Decision Library
Hard 13 vs dealer 10 · six decks · dealer stands on soft 17 · double after split allowed
Correct play
HitThe best you can do is hold the loss to -0.429 per unit, and hitting beats surrendering by 0.071 per unit.
Deals a hard 13 against a dealer 10 in the trainer, graded live.
Per unit bet, six decks, dealer stands on soft 17, computed by the engine.
| Option | EV / unit | vs. best |
|---|---|---|
| HitBest | -0.429 | — |
| Surrender | -0.500 | -0.071 |
| Stand | -0.540 | -0.111 |
| Double | -0.874 | -0.445 |
Hard 13 is too low to leave alone against a 10. Standing surrenders the hand to a dealer who reaches a pat total most of the time, so you take the card. Your bust risk on the hit is 38.5%, and against this upcard that risk is worth accepting.
Hitting returns -0.429 per unit versus -0.540 for standing, a +0.111 swing in favor of taking the card.
It is tempting to stand on 13 and hope the dealer busts, but against a 10 that hope is too thin. Standing costs 0.111 per unit versus the correct hitting. Over a few hundred of these hands, that is real money handed back.
Same hand, different table conditions. The correct play holds unless noted.
| Table condition | Correct play |
|---|---|
| 6 decks, stands soft 17 (baseline) | Hit |
| 6 decks, hits soft 17 | Hit |
| Single deck, stands soft 17 | Hit |
| Double deck, stands soft 17 | Hit |
| No surrender offered | Hit |
The play is stable: hit is correct across deck counts, the soft-17 rule, and whether or not surrender is offered.
Strategy and expected values from a combinatorial engine validated against Wizard of Odds.