You hold a hard 13 (no ace counted as 11). The dealer shows a 2. Here is the mathematically correct basic-strategy play — and why.
| Stand ← | -0.2928 |
| Hit | -0.3078 |
| Double | -0.6156 |
| You bust on the next card | 38.5% |
| Dealer 2 busts | 35.4% |
Stand beats Hit by 0.0150 per unit staked. Small, but it is the same small edge in every shoe you ever play — and it compounds over a lifetime of hands. Across the 340 situations in this chart it ranks 294th by expected value — better than 46 of them, worse than 293. 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 2, the dealer ends up busting about 35% of the time. Meanwhile, if you hit hard 13, the next card busts you 38% 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 13 and draw anyway. Over thousands of hands, hitting here costs real money. The chart says stand — every time.