Blackjack card counting systems
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Blackjack, or Twenty-one, is the most popular casino game. With the development of the personal computer, players, including mathematically skilled individuals who had used brute force methods to develop systems to win at the game, found that computer-developed systems provided a distinct advantage.
In the 1960's, blackjack became the most popular of casino games after computer-based systems were developed which gave an edge to the player. Various mathematicians and gamblers including Edward Thorp and Les Golden have refined these systems.[1][2][3][4][5]
The following table summarizes the most popular and most powerful systems. References are provided to the developers of the systems and the most authoritative websites which discuss their attributes.
The numbers in the table are the values assigned to the given card. In blackjack, 10s, Jacks, Queens, and Kings are all considered "10-value" cards. The total "count" of a hand is the arithmetic sum of the values assigned to the cards being held in the hand.
| System Name | 2s | 3s | 4s | 5s | 6s | 7s | 8s | 9s | 10s | A’s | Developer |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Advanced Omega II[6][7][8] | 1 | 1 | 2 | 2 | 2 | 1 | 0 | -1 | -2 | 0 | Bryce Carlson |
| Canfield Expert[9][10] | 0 | 1 | 1 | 1 | 1 | 1 | 0 | -1 | -1 | 0 | Richard Canfield (John Hinton) |
| Canfield Master[11] | 1 | 1 | 2 | 2 | 2 | 1 | 0 | -1 | -2 | 0 | Richard Canfield (John Hinton) |
| Hi-Lo[12][13] | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | -1 | -1 | Edward O. Thorp |
| Hi-Opt I (High Optimum)[14][15] | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | -1 | 0 | Lance Humble and Carl Cooper |
| Hi-Opt II (High Optimum)[16][17] | 1 | 1 | 2 | 2 | 1 | 1 | 0 | 0 | -2 | 0 | Lance Humble and Carl Cooper |
| Keep It Simple 2 (KISS 2)[18][19] | 0/1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | -1 | 0 | Fred Renzey |
| Keep It Simple 3 (KISS 3)[20][21] | 0/1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | -1 | -1 | Fred Renzey |
| Knock Out (K-O; All Sevens)[22][23][24] | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | -1 | -1 | Olaf Vancura and Ken Fuchs |
| Mentor[25][26] | 1 | 2 | 2 | 2 | 2 | 1 | 0 | -1 | -2 | -1 | Fred Renzey |
| Red Seven[27][28] | 1 | 1 | 1 | 1 | 1 | 0/1 | 0 | 0 | -1 | -1 | Arnold Snyder |
| Revere 14 Count[29][30] | 2 | 2 | 3 | 4 | 2 | 1 | 0 | -2 | -3 | 0 | Lawrence Revere (G. Owens) |
| Revere Advanced Point Count (RAPC)[31][32] | 2 | 3 | 3 | 4 | 3 | 2 | 0 | -1 | -3 | -4 | Lawrence Revere (G. Owens) |
| Revere Plus-Minus[33][34][35] | 1 | 1 | 1 | 1 | 1 | 0 | 0 | -1 | -1 | 0 | Lawrence Revere (G. Owens) |
| Revere Point Count (RPC)[36][37] | 1 | 2 | 2 | 2 | 2 | 1 | 0 | -1 | -2 | -2 | Lawrence Revere (G. Owens) |
| Silver Fox[38][39][40] | 1 | 1 | 1 | 1 | 1 | 1 | 0 | -1 | -1 | -1 | Ralph Stricker |
| Unbalanced Zen II (UBZ2)[41][42][43] | 1 | 2 | 2 | 2 | 2 | 1 | 0 | 0 | -2 | -1 | George C. |
| Uston Advanced Plus/Minus (APM)[44][45] | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | -1 | -1 | Ken Uston |
| Uston Advanced Point Count (APC)[46][47] | 1 | 2 | 2 | 3 | 2 | 2 | 1 | -1 | -3 | 0 | Ken Uston |
| Uston Strongest and Simplest (SS)[48][49] | 2 | 2 | 2 | 3 | 2 | 1 | 0 | -1 | -2 | -2 | Ken Uston |
| Wong Halves[50][51][52] | .5 | 1 | 1 | 1.5 | 1 | .5 | 0 | -.5 | -1 | -1 | Stanford Wong (John Ferguson) |
| Zen Count[53][54] | 1 | 1 | 2 | 2 | 2 | 1 | 0 | 0 | -2 | -1 | Arnold Snyder |
References
- ^ Golden, Les (2010). “Countering the Casino Countering of Counters: The Golden Diagram to the Rescue,” Bluff Europe, June, p. 84-85
- ^ Golden, Les (2011). “Trust Me: An Undetectable Winning System For Blackjack! ,” Bluff Europe, March, p. 94-95
- ^ Golden, Leslie M. (2011). “An Analysis of the Disadvantage to Players of Multiple Decks in the Game of 21.” The Mathematical Scientist, 32, 2, p. 57-69
- ^ http://www.appliedprobability.org/content.aspx?Group=tms&Page=tmsabstracts
- ^ Golden, Les (2011). “Stepping Out With My Baby: The Stepwise Betting Strategy,” Bluff Europe, April, p. 92-93
- ^ Carlson, Bryce (2010) Blackjack for Blood, Gamestar Pr Inc
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Omega II Blackjackage". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Omega II BJ21". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Canfield Expert book". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Canfield Expert Cardcounting". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Canfield Master". Retrieved 2012-11-24.
- ^ Thorp, Edward O.(1962) Beat the Dealer: A Winning Strategy for the Game of Twenty-One, Vintage, New York
- ^ Thorp, Edward O.(1966) Beat the Dealer: A Winning Strategy for the Game of Twenty-One, revised edition, Vintage, New York
- ^ Humble, Lance and Cooper, Carl (1987) The Worlds Greatest Blackjack Book , Doubleday, New York
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Hi-Opt I". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Hi-Opt II blackjackinfo". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Hi-Opt II blackjacktactics". Retrieved 2012-11-24.
- ^ Renzey, Fred (2006) Blackjack Bluebook , Blackjack Mentor Press
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Kiss 2". Retrieved 2012-11-24.
- ^ Renzey, Fred (2006) Blackjack Bluebook II , Blackjack Mentor Press
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Kiss 3". Retrieved 2012-11-24.
- ^ Vancura, Olaf and Fuchs, Ken (1998) Knock-Out Blackjack, Huntington Press
- ^ Zadehkoochak, M. (1992) The Book of British Blackjack Medimage. ISBN 1-897728-00-X
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Knock Out or All Sevens". Retrieved 2012-11-24.
- ^ Renzey, Fred (2006) Blackjack Bluebook II , Blackjack Mentor Press
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Mentor". Retrieved 2012-11-24.
- ^ Snyder, Arnold (1983) Blackbelt in Blackjack
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Red Seven". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere 14 Count clickcasino". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere 14 Count howtoplayblackjacks". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere APC lolblackjack". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere APC bonusblackjack". Retrieved 2012-11-24.
- ^ Revere, Lawrence (1971) Playing Blackjack as a Business , Carol Publishing Group-Lyle Stuart
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere Plus-Minus". Retrieved 2012-11-24.
- ^ Revere, Lawrence (1971) Playing Blackjack as a Business , Carol Publishing Group-Lyle Stuart
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Revere Point Count". Retrieved 2012-11-24.
- ^ Stricker, Ralph, Silver Fox Blackjack System, Gambler’s Book Club, Las Vegas
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Silver Fox lolblackjack". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Silver Fox bjinsider". Retrieved 2012-11-24.
- ^ C., George, The Unbalanced Zen II in Schlesinger, Don (2008 ) Blackjack Attack: Playing the Pros’ Way, RGE Publishers
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Unbalanced Zen II bj21". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Unbalanced Zen II lolblackjack". Retrieved 2012-11-24.
- ^ Uston, Ken (1998) Million Dollar Blackjack, Carol Publishing Group
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Uston Advanced Plus-Minus". Retrieved 2012-11-24.
- ^ Uston, Ken (1998) Million Dollar Blackjack, Carol Publishing Group
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Uston APC". Retrieved 2012-11-24.</ref24}}
- ^ Uston, Ken (1998) Million Dollar Blackjack, Carol Publishing Group
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Uston Strongest and Simplest". Retrieved 2012-11-24.
- ^ Wong, Stanford (1994) Professional Blackjack, Pi Yee Pr Press
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Wong Halves wonghalvesblackjack". Retrieved 2012-11-24.
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Wong Halves blackjackage". Retrieved 2012-11-24.
- ^ Synder, Arnold (2005) Blackbelt in Blackjack, Cardoza, Las Vegas
- ^ <templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>"Zen Count". Retrieved 2012-11-24.
