Updated 2026-07-30 · 8 decks · S17 · DAS · methodology

Hard 8 vs dealer 3: the verdict

Q: Hit or stand on hard 8 against a dealer 3?

Basic strategy says Hit. A genuine coin-flip — the gap is under half a cent per $1. Your chance of winning with the best play is about 46.6% (push 7.6%). Full EV math for every action is in the table above.

HIT

Basic strategy says hit. Against a dealer 3, drawing another card carries the best expectation for hard 8.

The numbers

Action	Win	Push	Lose	EV per $1
Hit	46.6%	7.6%	45.8%	+0.008
Double	43.6%	6.0%	50.4%	−0.136
Stand	37.4%	0.0%	62.6%	−0.252

Why hit is correct

Standing here wins only when the dealer busts, and a dealer showing 3 busts just 37.4% of the time — the other 62.6% they make a hand and your total loses on its own. Hitting risks going over, but the math nets out ahead: 46.6% wins versus 37.4% for standing, and a better expected value overall.

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 double instead of hit costs about $361 per 100 such hands at $25 a hand (−0.144 EV per dollar). The genuinely expensive error here is stand: −0.260 per dollar, or roughly $651 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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Related spots

8 against other dealer cards:

vs 2 vs 4 vs 5 vs 6 vs 7 vs 8 vs 9 vs 10 vs Ace

Other key hands vs a dealer 3:

16 vs 3 12 vs 3 15 vs 3 soft 18 vs 3 8,8 vs 3

Frequently asked

Do you hit on 8 against a dealer 3?

Yes — hit is the basic-strategy play for Hard 8 vs 3 (EV +0.008 per $1). Double is the second-best option at −0.136.

What are the odds of winning with 8 vs 3?

Playing it correctly (hit), you win 46.6% of hands, push 7.6% and lose 45.8%.

Is it the same if the dealer hits soft 17?

Yes — under H17 rules the verdict is still hit.

Hit or stand on hard 8 against a dealer 3?

Basic strategy says Hit. A genuine coin-flip — the gap is under half a cent per $1. Your chance of winning with the best play is about 46.6% (push 7.6%). Full EV math for every action is in the table above.