Steve Jacobs wrote (snip):
I wish Jazbo were here. I can talk to him without being blown off with
comments to the effect that "200 year old math can't be wrong..."
That's misquoted and out of context. Many aspects of math that were accepted as correct 200 years ago have since been proven to be wrong. For example, Euclid's formulas for mass, acceleration, etc., were accepted as being precise until Einstein showed that they don't work at very high velocities (but they're still perfectly fine for everyday use).
What I said was that the Poisson Distribution formula has been accepted as accurate for nearly 200 years. No one has yet shown any error in that formula. Any formula, no matter how good, can however be misapplied, which is why I don't try to apply Poisson's formula for a bankroll that is insufficient for at least one royal cycle.
I appreciate Mr. Jacobs' comments, and perhaps I can work them into an accurate formula. Or maybe Jazbo will come up with a solution. In the mean time, I'm working on a simulation program that will take into account all of the fluctuations along the way to a royal.
Dan
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Dan Paymar
Author of best selling book, "Video Poker - Optimum Play"
Editor/Publisher of VP newsletter "Video Poker Times"
Developer of VP analysis/trainer software "Optimum Video Poker"
Visit my web site at www.OptimumPlay.com
"Chance favors the prepared mind." -- Louis Pasteur