Decision Library

Pair of 4s vs 4

Pair of 4s vs dealer 4 · six decks · dealer stands on soft 17 · double after split allowed

Correct play

Hit

You keep a positive expectation of +0.048 per unit here, and hitting beats splitting by 0.041 per unit.

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Deals a pair of 4s against a dealer 4 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+0.048
Split+0.007-0.041
Double-0.049-0.097
Stand-0.202-0.250
Surrender-0.500-0.548
39.9%
Dealer busts showing 4
0.0%
You bust if you hit

Why hitting

Pair of 4s is too low to leave alone against a 4. 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 +0.048 per unit versus -0.202 for standing, a +0.250 swing in favor of taking the card.

The common mistake

It is tempting to stand on 8 and hope the dealer busts, but against a 4 that hope is too thin. Standing costs 0.250 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 17Split changes
Double deck, stands soft 17Hit
No surrender offeredHit

The correct play changes under: Single deck, stands soft 17. Everywhere else, hit 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.