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  1. The Card Clumping Myth by Bryce Carlson

    As many members here know, in addition to his "AP" craps seminars, Jerry Patterson has for a long time also been pushing his blackjack card-clumping theories to a gullible gaming public. In response, several years ago I debunked the whole card-clumping concept with a very extensive series of computer studies that showed that under real-world conditions there is really nothing to the card-clumping myth.

    I subsequently wrote up the results of these computer studies in a well-received ...

    Updated 06-09-2012 at 01:38 PM by Bryce Carlson

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  2. Why Casino Craps Can't Be Beaten by Bryce Carlson

    Even though this site is primarily dedicated to AP blackjack, several members have indicated that they're also interested in the possibility of beating casino craps, as well. I also wondered about this, but after several years of study and research I determined that, unfortunately, casino craps cannot be beaten with legitimate play. I wrote up the results of my analysis in an article titled, "Why Casino Craps Can't Be Beaten," and Norm feels the members here may find it an enlightening ...

    Updated 11-25-2014 at 12:24 PM by Bryce Carlson

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  3. Fractional Insurance Index

    Nearly everyone uses integer indices these days as attempting to use indices like +1.4 provide little additional gain. This isn’t just because indices aren’t that sensitive. It is also because such theoretic indices aren’t even correct. The advantage over increasing counts for a decision is not a simple linear relationship. A decision may make sense at a count of 1.3 and 1.5 but not 1.4. When we focus in more closely and look at the advantage chart between two integer counts, we no longer
    ...

    Updated 04-25-2012 at 04:53 AM by Norm

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    Strategies
  4. Advantage per Running Count, Unbalanced Strategy

    We have seen charts showing the advantage a player has by section of the shoe for each True Count when discussing Floating Advantage. But, what about unbalanced counts?

    I created a chart showing the advantage by running count using REKO-F for the first deck in the shoe through the fifth deck in the shoe. In the earlier sections of the shoe, high counts are not possible as the initial running count is negative. This chart is provide with no editorialization.

    ...

    Updated 06-16-2019 at 04:01 AM by Norm

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    Studies
  5. Player Bust Rates

    Look around the web, and you will find dozens of sites that talk about dealer bust rates. Which is odd since it is a near useless statistic (not counting odd bonuses and side bets). What you do not see are discussions of player bust rates. Also generally useless. However, as it can be useful in the discussion of bonuses, I put together a chart:


    This chart is only for six decks, H17, DAS, dealer peeks with ten or ace, basic strategy,
    ...
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    Studies
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BJTF is an advantage player site based on the principles of comity. That is, civil and considerate behavior for the mutual benefit of all involved. The goal of advantage play is the legal extraction of funds from gaming establishments by gaining a mathematic advantage and developing the skills required to use that advantage. To maximize our success, it is important to understand that we are all on the same side. Personal conflicts simply get in the way of our goals.