Decision Library

Pair of 3s vs 6

Pair of 3s vs dealer 6 · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Split

You keep a positive expectation of +0.184 per unit here, and splitting beats hitting by 0.192 per unit.

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Deals a pair of 3s against a dealer 6 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
SplitBest+0.184
Hit-0.008-0.192
Stand-0.148-0.332
Double-0.270-0.454
Surrender-0.500-0.684
42.6%
Dealer busts showing 6
0.0%
You bust if you hit

Why splitting

Split a pair of 3s here rather than play the combined total. Each card starts a fresh hand against the 6, and two hands built from this rank do better than one stiff or mediocre total.

Splitting is worth +0.184 per unit; standing pat on the 6 would be -0.148. Playing two hands captures 0.332 more per unit.

The common mistake

Playing a pair of 3s as one hand feels safer, but it wastes the value of starting two hands from this rank. Hitting the combined total instead of splitting costs 0.192 per unit versus the correct splitting. 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)Split
6 decks, hits soft 17Split
Single deck, stands soft 17Split
Double deck, stands soft 17Split
No surrender offeredSplit

The play is stable: split 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.