Deviations
When and why the true count changes the optimal play
What Are Deviations?
Basic strategy is optimal when you don't know the composition of the remaining cards. But a card counter does know — the true count tells you whether the shoe is rich in high or low cards. At certain counts, a different action becomes better than the basic strategy play. These are called deviations.
Each deviation has an index number and two actions. You play the first action when the true count is below the index, and the second action when the true count is at or above the index. For example, Hard 16 vs 10 has an index of +0 with Hit → Stand. That means: hit when the TC is below 0, and stand when the TC is 0 or higher.
SIMULATION DETAILS
EV vs True Count Explorer
This is the core visualization. Select a hand and see how the expected value of each action changes across true counts. Where the lines cross is the exact point where the optimal action switches — that crossing is the deviation threshold.
EV vs True Count Explorer
Click any cell in the strategy chart to see how its EV changes with the count. Split-colored cells are deviations.
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Data points are plotted at TC + 0.5 because the simulation uses floored true counts. A floored TC of N represents a continuous true count in the range [N, N+1), with an average near N + 0.5. The half-step offset reflects this so crossover points appear at their true position on the continuous scale.
How Many Deviations Do You Need?
Deviations are ranked by EV gain. The first few deviations capture most of the available edge, with sharply diminishing returns after that. The famous “Illustrious 18” captures the lion's share of deviation value. The chart below shows the cumulative EV gain as you add deviations in order of importance.
Cumulative Deviation Value
Total EV gain as you learn more deviations (in order of importance)
The Illustrious 18
The 18 most valuable deviations for the standard 6-deck shoe, ranked by EV impact. These are the ones worth memorizing.
| # | Hand | Below Index | Index | At or Above | EV Gain |
|---|---|---|---|---|---|
| 1 | Insurance | Stand | +3 | Hit | +0.0677% |
| 2 | Hard 16 vs 10 | Hit | +0 | Stand | +0.0265% |
| 3 | 10,10 vs 6 | Stand | +4 | Split | +0.0182% |
| 4 | Hard 12 vs 3 | Hit | +1 | Stand | +0.0159% |
| 5 | 10,10 vs 5 | Stand | +5 | Split | +0.0129% |
| 6 | Hard 12 vs 2 | Hit | +3 | Stand | +0.0077% |
| 7 | Hard 15 vs 10 | Hit | +4 | Stand | +0.0071% |
| 8 | Hard 9 vs 2 | Hit | +1 | Double | +0.0070% |
| 9 | Hard 10 vs 10 | Hit | +4 | Double | +0.0045% |
| 10 | Hard 8 vs 6 | Hit | +2 | Double | +0.0042% |
| 11 | Hard 9 vs 7 | Hit | +4 | Double | +0.0041% |
| 12 | A,8 vs 5 | Stand | +1 | Double | +0.0039% |
| 13 | Hard 10 vs A | Hit | +3 | Double | +0.0037% |
| 14 | 10,10 vs 4 | Stand | +7 | Split | +0.0034% |
| 15 | Hard 8 vs 5 | Hit | +3 | Double | +0.0031% |
| 16 | Hard 12 vs 4 | Hit | +0 | Stand | +0.0028% |
| 17 | Hard 16 vs A | Hit | +4 | Stand | +0.0026% |
| 18 | A,8 vs 4 | Stand | +3 | Double | +0.0016% |
Explore deviations for every ruleset with the interactive charts:
View Full Deviation Charts