Quote:
I've seen a lot of evidence presented that shows that more than likely the deal is fair.
Well, I have a bad news for you: what you have seen is not an evidence and I am struggling to understand the rational and logic behind this argument (the latest is probably not a news).
In poker any combination of hands is legitimate and must be seen as random. If you would get 10 pocket AA in a row it would be well within the boundaries of the domain and because of the large variance of the possible hands one must accept that any card distributions is completely normal. So again, if any card contributions is normal, how in the earth of any analysis of any number of hands proves that the system is random in a domain where basically anything fits in the randomness.
My above sample, the two hands with the 99 diamond is perfectly fits in your large multimillion hand sample and distributing a wining hand to designated players is clearly not going to change the outcome of your analysis. No?