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Kevin Wampler <wam### [at] uwashingtonedu> wrote:
> Warp wrote:
> > This gave me an idea for a small thinking problem:
> >
> > - How should two people play rock-paper-scissors in such way that it's
> > completely equivalent to rolling a 1d6? Or is it theoretically even
> > possible?
> Both people show a number of fingers between 0 and N-1, if we're both
> showing the same number I win, otherwise you win. Then the chance of me
> winning assuming best play is 1/N. You can easily tweak this to get any
> rational number.
But the idea is to get a random number between 1 and 6.
> > - How should they play to get the equivalent of throwing multiple dice?
> > For example, the equivalent of rolling 2d6? How about 3d6 or 4d6? How
> > about even more complicated situations, such as 2d20 or 3d20?
> If you use toes as well as fingers, then sure.
Note that rolling a 2d6 is *not* the same as rolling a 1d12 (or, more
precisely, 1d11+1).
--
- Warp
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