[computer-go] creating a "random" position

[George Dahl]

How would one go about creating a random board position with a uniform
distribution over all legal positions?  Is this even possible?  I am
not quite sure what I mean by uniform.  If one flipped a three sided
coin to determine if each vertex was white,black or empty, then one
would have to deal with stones with no liberties somehow.  Could those
just removed?

- George