Basic Strategy Chart and Guide

The complete chart in one place, then every part of it explained: hard totals, soft totals, pairs, doubling and standing, for 4-8 deck, dealer-stands-on-soft-17 games.

HARD TOTALS: rows = your total, columns = dealer's upcard.

Hand2345678910A
Hard 8HitHitHitHitHitHitHitHitHitHit
Hard 9HitDoubleDoubleDoubleDoubleHitHitHitHitHit
Hard 10DoubleDoubleDoubleDoubleDoubleDoubleDoubleDoubleHitHit
Hard 11DoubleDoubleDoubleDoubleDoubleDoubleDoubleDoubleDoubleHit
Hard 12HitHitStandStandStandHitHitHitHitHit
Hard 13StandStandStandStandStandHitHitHitHitHit
Hard 14StandStandStandStandStandHitHitHitHitHit
Hard 15StandStandStandStandStandHitHitHitHitHit
Hard 16StandStandStandStandStandHitHitHitHitHit
Hard 17+StandStandStandStandStandStandStandStandStandStand
Hit Stand Double Split

SOFT TOTALS (Ace counted as 11): rows = your total, columns = dealer's upcard.

Hand2345678910A
Soft 13HitHitHitDoubleDoubleHitHitHitHitHit
Soft 14HitHitHitDoubleDoubleHitHitHitHitHit
Soft 15HitHitDoubleDoubleDoubleHitHitHitHitHit
Soft 16HitHitDoubleDoubleDoubleHitHitHitHitHit
Soft 17HitDoubleDoubleDoubleDoubleHitHitHitHitHit
Soft 18StandDoubleDoubleDoubleDoubleStandStandHitHitHit
Soft 19StandStandStandStandStandStandStandStandStandStand
Soft 20StandStandStandStandStandStandStandStandStandStand
Hit Stand Double Split

PAIRS: rows = your pair, columns = dealer's upcard. DAS (double after split) assumed.

Hand2345678910A
2,2SplitSplitSplitSplitSplitSplitHitHitHitHit
3,3SplitSplitSplitSplitSplitSplitHitHitHitHit
4,4HitHitHitSplitSplitHitHitHitHitHit
5,5DoubleDoubleDoubleDoubleDoubleDoubleDoubleDoubleHitHit
6,6SplitSplitSplitSplitSplitHitHitHitHitHit
7,7SplitSplitSplitSplitSplitSplitHitHitHitHit
8,8SplitSplitSplitSplitSplitSplitSplitSplitSplitSplit
9,9SplitSplitSplitSplitSplitStandSplitSplitStandStand
10,10StandStandStandStandStandStandStandStandStandStand
A,ASplitSplitSplitSplitSplitSplitSplitSplitSplitSplit
Hit Stand Double Split

Rules this chart assumes

4-8 decks, dealer stands on soft 17 (S17), double after split allowed (DAS), no surrender. This is the most common rule set at US casinos. If your table offers surrender or hits soft 17, a small number of plays change.

Hard totals

Hard Hands Are Decided by the Dealer's Card, Not Yours

The single most useful mental shift in blackjack is to stop asking "is my hand good" and start asking "is the dealer likely to bust." Once you make that switch, most of the hard-total chart stops needing memorization, because it follows from one fact about how the dealer plays.

The dealer has no choices. They must hit until reaching 17, then stop. That rigidity is what makes their behaviour predictable, and it splits their upcards cleanly into two groups.

Upcards 2 through 6 are weak. A dealer showing one of these has to draw at least one more card, often two, and the chance of busting sits somewhere in the range of 35 to 42 percent, rising as the upcard rises from 2 to 5 and 6. Against these cards you are not trying to build a good hand. You are trying to stay alive and let the dealer break.

Upcards 7 through Ace are strong. Here the dealer busts far less, roughly one time in four or fewer, and often makes a total in the high teens or twenties. Against these cards, staying alive is not enough. You have to build a real hand, which means hitting totals that would be suicide against a weak dealer.

Every line in the hard-total chart is that one distinction applied at different totals.

Twelve Through Sixteen: the Only Genuinely Hard Decisions

Below 12, you cannot bust, so you always hit. At 17 and above, hitting busts you more often than it helps, so you always stand. Everything interesting happens in the five totals between.

These hands are called stiff hands, and they share an unpleasant property: they are bad enough that standing usually loses, and fragile enough that hitting often busts. There is no good play available. Basic strategy is choosing the less bad one, and the answer depends entirely on which group the dealer's upcard falls into.

Against a weak upcard, 2 through 6, you stand on 13 through 16 and let the dealer take the risk. Against a strong upcard, 7 through Ace, you hit all of them, accepting that you will bust a lot, because standing on 15 against a dealer 10 loses even more often.

Hard 12 is the exception that trips people up. Against a dealer 2 or 3 you hit, even though those are weak upcards. The reason is that 12 busts on any ten-value card, which is about 30 percent of the deck, but the dealer showing a 2 or a 3 busts less often than one showing a 4, 5, or 6. The margin swings just far enough to make hitting correct. Against 4, 5, and 6 you stand on 12.

Ten and Eleven Are the Best Hands You Can Be Dealt

Not because they are high, but because they are the totals where one card is most likely to produce something excellent and least likely to produce something bad.

Sixteen of the fifty-two ranks in a deck are worth ten. That is a little over 30 percent, and it means a hand of 11 turns into 21 roughly three times in ten, with nearly all the remaining outcomes landing in the high teens or low twenties. Ten does almost as well.

That is why these are the two totals that double across nearly the whole chart: 11 against everything up to a dealer 10, and 10 against everything up to a dealer 9. Everything else in the hard section either hits or stands. Doubling a hard 8 or lower is never correct, and doubling any total of 12 or higher is never correct.

Hard 9 is the marginal double, correct only against a dealer 3 through 6, and it is the one place in the hard chart where the decision is close enough that getting it wrong costs very little.

Seventeen and Up Always Stands, and Why That Feels Wrong

Standing on hard 17 against a dealer 10 loses more often than it wins, and players hate it. The instinct is that since you are probably losing anyway, you should try to improve.

The arithmetic disagrees. Hitting a 17 busts you on any card from 5 upward, which is the majority of the deck. You would be converting a hand that loses most of the time into a hand that loses almost all of the time. Basic strategy is not about winning every hand. It is about losing the least across thousands of hands, and standing on 17 loses less.

The same logic explains why the chart never surrenders its worst hands into an even worse spot. When every option is bad, the correct play is the one that is bad by the smallest margin, and that is frequently the passive one.

The Rules That Change the Hard Chart

The chart above assumes a multi-deck shoe with the dealer standing on soft 17. Two variations matter here.

Dealer hits soft 17. The dealer gets slightly stronger, and a handful of marginal hard decisions shift. The best known is that doubling hard 11 against a dealer Ace becomes correct.

Surrender. Where late surrender is offered, you can give up half your bet instead of playing a hopeless hand. It is correct on a very small number of hands, most famously hard 16 against a dealer 9, 10, or Ace, and hard 15 against a 10. If your table offers it and you never use it, you are leaving a small amount of money on the table; if you use it anywhere else, you are giving money away.

One thing worth stating plainly: basic strategy played perfectly still leaves the house an edge of roughly half a percent under good rules. It slows the bleed and makes the game more interesting. It does not make blackjack a winning proposition. Decide what you are willing to lose before you sit down, and stop there.

Soft totals (hands with an ace)

A Soft Hand Is a Hand You Cannot Lose on the Next Card

That is the whole idea, and it is worth stating that bluntly because most of the confusion around soft hands comes from thinking of them as ordinary totals that happen to contain an Ace.

An Ace counts as one or eleven, whichever helps. So a hand of Ace and 6 is worth 17 or 7, and you get to pick after you see the next card. Draw a ten and the hand is 17. Draw a 9 and it is 16. Draw a 4 and it is 21. There is no card in the deck that busts you, which means the downside of taking another card is not losing the hand. It is only ending up with a worse total.

Once you see that, the entire soft-hand section of basic strategy becomes obvious. Every hand where hitting cannot hurt you should usually be hit, and the only question is whether you should double instead.

The moment a soft hand takes a card that pushes the eleven-value Ace down to one, it becomes a hard hand and plays by hard-hand rules from then on. Ace-6-9 is a hard 16, not a soft anything, and it should be played exactly like a 10 and a 6.

Why Soft 18 Is the Hardest Hand at the Table

Ace and 7 is the hand that separates players who have memorized a chart from players who understand it, because it does all three things depending on the upcard: it doubles, it stands, and it hits.

Against a dealer 3, 4, 5, or 6, you double. The dealer is in the range where they bust roughly 37 to 42 percent of the time, and the correct response to a weak dealer is more money on the table, not a better hand.

Against a dealer 2, 7, or 8, you stand. Eighteen is a decent total, and against those upcards it is good enough often enough that trying to improve costs more than it gains. A dealer showing a 7 will very frequently finish on 17, which 18 beats.

Against a dealer 9, 10, or Ace, you hit. This is the play that makes people uncomfortable and it is the most clearly correct one on the whole page. Against a strong upcard, 18 is a losing hand more often than it is a winning one, and because you cannot bust, hitting is free. You are trading a probable loss for a chance at 19, 20, or 21 at no risk of an immediate bust.

If you learn one thing from this page, learn that hitting soft 18 against a 9, 10, or Ace is correct. It is the single most commonly misplayed hand in casual blackjack.

The Soft Doubles Are About the Dealer, Not About You

Look at where the soft doubles sit in the chart and one pattern jumps out: they all cluster against dealer upcards 3 through 6, and the weaker your soft total, the narrower the window.

Soft 13 and soft 14 double only against 5 and 6. Soft 15 and soft 16 double against 4 through 6. Soft 17 and soft 18 double against 3 through 6.

Nothing about that pattern is driven by your hand improving. Ace and 2 is not a good hand. It is doubled against a 5 because a dealer showing a 5 is in trouble, and money on the table against a dealer in trouble is money well spent. The reason the window widens as your total rises is simply that a stronger starting hand can afford to take the risk against a slightly less weak dealer.

If your table restricts doubling to totals of 9, 10, and 11, every soft double in the chart becomes a plain hit. That is the correct fallback, and it costs only a small fraction of a percent.

Soft 19 and 20 Are Already Done

Ace-8 and Ace-9 stand against everything in the standard chart. Nineteen and twenty are strong enough that any attempt to improve them loses more than it gains, and doubling would surrender your right to keep hitting for a hand that does not need it.

There is one variation worth knowing. At tables where the dealer hits soft 17, doubling soft 19 against a dealer 6 becomes correct. It is a genuinely marginal play and it exists only because the dealer hitting soft 17 makes a 6 upcard slightly more likely to bust. If you are not sure which rule your table uses, standing on soft 19 is close enough that the difference will not be what decides your session.

How Players Actually Lose Money on Soft Hands

Treating a soft total as a hard total. Standing on soft 17 because seventeen sounds respectable is the classic error. Soft 17 never stands in basic strategy against any upcard. It either doubles or hits, every single time. Standing on it is strictly worse than hitting because hitting cannot bust you.

Forgetting the hand went hard. Ace-5-9 is a hard 15. Players who mentally hold on to the Ace as an eleven keep hitting a hand that can now bust them.

Missing the soft double because it looks weak. Doubling Ace-2 against a 5 feels absurd and is correct.

Standing on soft 18 against a 10. Eighteen feels like a made hand and against a ten-value upcard it usually is not.

A closing note that is not about strategy. Basic strategy played perfectly still leaves the house with an edge of roughly half a percent under good rules. It makes your money last longer and makes the game more interesting; it does not make blackjack profitable. Play with money you can afford to lose, set a limit before you sit down, and stop when you reach it.

Pairs: when to split

Splitting Is How You Turn One Bad Hand Into Two Playable Ones

When you split a pair, you separate the two cards into two hands, match your original bet on the second one, and play each independently. That means splitting always costs money up front, which is why it is only correct when the two new hands are meaningfully better than the one you started with.

Sometimes that improvement is enormous. A pair of 8s is a hard 16, the worst total in blackjack. Split it and you have two hands starting at 8, which is a perfectly reasonable place to be. You have converted one hopeless hand into two ordinary ones.

Sometimes it is the reverse. A pair of 10s is a 20, which is the second-best hand you can hold. Split it and you have two hands starting at 10, each of which will usually finish worse than the 20 you gave up. That is why the chart never splits tens, no matter how weak the dealer looks.

Everything else on the chart sits between those two poles, and the deciding factor is almost always the dealer's upcard.

The Two Rules You Can Memorize in Ten Seconds

Always split Aces and 8s. Against every dealer upcard, without exception, in every common rule set.

Aces are obvious once you see it. A pair of Aces played as one hand is a soft 12, which is close to worthless. Split, each Ace becomes the start of a hand where any ten-value card makes 21, and roughly 30 percent of the deck is ten-value. You are turning the worst use of two Aces into the best.

Eights are the counterintuitive one, and they are the more important of the two. Sixteen is the worst total in the game: too weak to stand with, too fragile to hit. Two hands of 8 are not good, but they are not 16 either. Against a dealer 9, 10, or Ace this still loses money, and it loses less money than playing the 16. That is the whole argument. Basic strategy is frequently about losing less, not about winning.

Never split 10s or 5s. Also without exception. Twenty is a great hand and you should not dismantle it. A pair of 5s is a hard 10, one of the best doubling totals in the game, and splitting it into two hands starting at 5 throws that away.

Those four ranks, Aces, 8s, 10s, and 5s, cover the decisions people get wrong most often, and they require no reference to the dealer's card at all.

The Pairs That Depend on the Dealer

The rest of the chart follows the same weak-versus-strong logic that governs hard totals. Dealer upcards 2 through 6 are weak, busting somewhere in the range of 35 to 42 percent of the time. Upcards 7 through Ace are strong.

2s, 3s, and 7s split against the weak upcards and against a dealer 7, and hit otherwise. The dealer 7 inclusion is worth noting: a 7 is technically a strong upcard, but it most often finishes on 17, which two mediocre hands have a reasonable chance of beating.

6s split against 2 through 6. A pair of 6s is a 12, a stiff hand you do not want, and against a bust-prone dealer two hands of 6 are better than one 12.

9s split against 2 through 6 and against 8 and 9, but stand against 7, 10, and Ace. That gap at 7 surprises people. The reason is that 18 beats the 17 a dealer 7 most often makes, so you keep the made hand. Against an 8 or a 9, 18 is no longer good enough, so you split and try to build two better hands.

4s split only against a dealer 5 and 6, and only where doubling after a split is allowed. A pair of 4s is an 8, which is not a hand worth protecting, but two hands starting at 4 are not much better, so the split needs the dealer to be at their weakest to be worth it.

The House Rules That Change Everything

Double after split. This is the single most important splitting rule. When the house lets you double a hand you created by splitting, splitting becomes considerably more valuable, because a split hand that lands on a 10 or 11 can capitalize on it. Where this rule is absent, several splits in the chart, notably 4s and some of the 2s and 3s, become plain hits.

Resplitting. Most casinos allow you to split again if you draw a third card of the same rank, usually up to three or four hands total. This is a small benefit and it is worth taking when the original split was correct.

Split Aces receive one card only. This is nearly universal and it is the one restriction that matters. Each split Ace gets exactly one card and then the hand is finished, even if that card is a 2. Splitting Aces is still correct anyway, which tells you how bad a soft 12 is.

A split Ace plus a ten is not a blackjack. It counts as an ordinary 21 and pays even money rather than 3 to 2. Do not let that discourage the split; the math already accounts for it.

Where Money Actually Gets Lost

The two costly errors are opposites and they are both driven by feel rather than math. Refusing to split 8s against a strong dealer, because putting a second bet out against a 10 feels reckless. And splitting 10s against a weak dealer, because two shots at a good hand feels better than one great hand. The first is understandable and wrong; the second is the more expensive of the two.

A closing note. Basic strategy played perfectly still leaves the house with an edge of roughly half a percent under good rules. It makes your money last longer and the game more interesting. It does not make blackjack profitable. Decide what you are willing to lose before you sit down, and stop when you reach it.

When to double down

Doubling Is the Only Bet in Blackjack You Choose to Make

Everything else at the table is a decision about cards. Doubling is a decision about money. You are putting a second full bet on the table in exchange for exactly one more card and no further options, and that trade is only worth making when two things are true at once: your hand is likely to finish strong, and the dealer is likely to finish weak.

Both halves matter, and the chart above shows it. Hard 11 doubles against almost every upcard because the hand itself is overwhelmingly strong: any ten-value card makes 21, and there are more ten-value cards in a deck than any other rank. Soft 13 doubles only against a 5 or a 6, because the hand is not strong at all. What makes that double correct is entirely the dealer's weakness.

Players who understand only the first half double their good hands and miss the soft doubles. Players who understand only the second half double too often against small upcards. The chart encodes both.

Why 10 and 11 Carry the Whole Hard-Total Section

Look at the hard totals in the chart and notice how little there is. Nine doubles against 3 through 6. Ten doubles against 2 through 9. Eleven doubles against 2 through 10. Nothing else doubles at all.

The reason is the ten-count. Sixteen of the fifty-two ranks in a deck are worth ten: the tens, jacks, queens, and kings. That is a little over 30 percent of the deck. When you hold 11, roughly three cards in ten give you 21, and nearly all the rest still leave you with a total in the high teens or low twenties.

Ten is nearly as good and misses one upcard, the dealer 10, because a dealer showing a ten-value card is strong enough that you would rather keep the option to hit again if your one card comes small.

Nine is the marginal case. It doubles only when the dealer is showing a card that busts often, and even then it is one of the closer calls on the chart. Doubling a hard 8 or lower is never correct at any upcard, and it is one of the most common ways casual players give away money while feeling aggressive.

Soft Doubles Are Not About Reaching 21

This is the part almost everyone gets wrong. When you double a soft 17, an Ace and a 6, you are not trying to make 21. You are unlikely to. What you are doing is putting more money on the table at a moment when the dealer is likely to bust.

The whole soft-double section of the chart lives against dealer 3 through 6, and that is not a coincidence. Those are the upcards where the dealer busts most often, somewhere in the range of 37 to 42 percent depending on the exact card and the house rules. Against a bust-prone dealer, the size of your bet matters more than the strength of your hand, because a large share of the time you win simply by still being in the hand.

There is a second benefit that is easy to miss. Doubling a soft hand cannot bust you. An Ace counts as one or eleven, so a soft 17 that draws a ten becomes a hard 17, not a bust. You are risking a worse total, never an automatic loss.

The trade-off is that you give up the right to keep hitting. That is why soft 19 and soft 20 do not double in the standard chart: those hands are already strong enough that finishing with one card is worse than standing.

The Rules That Change These Answers

The chart above assumes a multi-deck shoe, the dealer standing on soft 17, and doubling permitted on any two cards. Real tables vary, and three variations move the doubling decisions specifically.

Restricted doubling. Some tables only allow doubling on totals of 9, 10, and 11, and a few only on 10 and 11. Where doubling is restricted, every soft double in the chart simply becomes a hit. Nothing else changes, and the rule costs you a small fraction of a percent in house edge.

Dealer hits soft 17. When the dealer draws on a soft 17 rather than standing, the dealer gets stronger and several marginal doubles change. The best-known shift is that doubling a hard 11 against a dealer Ace becomes correct rather than a hit.

Double after split. If the house allows you to double after splitting a pair, several splits become correct that otherwise are not, because the split hands can be doubled when they land well. This is why the chart's pair section and its doubling section have to be read together.

Check the felt before you sit down. The rules are printed on it, and they are worth more than any playing decision you will make in the next hour.

The Mistakes That Cost the Most

Not doubling 11 against a 10. It feels wrong to put more money out against a strong upcard. The math says do it anyway: your hand is strong enough that the extra bet is profitable even though you will lose it a good share of the time.

Doubling any total of 12 or higher. A single card can bust you, and you forfeit the right to stop. This is never correct in basic strategy at any total above 11.

Skipping the soft doubles because they feel silly. Doubling on Ace-2 against a dealer 5 looks like throwing money away. It is one of the clearest positive-expectation moments in the entire game, precisely because it is the dealer who is in trouble, not you.

Doubling for less. Many casinos let you double for less than your original bet. Basic strategy assumes a full double, and doubling for less gives up most of the edge the play exists to capture. If a double is correct, double the whole bet or hit instead.

One thing worth saying plainly: basic strategy, played perfectly, still leaves the house with an edge of roughly half a percent under good rules. It reduces the cost of playing; it does not turn blackjack into a winning proposition. Play with money you can afford to lose, and treat the chart as a way to make the entertainment last longer rather than a system.

When to stand

Standing Is a Bet That the Dealer Will Break

Every time you stand on a total below 17, you are not saying your hand is good. You are saying you would rather take your chances on the dealer busting than on the next card busting you. That framing makes the chart above legible, because the whole thing is a comparison between two risks.

The dealer's risk is fixed and knowable. They must draw until they reach 17 and then stop, with no discretion at all. Your risk changes with every card you take. Basic strategy stands whenever your risk of busting exceeds the value of trying to improve, given how likely the dealer is to break.

That is why the standing decisions cluster so heavily against dealer upcards 2 through 6. Those are the cards where the dealer must draw and is most likely to go over, roughly 35 to 42 percent of the time depending on the card and the house rules. Against 7 through Ace the dealer busts far less, closer to one time in four or fewer, and standing on a weak total stops being worth it.

The Bust Numbers, and How to Use Them

Exact dealer bust percentages shift with the number of decks and with whether the dealer hits soft 17, so treat these as the shape rather than as precise figures. The shape is what matters and it is stable across every rule set.

A dealer showing a 2 busts least often of the weak cards, somewhere around a third of the time. The rate climbs through 3 and 4 and peaks at 5 and 6, where it sits in the low forties. Then it falls off a cliff: a 7 busts around a quarter of the time, and 8, 9, and 10 progressively less. An Ace is the strongest upcard of all.

Two practical consequences follow. First, 5 and 6 are the upcards where passive play pays best, which is why the chart stands on everything from 12 upward against them. Second, the gap between a dealer 6 and a dealer 7 is the largest single jump in the game. The same hand of 14 stands against a 6 and hits against a 7, and that is not an arbitrary line. It is the point where the dealer stops being likely to self-destruct.

Standing on 16 Against a 10 Is Correct and It Still Loses

This is the hand people argue about most, so it is worth being precise about what basic strategy is claiming.

Hard 16 against a dealer 10 is a losing hand either way. Standing loses. Hitting loses. The two options are close enough that the correct answer flips depending on how your 16 is built and on the exact house rules, and the total difference between them is small.

The standard chart says hit, because hitting loses very slightly less often across the full range of situations. But if your table offers surrender, surrendering is better than either, and if your 16 is a pair of 8s you should split it instead. If your 16 is made of three or more cards, several of which are small, the case for standing improves, because those small cards are no longer available to save you.

What none of that changes is the outcome. You will lose this hand most of the time no matter what you do, and no chart makes it a good spot. The value of playing it correctly is that you lose a little less over many repetitions, not that this particular hand turns out well.

The Soft Standing Decisions Are Different

Soft totals stand for a completely different reason than hard totals do. A soft hand cannot bust on the next card, so standing on one is never about avoiding a bust. It is about the total already being good enough that one more card is more likely to make it worse than better.

Soft 19 and soft 20 stand against everything. Soft 18 stands against a dealer 2, 7, or 8, doubles against 3 through 6, and hits against 9, 10, and Ace.

That last one is worth repeating because it is the most commonly misplayed hand in casual blackjack. Standing on soft 18 against a dealer 10 feels sensible. It is a mistake. Against a strong upcard, 18 loses more often than it wins, and hitting a soft hand carries no bust risk at all, so you are getting a free attempt at 19, 20, or 21.

Soft 17 never stands against anything. It either doubles or hits.

Why the Passive Play Is So Often Right

There is a psychological pull toward action at a blackjack table. Standing on 13 against a dealer 6 feels like doing nothing while the dealer catches a 5 and makes 21. Hitting feels like taking control.

The reality is that you have no control over the dealer's cards and considerable control over whether you bust. Every basic strategy chart ever computed says the same thing: against a weak dealer, the cheapest thing you can do with a stiff hand is not bust it.

The other thing worth internalizing is that busting is uniquely expensive. When you bust, you lose immediately, even if the dealer would have busted afterward. That asymmetry is the whole reason the dealer has an edge at all, and it is the reason the chart is more conservative than instinct suggests it should be.

A final note that is not about strategy. Basic strategy played perfectly still leaves the house with an edge of roughly half a percent under good rules. It reduces what the game costs you; it does not make it profitable. Decide before you sit down what you are willing to lose, and stop when you get there rather than when the cards tell you to.

Where This Chart Came From

Basic strategy is not folklore or table wisdom. It is the solved answer to a well-defined problem, and it has a documented history.

The first serious attempt was published in 1956 by four US Army mathematicians, Roger Baldwin, Wilbert Cantey, Herbert Maisel, and James McDermott, working with desk calculators. Their paper laid out a near-optimal set of playing decisions and showed that blackjack was far closer to an even game than anyone had assumed. Edward Thorp extended the work with early computers and published Beat the Dealer in 1962, which put both basic strategy and card counting in front of the public and changed how casinos ran the game.

Since then the calculation has been redone many times with modern computing power, for every combination of deck count and house rule. The chart above is the output of that process, not an opinion about it. Given the rules stated below it, every cell is the play with the highest expected value, and there is no arrangement of the same rules that produces a better one.

That is worth knowing because it settles the arguments. When someone at a table tells you they always stand on 16 because hitting never works for them, they are describing a run of outcomes, not a strategy. The chart is not competing with their experience; it is the answer to a math problem their experience cannot resolve.

What Perfect Play Is Actually Worth

Under the rules this chart assumes, four to eight decks, dealer stands on soft 17, doubling after split allowed, no surrender, playing every hand correctly leaves the house with an edge of roughly half a percent.

That number is easy to misread in both directions. It does not mean you lose half a percent of your buy-in. It means that over a long run you lose about half a percent of everything you wager, which is a very different and much larger figure. A player betting 25 dollars a hand at 80 hands an hour is putting 2,000 dollars through the table each hour, and half a percent of that is about 10 dollars an hour in expected loss.

The comparison that matters is what the same player gives up by not using the chart. Typical casual play, standing on stiff hands, missing doubles, splitting tens, taking insurance, runs an edge of around 2 percent or more. Basic strategy does not make you a winner. It cuts the cost of the entertainment by roughly three quarters.

The Rules That Change the Numbers

House rules move the edge more than any playing decision you will make, and they are printed on the felt before you sit down.

Blackjack paying 6 to 5 instead of 3 to 2. This is the most damaging rule in modern casinos and the easiest to miss. It costs roughly 1.4 percent, which is nearly three times the entire edge you were playing against. A 6 to 5 table played with perfect basic strategy is worse than a 3 to 2 table played sloppily. If the felt says 6 to 5, walk to another table.

Dealer hits soft 17. Costs about 0.2 percent and changes a handful of marginal plays, most notably making it correct to double hard 11 against a dealer Ace.

Double after split. Worth about 0.14 percent in your favour. Where it is absent, several splits on the chart become hits instead.

Late surrender. Worth roughly 0.08 percent when used correctly, which means on hard 16 against 9, 10, or Ace and hard 15 against a 10. Used anywhere else it costs money.

Number of decks. Fewer decks favour the player slightly. A single-deck game with otherwise identical rules is worth a few tenths of a percent over an eight-deck shoe, which is exactly why single-deck games so often come with a 6 to 5 payout attached.

How to Actually Learn It

Nobody memorizes 270 cells. What people memorize is a small number of rules that generate most of the chart, plus a short list of exceptions.

Start with the structural facts. Dealer upcards 2 through 6 are weak, busting somewhere in the 35 to 42 percent range. Upcards 7 through Ace are strong. Against weak upcards you stand on stiff hands and let the dealer break; against strong ones you hit them.

Then learn the four pair rules that require no thought: always split Aces and 8s, never split 10s or 5s.

Then the doubling core: 11 doubles against everything up to a dealer 10, 10 doubles against everything up to a dealer 9, 9 doubles against 3 through 6, and nothing else doubles on hard totals.

Then the soft-hand principle: a soft hand cannot bust on the next card, so soft 17 and below always hits or doubles, never stands.

That covers most of the chart. What remains is a handful of genuine exceptions worth learning individually: hitting 12 against a dealer 2 and 3, hitting soft 18 against 9, 10, and Ace, standing on a pair of 9s against a dealer 7, and hitting hard 16 against a 10.

Reading the Chart Correctly at the Table

Two mechanical points cause most errors in practice.

First, if the chart says double and doubling is not available, because you already have three cards or the house restricts it, hit instead. The exception is a pair of 5s, which you play as a hard 10.

Second, a soft hand stops being soft the moment a card forces the Ace down to one. Ace-6-9 is a hard 16 and plays exactly like a 10 and a 6. Players who keep counting the Ace as eleven end up hitting hands that can bust them.

Most casinos permit a printed strategy card at the table. Using one is legal, it slows nobody down meaningfully, and it is far more reliable than half-remembering a cell under pressure.

A note on risk. Basic strategy reduces the house edge to roughly half a percent. It does not remove it. Nothing here is gambling advice or a prediction of results. If gambling has stopped being entertainment, the National Problem Gambling Helpline is 1-800-522-4700, or ncpgambling.org.

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