Updated 2026-07-22 · 8 decks · S17 · DAS · methodology
7,7 (pair of 7s) vs dealer 10: the verdict
Basic strategy says hit. Against a dealer 10, drawing another card carries the best expectation for 7,7 (pair of 7s).
The numbers
| Action | Win | Push | Lose | EV per $1 |
|---|---|---|---|---|
| Hit | 23.2% | 6.9% | 69.9% | −0.466 |
| Stand | 23.0% | 0.0% | 77.0% | −0.540 |
| Split* | 28.9% | 10.0% | 61.1% | −0.629 |
| Double | 23.6% | 5.9% | 70.5% | −0.938 |
* 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: 23.2% 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 stand instead of hit costs about $185 per 100 such hands at $25 a hand (−0.074 EV per dollar). The genuinely expensive error here is double: −0.472 per dollar, or roughly $1180 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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7,7 against other dealer cards:
Other key hands vs a dealer 10: