The hands worth arguing about

Every blackjack table has the same arguments, and they are always about the same handful of hands. It turns out that is not a coincidence: the spots people argue over are, almost exactly, the spots where the correct play barely wins.

Decisions in doubt
31
Out of
350 spots
Closest call
0.06%

A hand-versus-upcard spot is on this list for one of two reasons, both measured rather than chosen: the correct play beats the runner-up by less than 2% of your bet, or the correct play actually changes across the 6 rule sets modelled here. The other 319 spots are not close and not contested — Hard 20 vs 8 is decided by 1.64 times your bet, which is not an argument, it is arithmetic.

Ranked by how little the right answer is worth

HandCorrectMargin over runner-upYour return
Hard 16 v 10rules decide itHit0.06%-54.0%
Soft 15 v 4rules decide itHit0.09%5.9%
Soft 18 v 2rules decide itStand0.20%12.2%
Hard 12 v 4Stand0.24%-21.1%
Pair of 3s v 2rules decide itSplit0.26%-13.8%
Soft 17 v 2Hit0.65%-0.1%
Soft 18 v AceHit0.73%-9.3%
Soft 13 v 5Hit0.74%13.3%
Pair of 4s v 5rules decide itSplit0.95%8.0%
Pair of 3s v 8Hit1.25%-21.7%
Hard 9 v 2Hit1.33%7.4%
Soft 14 v 5Double1.41%12.6%
Pair of 2s v 8Hit1.48%-15.9%
Hard 13 v 2Stand1.50%-29.3%
Soft 16 v 3Hit1.63%0.9%
Soft 19 v 6rules decide itStand1.64%49.6%
Hard 12 v 6Stand1.68%-15.4%
Pair of 7s v 8Hit1.71%-37.2%
Soft 13 v 6Double1.80%18.0%
Soft 16 v 4Double1.84%5.8%
Hard 12 v 3Hit1.86%-23.4%
Hard 9 v 3Double1.95%12.1%
Pair of 2s v 2rules decide itSplit2.60%-8.9%
Pair of 4s v 6rules decide itSplit3.10%14.6%
Hard 16 v 9rules decide itHit3.38%-50.9%
Hard 11 v Acerules decide itHit3.39%14.3%
Pair of 6s v 2rules decide itSplit3.48%-21.9%
Hard 15 v 10rules decide itHit3.60%-50.4%
Pair of 3s v 3rules decide itSplit4.34%-6.4%
Pair of 2s v 3rules decide itSplit5.70%-2.6%
Hard 16 v Acerules decide itHit14.99%-51.7%

Margins are expected return per unit staked, under S17 / DAS / 3:2. A margin of 0.06% means playing the “wrong” way costs you that much of your bet, on average, every time the situation comes up.

Famous hands that are not actually close

These get argued about too, and they should not. Each one has a reputation for being a hard call and none of them is — the gap is wide enough that the decision is settled.

Pair of 8s v 10

Splitting 8s against a ten looks like throwing good money after bad.

Split
by 5.03% over hit
Pair of 10s v 6

Splitting tens against a weak dealer is the classic greedy play.

Stand
by 12.84% over split
Pair of Aces v Ace

Splitting aces into an ace feels like asking for trouble.

Split
by 12.96% over hit
Hard 11 v 6

Doubling 11 is the one every table agrees on — and it is agreed on for a reason.

Double
by 33.37% over hit
What a small margin does and does not mean. It does not mean the play is optional. Over a long session the correct play is still the correct play, and giving away 0.06% every time a hand comes up is how a house edge gets paid.What it does mean is that these are the hands where a bad beat proves nothing. Hitting a hard 16 against a ten loses most of the time; so does standing. If someone at the table tells you their way works, what they have is a sample size, not a strategy — and the gap they are defending is smaller than they think.

A close call is a call the shoe can take away

There is a second way to measure how contested a hand is, and it agrees with this one. Work out the Hi-Lo true count at which each of these decisions reverses, and rank the hands by how far the count has to move — that order matches the margin order above at a Spearman correlation of 0.76. The narrower basic strategy’s win, the thinner the shoe has to get before it stops being right at all. Hard 16 against a ten, tightest on this page, reverses 0.44 of a true count from neutral — near enough to even that an ordinary shoe crosses it constantly. The card counting page has the crossover for every hand here.

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