Decision Library

Hard 15 vs 10

Hard 15 vs dealer 10 · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Surrender

Every option loses money; -0.500 per unit is the smallest loss, and surrendering beats hitting by 0.005 per unit.

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Deals a hard 15 against a dealer 10 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
SurrenderBest-0.500
Hit-0.505-0.005
Stand-0.541-0.041
Double-1.011-0.511
22.9%
Dealer busts showing 10
53.7%
You bust if you hit

Why surrendering

Hard 15 against a 10 is one of the few hands so bad that giving up half your bet beats playing it out. Surrender locks in a -0.500 result. Every other option here does worse than that.

The best you could do by playing is hitting at -0.505 per unit, which is 0.005 worse than the half-bet you keep by surrendering.

The common mistake

Surrender feels like quitting, so players refuse it and play the hand out. Against a 10 that refusal is expensive. Standing and playing it out costs 0.041 per unit versus the correct surrendering. 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)Surrender
6 decks, hits soft 17Surrender
Single deck, stands soft 17Surrender
Double deck, stands soft 17Surrender
No surrender offeredHit changes

The correct play changes under: No surrender offered. Everywhere else, surrender holds. Use the row that matches your table.

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