Decision Library

Hard 10 vs Ace

Hard 10 vs dealer Ace · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Hit

You keep a positive expectation of +0.080 per unit here, and hitting beats doubling by 0.090 per unit.

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Deals a hard 10 against a dealer ace in the trainer, graded live.

Expected value of every option

Per unit bet, six decks, dealer stands on soft 17, computed by the engine.

OptionEV / unitvs. best
HitBest+0.080
Double-0.010-0.090
Surrender-0.500-0.580
Stand-0.663-0.744
16.8%
Dealer busts showing Ace
0.0%
You bust if you hit

Why hitting

Hard 10 is too low to leave alone against a ace. Standing surrenders the hand to a dealer who reaches a pat total most of the time, so you take the card. Your bust risk on the hit is 0.0%, and against this upcard that risk is worth accepting.

Hitting returns +0.080 per unit versus -0.663 for standing, a +0.744 swing in favor of taking the card.

The common mistake

It is tempting to stand on 10 and hope the dealer busts, but against a ace that hope is too thin. Standing costs 0.744 per unit versus the correct hitting. Over a few hundred of these hands, that is real money handed back.

How rules change the play

Same hand, different table conditions. The correct play holds unless noted.

Table conditionCorrect play
6 decks, stands soft 17 (baseline)Hit
6 decks, hits soft 17Hit
Single deck, stands soft 17Hit
Double deck, stands soft 17Hit
No surrender offeredHit

The play is stable: hit is correct across deck counts, the soft-17 rule, and whether or not surrender is offered.

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Strategy and expected values from a combinatorial engine validated against Wizard of Odds.