blackjack risk of ruin
What is the equation that describes the final distribution of bankroll at risk of ruin and + waiting?
I played blackjack and I care positive with a finite number bankroll. I know that with an infinite banking, the final distribution of Gauss. I can determine this curve, because I know devata standard rate average income (average x bet pending) on hand. But when I make sims risk of ruin, is a Gaussian curve or a bit less asymmetrical. I saw the forms of risk of ruin (ROR), but have not seen a final bankroll that describe distributions with MMR in mind … What we expect is the formula would have the following property: Lim (banking -> infinity) = Gaussian … Ideally, I see a form where I input the expectation gap standards, the challenge to the average and initial bankroll, to reach the final based banking in the probability distribution (or cumulative distribution function). Sorry, but this issue is so technical! Can I save many hours of time blackjack SIM and could not easily probability intervals Calc! Thanks =)
I believe there is a closed formula, I have never seen, but the links on this page may help you much more information: http://www.bjmath.com/bjmath/ror/ror.htm