Perfect blackjack
basic strategy.
Every player hand against every dealer up card. Memorize this and the house edge drops from ~2.5% (typical play) to ~0.5% (perfect play). Five-times improvement in your expected return — the single biggest EV gain available in any casino on the floor.
What the cells mean
Charts assume 6-deck shoe · dealer stands on soft 17 · double after split allowed · late surrender where shown
Hard totals (no usable ace)
| Player | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| 5–8 | H | H | H | H | H | H | H | H | H | H |
| 9 | H | D | D | D | D | H | H | H | H | H |
| 10 | D | D | D | D | D | D | D | D | H | H |
| 11 | D | D | D | D | D | D | D | D | D | H |
| 12 | H | H | S | S | S | H | H | H | H | H |
| 13 | S | S | S | S | S | H | H | H | H | H |
| 14 | S | S | S | S | S | H | H | H | H | H |
| 15 | S | S | S | S | S | H | H | H | R | R |
| 16 | S | S | S | S | S | H | H | R | R | R |
| 17 | S | S | S | S | S | S | S | S | S | Rs |
| 18+ | S | S | S | S | S | S | S | S | S | S |
"Hard" means your hand has no ace, or the ace must count as 1 (counting it as 11 would bust). This is the most important chart — you'll be in this state most of the time.
Soft totals (ace counts as 11)
| Player | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| A,2 | H | H | H | D | D | H | H | H | H | H |
| A,3 | H | H | H | D | D | H | H | H | H | H |
| A,4 | H | H | D | D | D | H | H | H | H | H |
| A,5 | H | H | D | D | D | H | H | H | H | H |
| A,6 | H | D | D | D | D | H | H | H | H | H |
| A,7 | Ds | Ds | Ds | Ds | Ds | S | S | H | H | H |
| A,8+ | S | S | S | S | S | S | S | S | S | S |
"Soft" hands cannot bust on the next card (ace can shift to counting as 1). Soft 17 (A,6) is famously misplayed — most players stand; you should always hit or double.
Pair splitting
| Pair | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| 2,2 | P* | P* | P | P | P | P | H | H | H | H |
| 3,3 | P* | P* | P | P | P | P | H | H | H | H |
| 4,4 | H | H | H | P* | P* | H | H | H | H | H |
| 5,5 | D | D | D | D | D | D | D | D | H | H |
| 6,6 | P* | P | P | P | P | H | H | H | H | H |
| 7,7 | P | P | P | P | P | P | H | H | H | H |
| 8,8 | P | P | P | P | P | P | P | P | P | R |
| 9,9 | P | P | P | P | P | S | P | P | S | S |
| 10,10 | S | S | S | S | S | S | S | S | S | S |
| A,A | P | P | P | P | P | P | P | P | P | P |
Always split aces and 8s. Never split 5s (you'd give up a strong 10). Never split 10s (you'd give up a 20). 9s split against most dealer cards but stand against 7, 10, and Ace.
The math behind the chart
Every cell in this chart is the action with the highest expected value (EV) for that exact situation, computed by simulating billions of hands. There is no judgment call. There is no intuition. The chart is a solved game.
The dealer's strategy is fixed and public: hit until 17, then stop. Knowing this, every player decision can be modeled as a probability distribution: what's the chance the dealer busts given their up card, vs. the chance you bust if you hit, vs. the chance the next card improves your hand.
Example: you have hard 16, dealer shows 10. If you hit, 62% of cards bust you. If you stand, you lose ~77% of the time anyway because the dealer reaches 17–21. Hitting is slightly better. Surrendering (giving up half the bet) is even better when available.
The 0.5% house edge that remains after perfect basic strategy is what you are inherently paying to participate. To get below it requires card counting, which crypto casinos with auto-shuffled or RNG-shoe blackjack make impossible.
Three patterns and you've got 80%
When the dealer shows 4, 5, or 6 the bust probability spikes (35–42%). You stand on hard 12+ and double on more hands than against any other dealer card.
When the dealer shows 7 through Ace, you have to make your hand because the dealer probably will. Hit hard totals up to 16; stand on 17+.
Always split aces and 8s. Never split 5s and 10s. Memorize these four; the other pairs follow the dealer-bust-card logic above.


