Bob,
I remembered the 649 part of the dealt royal number but not the 3 least significant digits. It didn't really matter for the point I was trying to make but you are correct in that if I rounded, I should have rounded to 1 in 650,000.
The point I was trying to make is that tracking a very rare event and trying to make some determination about your results from it is probably a waste of time. And more importantly, the total number of a particular hand is what is important and not where they came from.
I have had 2,000 hand single line sessions of Double Bonus where I have received more 4 of a kinds from holding a pair than from holding 3 of a kind. What does that tell me about my results or fairness of the game or anything else? Not a whole lot.
Dealt hands on multi line machines are great but getting deuces dealt once on a 5 play deuces wild game in 5 hours counts the same as getting deuces on one line 5 different times in that 5 hours. The dealt royals are noticeable due their rareness and large payout but I don't think you can draw much of a conclusion about your play based on how many dealt royals you have received. Especially if you don't track the stats of your sessions.