What are the odds that someone at a full table has a premium hand?

[gaming_mouse]

Yeah,

I'm thining about writing a little program to calculate this answer. The more I think about, the more I realize doing this by hand to get an exact solution is just ugly and a big pain. The program would take about 15 minutes to write -- maybe I'll do it later, or maybe you can do it. In any case, the answer is within 10% of my original estimate, I'd say, if not closer.

gm

[Position]

Yeah, Monte Carlo would be easy here.

I now completely agree that the real answer is within a couple percentage of your first estimate (and my first estimate once I plugged in the right numbers!). We each got 54.something% for the original question.