You hold a hard 12 (no ace counted as 11). The dealer shows a 4. Here is the mathematically correct basic-strategy play — and why.
| Stand ← | -0.2111 |
| Hit | -0.2135 |
| Double | -0.4271 |
| You bust on the next card | 30.8% |
| Dealer 4 busts | 39.4% |
Stand and Hit are almost the same bet here — the gap is 0.0025 per unit, the closest kind of decision in the game. Play stand, but nobody should lose sleep over this one. Across the 340 situations in this chart it ranks 265th by expected value — better than 75 of them, worse than 264. Expected value is per unit staked, computed for multi-deck, dealer stands on soft 17, double after split allowed. The model and the code are published as data.
Showing a 4, the dealer ends up busting about 40% of the time. Meanwhile, if you hit hard 12, the next card busts you 31% of the time. When the dealer is this likely to destroy their own hand, taking that risk is a losing trade — you stand and let the math work against them.
This is one of the most common mistakes at the table: players feel 'weak' standing on 12 and draw anyway. Over thousands of hands, hitting here costs real money. The chart says stand — every time.