Decision Library

Hard 14 vs 3

Hard 14 vs dealer 3 · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Stand

The best you can do is hold the loss to -0.247 per unit, and standing beats hitting by 0.101 per unit.

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Deals a hard 14 against a dealer 3 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
StandBest-0.247
Hit-0.349-0.101
Surrender-0.500-0.253
Double-0.697-0.450
37.6%
Dealer busts showing 3
46.3%
You bust if you hit

Why standing

With a hard 14 you already hold a total the dealer has to beat, and the 3 is weak enough that letting the dealer draw is better than risking your own hand. The dealer busts 37.6% of the time showing a 3, while hitting would bust you 46.3% of the time.

Standing is worth -0.247 per unit; the closest alternative, hitting, comes in at -0.349. That 0.101 gap is the price of taking an unnecessary card.

The common mistake

Players hit a hard 14 out of fear of the dealer's 3, but the 3 is exactly why you stand. Hitting costs 0.101 per unit versus the correct standing. 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)Stand
6 decks, hits soft 17Stand
Single deck, stands soft 17Stand
Double deck, stands soft 17Stand
No surrender offeredStand

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

Related decisions

See the full decision chart →

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