Updated 2026-07-22 · 8 decks · S17 · DAS · methodology
Hard 9 vs dealer 10: the verdict
The verdict is hit. Against a dealer 10, drawing another card carries the best expectation for hard 9.
The numbers
| Action | Win | Push | Lose | EV per $1 |
|---|---|---|---|---|
| Hit | 36.4% | 11.8% | 51.7% | −0.153 |
| Double | 34.1% | 8.4% | 57.5% | −0.467 |
| Stand | 23.0% | 0.0% | 77.0% | −0.540 |
Why hit is correct
Standing here wins only when the dealer busts, and a dealer showing 10 busts just 23.0% of the time — the other 77.0% they make a hand and your total loses on its own. Hitting risks going over, but the math nets out ahead: 36.4% wins versus 23.0% for standing, and a better expected value overall.
For context, a dealer 10 finishes on 17–20 about 73.3% of the time, on 21 3.7%, and busts 23.0%. 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 double instead of hit costs about $784 per 100 such hands at $25 a hand (−0.314 EV per dollar). The genuinely expensive error here is stand: −0.387 per dollar, or roughly $969 per 100 hands at the same stakes.
Does the rule set change it?
No — hit 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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9 against other dealer cards:
Other key hands vs a dealer 10: