Soft 16 against a dealer 3

Correct play
Hit
Better than double by
1.63%
Your expected return
0.9%

This is one of the closest decisions in blackjack. Hit is correct, but it beats double by 1.63% of your bet — and of the 350 hand-versus-upcard spots on the chart, only 14 are closer.

Every option, ranked

ActionExpected returnCost vs. best
Hitcorrect0.91%—
Double-0.72%−1.63%
Stand-25.23%−26.14%

Expected return per unit staked, from an exact recursive engine rather than a copied chart. Figures are for Dealer Stands on Soft 17, DAS, pays 3:2. Actions not shown are not legal here.

The house rules do not change it

For all the argument this hand attracts, the answer is stable: every one of the 6 rule sets modelled gives the same correct play. What changes is how much it costs you, not what to do.

S17 · 3:2Hit0.9%
H17 · 3:2Hit1.0%
S17 · SurrenderHit0.9%
S17 · No DASHit0.9%
S17 · No PeekHit0.9%
S17 · 6:5Hit0.9%

Why it is close

Standing hands the hand to a dealer showing 3, who — having already checked and not got blackjack — busts 37.4% of the time. Two bad numbers close together is the whole story — the decision is a choice between them, and neither rescues the hand. The bust odds page has both curves in full.

What the count does to this

Hit is correct at a neutral shoe, but not at every shoe. The two actions are worth exactly the same at a Hi-Lo true count of +4.11, so past that point double is the better play — a deviation conventionally written as an index of +4.

Where that number comes from, and what one card of each rank is actually worth, is on the card counting page.

Other hands worth arguing about

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