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  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. Signs that you are counting cards

    Bill Zender’s excellent books talk to advantage play from the casino perspective. This is important to our side as we need to know how the casino side thinks. It is more important to know how the casino identifies an advantage player than it is to know how to accurately identify an advantage player. As many casino execs have read Bill’s books or attended his presentations, his work is valuable to us. Fortunately, a brief discussion by Bill on card counter identification is available online at: http://casinosurveillancenews.com/tr...nter-detection
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  3. 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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    Tags: kellyresizingror Add / Edit Tags
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  4. 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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    Tags: 1'"1????%2527%2522ror Add / Edit Tags
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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 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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