Decision Library

Hard 11 vs 2

Hard 11 vs dealer 2 · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Double

You keep a positive expectation of +0.484 per unit here, and doubling beats hitting by 0.240 per unit.

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Deals a hard 11 against a dealer 2 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
DoubleBest+0.484
Hit+0.245-0.240
Stand-0.287-0.772
Surrender-0.500-0.984
35.6%
Dealer busts showing 2
0.0%
You bust if you hit

Why doubling

Hard 11 against a 2 is a doubling hand: you are a favorite to improve to a strong total on one card, and the dealer's 2 is weak enough that putting more money out is worth it.

Doubling returns +0.484 per unit against +0.245 for a plain hit. The extra 0.240 is the value of the doubled bet on a hand where you expect to win more often than not.

The common mistake

Hitting wins the hand often enough that players forget to put the extra bet out. Skipping the double leaves money on the table. Just hitting instead of doubling costs 0.240 per unit versus the correct doubling. 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)Double
6 decks, hits soft 17Double
Single deck, stands soft 17Double
Double deck, stands soft 17Double
No surrender offeredDouble

The play is stable: double 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.