.. =/= 0.99...9 (n 9s) forall n. so the limit as n tends to infinity
is they are also unequal.

This is the same erronous logic you used on the countable set of cs.

1 hthtthtth..
2 thththth..
3 tttthththt..

is a different type of set to

1 hhththth..
2 thttththth..
3 hhhththth..
...

Your induction only works on ANY sized finite set of flippers, not an
infinite set.

Herc

Date Subject Author
4/12/05 HERC777
4/12/05 Jan Burse
4/12/05 HERC777
4/12/05 George Greene
4/13/05 Barb Knox
4/13/05 HERC777
4/13/05 Yajun
4/13/05 HERC777
4/13/05 Jay
4/13/05 HERC777
4/13/05 Jay
4/14/05 Yajun
4/14/05 George Greene
4/14/05 George Greene
4/13/05 Will Twentyman
4/13/05 briggs@encompasserve.org
4/13/05 briggs@encompasserve.org
4/14/05 George Greene
4/14/05 tchow@lsa.umich.edu
4/14/05 briggs@encompasserve.org
4/12/05 Tony
4/13/05 HERC777
4/13/05 ken quirici
4/13/05 Ralph Hartley
4/13/05 Robert Low
4/13/05 Ralph Hartley
4/13/05 Robert Low
4/13/05 tchow@lsa.umich.edu
4/13/05 HERC777
4/13/05 tchow@lsa.umich.edu
4/14/05 HERC777
4/14/05 George Greene
4/14/05 HERC777
4/15/05 tchow@lsa.umich.edu
4/15/05 tchow@lsa.umich.edu
4/16/05 George Greene
4/16/05 HERC777
4/17/05 George Greene
4/17/05 Patricia Shanahan
4/17/05 HERC777
4/18/05 Patricia Shanahan
4/17/05 tchow@lsa.umich.edu
4/18/05 HERC777
4/18/05 George Greene
4/18/05 tchow@lsa.umich.edu
4/18/05 HERC777