Note that for (!13), exact probabilities would give you better than nine
digits of precision.  This would be helpful if you are differentiating
between strategies that differ by only one part in a billion, but I've found
that three or four digits are all you need for most practical distinctions.

On Thu, Mar 3, 2011 at 10:48 AM, Justin Paston-Cooper <
[email protected]> wrote:

> I don't know whether this would be sufficient. It would be nice to
> have exact probabilities, but I haven't really reasoned about the
> space required. 13! is already 6227020800, and there's going to be a
> table for each stage in each game. Ultimately I would like to use the
> probabilities to play this game on-line, finding bets which go against
> the calculated probabilities. I'd start worrying about the randomness
> of the games.
> ...
>
-- 
Devon McCormick, CFA
^me^ at acm.
org is my
preferred e-mail
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