How can you possibly provide a mathematical analysis of RE without having access to the code? TBQH without knowing what the RE code is, what the RNG code is, and how it is implemented you can't possibly give any real accounting of the results that you see in the game.
Actually, that was sort of the point I was trying to make to the OP. His sample size was too small.
However, the nature of his analysis was, in fact, a mathematical one. It was refreshing to see a post about RE that wasn't grounded in an emotional perspective.
Headpunch's post that "the OP doesn't understand statistics"
threw me, as anyone who has studied the type of math being described in this thread can tell that Darth_Sweets isn't likely to be lying when he presents his field of expertise (post #11).