Arci-you really are all that Singer says you are. The kid was asked to run the 3 new simulations. If you want to run 10,000 feel free. He has no interest in VP at all, and has never played for real money--only on the puter.

The results are what they are--and because they don't meet your beloved EP they must be a hoax.

The key point is it proves that random means random, and maybe your holy grail of the "long run" is suspect.

What he did explain is how some of his games are set to certain percentages, and within the gaming context the deviations from what he has programmed in that environment would not be out of line. Whether that translates to Vp---up to you to decide. You take this all too serious.

And by the way, what are the odds of my going millions of hands without a royal? That is what random means. the math be damned.