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brh

  1. Small error and the wonders of technology..

    In my re-derivation of the Patrick Sileo result ROR = e^(-2Bank/EKB) in my version of the Optimal Betting Spread proof found here

    http://www.blackjackforumonline.com/...ng_Spreads.pdf , some tinkering with my WolframAlpha App on my Ipad I discovered a pleasing error.

    The offending expression was that equation (75) was that the quantity Y = e^2 + O(1/sqrt(n0)). I was playing with the expression (75) using Mathematica online, and it actually gave me the expansion
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  2. Partly agreeing with Blackjack Avenger Part 2:

    Quote Originally Posted by brh View Post
    Quote Originally Posted by brh View Post
    Thanks Gramazeka, I need these results for another thread:

    I am interested in the case where the Kelly bettor sets their goal at Infinity.

    1. Prob [Bank reaches "b", before loosing "a"](k) = [1-a^(1-2/k)]/[b^(1-2/k) - a^(1-2/k)]

    If lim b-> infinity (k<2),
    Prob [Inf,a](k) = [1-a^(1-2/k)]/[ 0 - a^(1-2/k) ]

    = - [1-a^(1-2/k)]/[ a^(1-2/k) ]

    = 1 - a^(2/k-1)
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  3. Kelly betting on high variance games

    Quote Originally Posted by brh View Post
    Quote Originally Posted by Matt21 View Post
    I have actually asked a similar question on the old bjinfo but wanted to revisit this as I found some conflicting answers.

    Generally speaking, when betting full Kelly you divide the edge% by the pay-off a winning bet to arrive at the % of your bankroll that you should wager on your bet.

    Does this apply equally regardless whether your pay-off is 1:1, 5:1, 10:1, 50:1 or 100:1? Does this rule of thumb change if you are playing with a high edge (say 30% or 40% as an example).
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  4. What is the fastest way to get to the long run in Blackjack?

    Quote Originally Posted by brh View Post
    Quote Originally Posted by seriousplayer View Post
    By playing solo what is the fastest way to get to the long run?
    The fastest way to get to the long run is to shorten the long run.

    That is always minimise N0 by an means available - wonging is the best bet.

    Norm - could these two posts be put somewhere here so I don't keep referring to them:

    http://www.blackjackforumonline.com/...eads-howto.pdf
    http://www.blackjackforumonline.com/...ng_Spreads.pdf .

    Maybe you could set up a
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  5. What is the fastest way to get to the long run in Blackjack?

    Quote Originally Posted by brh View Post
    Quote Originally Posted by brh View Post
    It doesn't work that way. The value of N0 depends solely on the game, your count, your unit (ie 1-M) spread and your Wong point.
    What fraction of your ekb (equivalent Kelly Bankroll) you are using to determine your betting unit makes no difference to N0.
    That's just how things work.
    Brett.
    BA,

    Sorry to sound a bit harsh, but I am getting a little tired of having to explain over and over again - its not your fault.

    Again to quote this
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