First off, "pure math" already refers to something more specific than the way you used the term.
Secondly, I didn't even read this promotion's details. I have very little interest in or time for gambling math per se. At any rate, gambling math doesn't call for a lot of if any rigorous mathematical proof or debate.
Thirdly, aren't computer simulations for engineering, math, or whatever, supposed to be about not being able to (easily) "punch in the exact numbers"? Like for generating the first million prime numbers to check out some of the longstanding unsolved conjectures and theorems about primes? Did you really mean only that the guy who did the simulation didn't properly set it up, he misunderstood that promotion's details, and/or he is a poor computer programmer?
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All Stickman did with the simulation is make an estimate because he didn't know the exact math to use, and he couldn't punch the exact numbers into the simulation.
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There are plenty of math sites on the internet where you can ask and get answers by college math professors
Then why do you continue to search for others to prove things out here? Why does anyone have to go to Montana to see you play? To see where you live? To go to Vegas to read stuff going back forty years on Red, that only he seems to be in possession of? And on and on. Post up your own proofs, and simple evidence of what you claim to do. Find something by someone with a real name in the gambling industry who writes that slot machines offer a high-level income. Ask the guy who did the simulation to show you his code. Find out his side of the story. Have him post any corrections and other edits to his casino internet site.
Still waiting just to hear about how poker EV is different from that of blackjack, and, hence, how the long-run distributions differ in comparison; how no one has to lose at blackjack; how KJ "blows through" a deck or two playing heads-ups, five times a day to play a hundred thousand hands a year, but still manages to count one or two more tables. If you want to continue to endorse KJ, you have to back up also what you do and don't write about it. And, how it was that you wrote on the WoV that you lived out of a hotel at the corner of such and such somewhere in Montana.
You skirt the comments and questions that you, apparently, can't acknowledge and truthfully reply to other than with vague isolated and idiotic responses such as "brain-dead and beyond help".
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Here is the question to ask: What is the probability of rolling the dice exactly 13 times without producing a 7?
Fine. If that's all there is to it, then ask the Wizard. You should have had the one precise answer a long time ago.