Updated 2026-07-30 · 8 decks · S17 · DAS · methodology
Soft 18 (A,7) vs dealer 3: the verdict
Basic strategy says double. Against a dealer 3, this hand is strong enough to put double the money on the table.
The numbers
| Action | Win | Push | Lose | EV per $1 |
|---|---|---|---|---|
| Double | 50.5% | 7.8% | 41.6% | +0.178 |
| Stand | 50.9% | 13.0% | 36.1% | +0.148 |
| Hit | 50.4% | 8.2% | 41.4% | +0.090 |
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Why double is correct
Doubling wins almost exactly as often as hitting (50.5% vs 50.4%) — the difference is you have twice the money riding on a favorable spot. Against a dealer 3 (bust chance 37.4%), that extra bet is the whole point: EV +0.178 doubled beats +0.090 hit.
For context, a dealer 3 finishes on 17–20 about 51.1% of the time, on 21 11.5%, and busts 37.4%. Those dealer outcomes are the same no matter what you hold — the whole game is choosing the action whose distribution fits them best.
What the mistake costs
Choosing stand instead of double costs about $73 per 100 such hands at $25 a hand (−0.029 EV per dollar). The genuinely expensive error here is hit: −0.087 per dollar, or roughly $218 per 100 hands at the same stakes.
Does the rule set change it?
No — double holds across every common configuration: Vegas Strip, Atlantic City with late surrender, H17 games and European no-hole-card tables all agree here.
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soft 18 against other dealer cards:
Other key hands vs a dealer 3: