Ease of Use vs. Efficiencies of Various Card Counting Strategies

There is no best Blackjack Strategy. In an attempt to visually illustrate the differences in ease of use and efficiencies between various Blackjack Card Counting strategies, Iíve created a 3D Scatter Chart. The chart consists of 14 balloons suspended above an x-z grid. (Note: Definitions are provided at the end of this page.) The x-axis is Betting Correlation. The z-axis is playing efficiency. The string from each balloon intersects the grid at the BC and PE for that strategy. The height of the balloon (y-axis) is the ease of use of the strategy. Thereby, each balloon indicates all three variables. The ideal system (impossible to obtain) would be at the top, right, back. Note, the two strategies in the center (Omega II and Uston APC), are very high PE, Ace-Neutral strategies. If Ace side counts are kept for these strategies, they would move substantially to the right placing them closer to the ideal combination of efficiencies. However, they drop in height as they become more difficult to use. Be careful of the parallax problem. Balloons closer to the front appear not to be as high as they are.

Card Counting Definitions

  • Playing Efficiency - PE indicates how well a card counting system handles changes in playing strategy. Playing efficiency is particularly important in hand-held games (one or two decks.)
  • Betting Correlation - BC is defined as the correlation between card point values and the effect of removal of cards. It is used to predict how well a card counting system predicts good betting situations and can approach 1.00 (100% correlation.) BC is particularly important in shoe games (six or eight decks.)
  • Insurance Correlation - IC is defined as the correlation between card point values and the value of cards in Insurance situation. A point value of -9 for tens and +4 for all other cards would be perfect for predicting if an Insurance bet should be placed.

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