[Slim Pickens]

OK. I missed that point. Here's a thought on something you could do. Throw some variation into the finish distribution Monte Carlo-style. Instead of using a single finish distribution for the entire run of 10k (or however many) tournaments, for each simulated tournament have it first pick a random finish distribution from a normally-distributed distribution of distributions. Yeah, you heard me. What I think this does is include some epistemic uncertainty in your simulation. Bah. If this makes sense do it. Otherwise, just ignore mme.