Hard 16 against a dealer 10

Correct play
Hit
Better than stand by
0.06%
Your expected return
-54.0%

This is one of the closest decisions in blackjack. Hit is correct, but it beats stand by 0.06% of your bet — and nothing else on the chart is closer, out of all 350 hand-versus-upcard spots.

Worth being blunt about what that expected return means: at -54.0%, you lose money on this hand in the long run whatever you do. Playing it correctly does not make it a good spot — it makes it a 0.06% less bad one. The choice is between two losing options, which is exactly why it gets argued about.

Every option, ranked

ActionExpected returnCost vs. best
Hitcorrect-53.98%—
Stand-54.04%−0.06%
Double-107.97%−53.99%

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.

It genuinely depends on the house rules

“It depends” is usually a dodge. Here it is literally true: under 1 of the 6 rule sets modelled, the correct play is something other than hit.

S17 · 3:2Hit-54.0%
H17 · 3:2Hit-54.0%
S17 · SurrenderSurrender-50.0%
S17 · No DASHit-54.0%
S17 · No PeekHit-54.0%
S17 · 6:5Hit-54.0%

Why it is close

Taking a card on hard 16 busts you 61.54% of the time. Standing hands the hand to a dealer showing 10, who — having already checked and not got blackjack — busts 23.0% 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 +0.44, so past that point stand is the better play — a deviation conventionally written as an index of 0.

This one is on Schlesinger’s Illustrious 18, the deviations that return the most to a counter, where it carries an index of 0 — the same number this engine arrives at independently.

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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