Re: shooting room note

Eliezer Yudkowsky (sentience@pobox.com)
Tue, 31 Dec 1996 10:53:40 -0600

> See if you can modify the game so that the majority of players are still
> in the last round, there is an "average number of players", and the
> number of players still increases by an integer factor in each round.
> I wasn't able to do it.

Chance of next round = 35/36, increase = 10 times. Series does not
converge.

Change of next round = 1/36, increase = 10 times. Series converges, but
now it terminates almost immediately.

Now the paradox is reversed; 90% of the players will see the last round,
but there's a 96% (?) chance that a given round will end.

-- 
         sentience@pobox.com      Eliezer S. Yudkowsky
          http://tezcat.com/~eliezer/singularity.html
           http://tezcat.com/~eliezer/algernon.html
Disclaimer:  Unless otherwise specified, I'm not telling you
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