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KO with Table of Critical Running Counts (Update)

Editor by Editor
September 14, 2025
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KnockOut BlackjackBy Blackjack Rebel.

In my final article, High-Low (HL) depend with 7m9c, I had recommended that Knock-Out (KO) is a greater depend for the shoe sport than HL and I mentioned I might not cowl why in that article.  So I’m writing this text to clarify why the KO is a greater main depend for the shoe sport than HL is. For the 2 deck sport nonetheless use HL as the first depend however for the shoe sport, KO is significantly better.1)EDITOR NOTE: This article was initially printed on Oct 22, 2024.  It has been republished right here to simplify the presentation and make it simpler to know and use.  The creator is hopeful this new KO with TCRC article will draw curiosity and appreciates any feedback or suggestions. jQuery(‘#footnote_plugin_tooltip_46083_2_1’).tooltip({ tip: ‘#footnote_plugin_tooltip_text_46083_2_1’, tipClass: ‘footnote_tooltip’, impact: ‘fade’, predelay: 0, fadeInVelocity: 200, delay: 400, fadeOutVelocity: 200, place: ‘prime proper’, relative: true, offset: [10, 10], });

This article will cowl simply the first KO depend alongside with a Table of Critical Running Counts (TCRC) for eight and 6 decks as a substitute for the High-Low (HL) for a shoe sport. Some symbols used on this article are tc (or just “t”) = true depend, dp = decks performed, dr = decks remaining, n = quantity of decks and crc = important working depend. 

The KO is the HL with the sevens counted as +1 as an alternative of 0 as within the HL. The HL is balanced at zero and so counting the sevens as +1 creates the unbalanced KO with an unbalance of 4 per deck. Similar to the balanced HL, begin the KO at zero firstly of every shoe.

A significant downside with switching from HL to KO was learn how to get correct true counts with the unbalanced KO. This is solved with the Table of Critical Running Counts (TCRC). Use the next TCRC to get the KO true depend from the KO working counts and decks performed for enjoying technique variations and in addition decide what number of items to guess based mostly utilizing the KO working depend and decks performed. There isn’t any have to do any true depend calculations. Just memorized the TCRC and the betting desk included on this article for the six and eight deck video games which has a easy sample. For instance for a KO true depend of one the crc will increase by three for every deck performed and for a KO true depend of six the crc decreases by 2 for every deck performed they usually all converge to the pivot of 24 for six decks and 32 for eight decks as decks are performed. The system for six decks is crc(t) = 24 + (t – 4)*dr and for eight decks is crc(t) = 32 + (t – 4)*dr. If t = 0 then crc(t) = 4*n + (t – 4)*dr provides crc(0) = 4*n – 4*dr = 4*(n – dr) = 4*dp.

The KO indices for technique variations are mainly the HL indices. Three notable exceptions (all with a supplier up card of Ten) the place the KO index is lower than the HL index (see KO Risk Averse Indices chart) are: stand on laborious 14 v T if KO ≥ crc(7), give up laborious 14 v T if KO ≥ crc(2) and give up laborious 13 v T if KO ≥ crc(6).

In addition to the benefit of use of the KO depend system the place true counts can merely be appeared up in a TCRC (as an alternative of a real depend calculation that’s required with the HL), the KO true depend at true counts of three or extra the place giant bets are made and accuracy in true depend calculations for betting and enjoying technique variations is essential, are extra correct than the corresponding HL true counts.

HL has a pivot of a real depend of zero and KO has a pivot of a real depend of 4. At a real depend of six, for instance, HL is six true depend factors away from its pivot and KO is 2 true depend factors away from its pivot and so KO true depend of six utilizing TCRC is 3 times extra correct than a HL true depend calculation of six. In this case, if HL true depend the place to acquire the identical accuracy because the KO true depend, decks would should be estimated to the closest third of a deck and HL true depend calculations would should be precisely divided by decks to the closest third of a deck.

Consider the next instance which demonstrates the accuracy of KO true depend estimates as in comparison with HL true depend estimates when the true depend is near the KO pivot of a real depend of 4. In the case of splitting T,T v 6 the anticipated worth index is 5 however the threat averse index is six. So for six decks and estimated dr = 3 then utilizing the chance averse index, cut up T,T v 6 if HL ≥ 6*dr = 6*3 = 18 and cut up T,T v 6 if KO ≥ crc(6) = 24 + 2*dr = 24 + 2*3 = 30. Now suppose the precise decks remaining have been 4 and never three.

  • Splitting T,T v 6 with HL = 18 is splitting T,T v 6 not a HL true depend of six however at a HL true depend of HL / precise decks remaining = 18 / 4 = 4.5 so T,T v 6 is definitely being cut up under T,T v 6 anticipated worth index of 5 regardless that the chance averse index of six was used.
     
  • Splitting T,T v 6 with KO = 30 is splitting T,T v 6 not at a KO true depend of six however at a KO true depend, utilizing tc(KO) = 4 + (KO – 4*n) / dr, of KO = 4 + (30 – 4*6) / 4 = 4 + 6 / 4 = 5.5. Thus regardless that the estimated decks remaining was off by a full deck to the precise decks remaining, the KO true depend was at 5.5 and so was nonetheless above the KO anticipated worth index of 5 for splitting T,T v 6.

Accuracy of tc(KO) to tc(HL) at tc = 3, 4, 5, 6 for n = 6 decks:

  1. KO = crc(3) = 24 – dr    3 times as correct as HL = 3*dr
     
  2. KO = crc(4) = 24    actual as in comparison with HL = 4*dr
     
  3. KO = crc(5) = 24 + dr   5 occasions as correct as HL = 5*dr
     
  4. KO = crc(6) = 24 + 2*dr 3 times as correct as HL = 6*dr

Thus KO is superior to HL for the shoe sport as a result of:

  1. Power: KO is the theoretically strongest degree one depend.
     
  2. Accuracy: KO is extra correct than the HL at true counts of three or extra. KO estimation to the closest deck is enough.
     
  3. Ease of use: KO with its TCRC or the straightforward system crc(t) = 4*n + (t – 4)*dr is simpler to make use of than HL true depend calculations.

IMAGE CREDIT: Microsoft AI Copilot

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Footnotes
↑1 EDITOR NOTE: This article was initially printed on Oct 22, 2024.  It has been republished right here to simplify the presentation and make it simpler to know and use.  The creator is hopeful this new KO with TCRC article will draw curiosity and appreciates any feedback or suggestions.

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