Updated 2026-07-22 · 8 decks · S17 · DAS · methodology
3,3 (pair of 3s) vs dealer 10: the verdict
The math is in: hit. Against a dealer 10, drawing another card carries the best expectation for 3,3 (pair of 3s).
The numbers
| Action | Win | Push | Lose | EV per $1 |
|---|---|---|---|---|
| Hit | 28.8% | 8.6% | 62.6% | −0.338 |
| Split* | 31.9% | 9.4% | 58.7% | −0.521 |
| Stand | 23.0% | 0.0% | 77.0% | −0.540 |
| Double | 23.0% | 0.9% | 76.1% | −1.062 |
* win/push/lose shown per split hand; EV covers both hands per one initial bet.
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: 28.8% 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 split instead of hit costs about $459 per 100 such hands at $25 a hand (−0.184 EV per dollar). The genuinely expensive error here is double: −0.725 per dollar, or roughly $1811 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.
🎁 Blackjack Welcome Bonus — 500% + 70 FS18+ · New players · First deposit · T&C apply · Play responsibly Get this verdict at the table in one tap.Free Telegram mini-app: instant verdicts, drill trainer and rule-aware charts — no install, opens right in chat.Related spots
3,3 against other dealer cards:
Other key hands vs a dealer 10: