Updated 2026-07-22 ยท 8 decks ยท S17 ยท DAS ยท methodology
Hard 18 vs dealer 4: the verdict
The math is in: stand. Against a dealer 4, hard 18 does best by letting the dealer take the risk of busting.
The numbers
| Action | Win | Push | Lose | EV per $1 |
|---|---|---|---|---|
| Stand | 52.5% | 12.6% | 34.9% | +0.176 |
| Hit | 17.8% | 2.7% | 79.5% | โ0.617 |
| Double | 17.8% | 2.7% | 79.5% | โ1.235 |
Why stand is correct
A dealer showing 4 busts 39.4% of the time, and that bust chance is doing the work here: standing wins 52.5% of hands without ever risking your own bust. Drawing a card would improve the total sometimes, but the bust risk and the hands youโd ruin cost more than they gain.
For context, a dealer 4 finishes on 17โ20 about 49.4% of the time, on 21 11.1%, and busts 39.4%. Those dealer outcomes are the same no matter what you hold โ the whole game is choosing the action whose distribution fits them best.
What the mistake costs
Choosing hit instead of stand costs about $1983 per 100 such hands at $25 a hand (โ0.793 EV per dollar). The genuinely expensive error here is double: โ1.411 per dollar, or roughly $3527 per 100 hands at the same stakes.
Does the rule set change it?
No โ stand 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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18 against other dealer cards:
Other key hands vs a dealer 4: