Deviations and Index Plays

Short answer

Basic strategy is the best play when you know nothing about the remaining deck. Once you have a count, a handful of plays change. An index number is the true count at which the correct play flips from the basic-strategy move to the deviation.

Insurance is the single most valuable deviation

Insurance is a losing bet at a neutral count, but in a ten-rich shoe it becomes profitable. The standard rule is to take insurance when the true count is at or above its index, most commonly cited around +3. This one deviation is often worth more than all the rest combined, because it lets you make a profitable side bet exactly when you already have a large main bet out.

The Illustrious 18

These are the eighteen most valuable index plays: the deviations that earn the most given how often they come up. Each is a hand plus a dealer upcard plus an index number. When your true count is at or beyond that number, you deviate.

On the index numbers below. These are the standard published reference indices for a six-deck game, shown so the page and trainer are usable. They are established constants from the blackjack literature, not values our engine computes, and they shift slightly with deck count and rules. Confirm each against a cited source for your exact configuration before treating the table as final.
Your handDealer upBasic playDeviate toIndex
InsuranceANoTake it+3
1610HitStand0
1510HitStand+4
10,10 (20)5StandSplit+5
10,10 (20)6StandSplit+4
1010HitDouble+4
123HitStand+2
122HitStand+3
11ADoubleDouble+1
92HitDouble+1
10AHitDouble+4
97HitDouble+3
169HitStand+5
132StandHit-1
124StandHit0
125StandHit-2
126StandHit-1
133StandHit-2

The Fab 4

These are the four most valuable late-surrender deviations, telling you to surrender certain hands at or above a given count when the game offers surrender. Confirm the exact hands and indices for your rules before publishing them, since surrender availability changes the set.

How index numbers read

A positive index means deviate when the true count is that number or higher. A negative index means deviate when the true count is that number or lower. Reading the sign correctly matters, and the trainer's deviation drill enforces it.

Priority

Do not try to learn every index at once. Insurance first, then the plays that come up most and earn the most. Diminishing returns set in quickly past the top few.