Atlassino Academy · Blackjack · Lesson 8 of 21

Soft hands: the ace that can't bust you

The hands where an ace still counts as 11, and what to do with them at B.C. tables under the rules BCLC (the British Columbia Lottery Corporation) publishes.

  • About 23 minutes
  • Illustrated hosts: Leo and Maya
  • Last checked 24 September 2026

Lesson 8 of the blackjack track. You need to know what hit, stand and double mean. Hard totals are lesson 6 (When to hit or stand on a hard total); doubling is lesson 7 (Doubling down).

New to the words? Soft and hard in three lines
  • Soft hand. An ace and a 6 is seven, and the same two cards are also seventeen. While the ace can still count as 11, the hand holds both totals, and seventeen is the total you play.
  • Hard hand. A hand with no ace in it, or a hand whose ace has been pushed down to 1 because counting that ace as 11 would take the hand over 21.
  • Not a soft hand. An ace with a ten on the two cards you are dealt is a blackjack, and two aces are a pair. A blackjack and a pair of aces each have a lesson of their own.

Two players are dealt seventeen against the dealer’s 7. One holds an ace and a 6; the other holds a 10 and a 7. Which of the two hands should take a card?

Before we start: what would you say?

Nothing is scored here. We come back to this question at the end.

The short answer

One card can never take a soft hand over 21, so seventeen with an ace in it is a better hand to hold than seventeen without one, and the soft-hands chart plays seventeen with an ace differently from the way the hard-totals chart plays seventeen without one. Soft 13 to soft 17: never stand — take a card, or double where the chart marks the cell with a D. Soft 18 is the row whose answer changes as the dealer’s card changes. Soft 19 and soft 20: stand, apart from the soft 19 row against 6, where the cell reads Ds — double, and stand if you cannot double.

Leo lays his palm over an ace of hearts beside a six of spades, with a ten of clubs and a seven of diamonds making the same total further along the felt, while Maya reads the second pair from the rail.
Leo smiling, explaining with an open hand.

Leoformer dealer · rules and maths

An ace is the only card in the shoe that has not made up its mind. While the ace can still count as 11, the next card cannot break the hand: the worst that card does is push the ace down from 11 to 1. 9.5% of the hands dealt to you start as a soft hand, an ace with a card from 2 to 9.

One card cannot break a soft hand

Six decks are shuffled together and dealt from a shoe at B.C. tables. Build sixteen two different ways out of that shoe — a 10 with a 6, and an ace with a 5 — then deal a 10 to each of the two hands and watch what the same card does.

A hard 16 — a 10 and a 6

1010661010
Twenty-six. The hand is over 21 and lost before the dealer turns a card.

A soft 16 — an ace and a 5

AA551010
Sixteen. The ace steps down from 11 to 1, and the hand is back where it started, still in play and still able to take another card.
You take one card. Where does each sixteen land?
Your handThe card you take
A2345678910
A hard 16 — a 10 and a 6171819202122 — over 21, hand lost23 — over 21, hand lost24 — over 21, hand lost25 — over 21, hand lost26 — over 21, hand lost
A soft 16 — an ace and a 517181920211213141516

In the row without an ace, the shaded totals are over 21 and the hand is lost. In the row with the ace, every total is 21 or under. The last column stands for four ranks in every thirteen: the 10, the jack, the queen and the king all count ten.

One card on a hard total: how many of the thirteen ranks take the hand over 21?
Your handRanks that end the hand
A hard 157 of 13
A hard 168 of 13
A hard 179 of 13
Any soft handnone of the 13

A hand stops being soft without anyone saying so: the dealer does not call it, and nothing on the felt marks it. An ace and a 6 that draws a 10 is a hard 17 from that moment on, and from that moment on the hard-totals chart answers that hand and the soft-hands chart does not.

Leo raising one finger, thinking something through.

Leoformer dealer · rules and maths

A card taken on a soft hand costs nothing to take, because that card cannot take the hand over 21. It can still leave you on a lower total than the one you were holding, which is why the chart keeps some soft hands instead of taking a card on every one of them. Where the chart does ask you to take the card and you stand instead, you hand a little money back to the house — sometimes cents a hand, sometimes dollars a hand.

The same number, two hands

Two seventeens, one dealer card. Any card from a 5 upwards takes the 10 and the 7 over 21; no card takes the ace and the 6 over 21, so the two charts give the two hands different answers.

Dealer shows
77
101077
A 10 and a 7: a hard 17. The hard-totals chart answers this hand, and it says stand.
AA66
An ace and a 6: a soft 17. The soft-hands chart answers this hand, and it says take a card.
Five soft hands, and what it costs to play each of the five by the hard row of the same number. Amounts in Canadian dollars at an example bet of $10 — an example, not a suggested bet.
Your handDealer showsThe hard row saysThe soft row saysPlaying the soft hand by the hard row costs
A,2 (soft 13)a 2standhit$3.31
A,3 (soft 14)a 3standhit$2.95
A,5 (soft 16)a 5standdouble; hit if you cannot double$2.86
A,6 (soft 17)a 7standhit$1.59
A,7 (soft 18)a 9standhit$0.85

Each amount is an average over every order in which the shoe can come out, not what any one hand of yours will do.

Leo pointing at a chart with one hand.

Leoformer dealer · rules and maths

Take the last row of that table, the soft 18 against a 9. Standing on that hand is no obvious blunder: eighteen feels finished, and the amount standing gives up is the smallest amount in the table. It is still money handed back, and the reason is the same one every time — the card you are turning down cannot take a soft 18 over 21, and a 9 leaves the dealer finishing above eighteen often enough to pay for taking that card.

The soft-hands chart

  • Soft 18, an ace and a 7, is the row worth knowing by heart, because a soft 18 does not have one answer — what the chart asks for changes as the dealer’s card changes: against 2 to 6, double, and stand if you cannot double; against 7 and 8, stand; against 9 to ace, take a card.

Six decks · dealer hits soft 17 · double on any two cards · house edge 0.53% with the full chart, hard totals and pairs included

Soft hands, rules published by BCLC for B.C. casinos
Soft2345678910A
A,2HHHDhDhHHHHH
A,3HHHDhDhHHHHH
A,4HHDhDhDhHHHHH
A,5HHDhDhDhHHHHH
A,6HDhDhDhDhHHHHH
A,7DsDsDsDsDsSSHHH
A,8SSSSDsSSSSS
A,9SSSSSSSSSS
  • Hhit
  • Sstand
  • Dhdouble; hit if you cannot double
  • Dsdouble; stand if you cannot double

Where the sign says the dealer stands on all 17s: A,7 against 2, stand; A,8 against 6, stand.

Find your own hand down the left of the chart — the ace and the card lying beside it — and then find the dealer’s card along the headings; the cell where the row and the column meet is the move. If the table in front of you runs other rules, the same soft rows are worked out for those rules in our Blackjack strategy tool.

The chart in words, row by row
  • A,2 (soft 13): against 2 to 4 and 7 to ace, take a card; against 5 and 6, double, and take a card if you cannot double.
  • A,3 (soft 14): against 2 to 4 and 7 to ace, take a card; against 5 and 6, double, and take a card if you cannot double.
  • A,4 (soft 15): against 2, 3 and 7 to ace, take a card; against 4 to 6, double, and take a card if you cannot double.
  • A,5 (soft 16): against 2, 3 and 7 to ace, take a card; against 4 to 6, double, and take a card if you cannot double.
  • A,6 (soft 17): against 2 and 7 to ace, take a card; against 3 to 6, double, and take a card if you cannot double.
  • A,7 (soft 18): against 2 to 6, double, and stand if you cannot double; against 7 and 8, stand; against 9 to ace, take a card.
  • A,8 (soft 19): against 2 to 5 and 7 to ace, stand; against 6, double, and stand if you cannot double.
  • A,9 (soft 20): against 2 to ace, stand.

Two letters in one cell

You may double on the two cards you are dealt and no later, at B.C. and Quebec tables alike. Take one card and doubling is no longer a move you are turning down — doubling has gone out of reach for the rest of that hand. That is why 20 cells of the soft-hands chart carry two letters: the first letter is the move on the two cards you are dealt, and the second letter is the move on the same hand once a third card has arrived.

What each cell of the chart asks for, before and after you take a card
The cell saysOn the two cards you are dealtOnce you have taken a third card
Htake a cardtake a card
Sstandstand
Dhdoubletake a card
Dsdoublestand
  • One card. A double buys exactly one more card, and the hand ends on that card.
  • Full size. A double puts out a second bet as large as the first, and every cost given here for a double is worked out at that size. B.C. rules let you double for less than the first bet, down to the table minimum, and lesson 7 works out what doubling for less does to the hand.
Dealer shows
55
AA77
The two cards you are dealt: an ace and a 7. The cell reads Ds. This hand holds two cards, so doubling is allowed and the first letter of the cell is the answer: put out a second bet and take exactly one card.
AA3344
The same eighteen, built from three cards: an ace, a 3 and a 4. The cell still reads Ds, but the third card has taken the double away, so the second letter of the cell is the answer: stand.

What the table sign changes

The dealer makes no choices at all, but the table can be run under one of two rules: the dealer draws a card on a soft 17, or the dealer stands on every 17. The sign standing in front of you says which of the two rules this table uses. At B.C. tables the dealer draws.

Every cell the sign moves. The rest of the soft-hands chart reads the same under both signs.
Your handDealer showsSign: dealer draws on a soft 17Sign: dealer stands on all 17s
A,7 (soft 18)a 2Ds double, and stand if you cannot doubleS stand
A,8 (soft 19)a 6Ds double, and stand if you cannot doubleS stand

Both cells lose the double: a dealer who draws on a soft 17 takes an extra card, and that extra card is what your second bet was paying for. The sign moves 2 of the 80 cells in the soft-hands chart.

Both bars are averages per hand on an example bet of $10, drawn to one scale, so the length of each bar is the size of each mistake. Reading the sign wrong costs cents a hand at both of the cells the sign moves. Reading a soft total as a hard total costs cents a hand in a handful of cells and dollars a hand in most of them. Check the sign — and learn the difference between the soft-hands chart and the hard-totals chart first.

At the table, with Maya

Maya smiling, explaining with an open hand.

Mayaformer floor supervisor · manners, money and breaks

Three things to keep straight at the table, and not one of the three is arithmetic.

  • Say the higher total to yourself. An ace and a 6 is seventeen, not seven, and seventeen is the total you play. Call an ace and a 7 eight rather than eighteen and you will take a card on a hand the chart keeps: against 7 and 8 the soft 18 cell is a stand.
  • Doubling is a second bet out of your pocket. The soft rows ask for that second bet in a larger share of their cells than the hard-total rows do, and every one of those second bets can lose — the chart’s move on a soft hand still loses some of the time.
  • A strategy card. The B.C. rules do not settle whether you may keep a strategy card on the table, so ask the dealer before you put one there. One operator hands strategy cards out in the room, which tells you what that one operator allows, not what the operator of your table allows.

What the chart does to the price

Play the whole chart — these soft rows, the hard totals and the pairs — and at B.C. rules the house still keeps about 0.53% of every bet you place. The chart cannot take that share to zero, and every move made off the chart adds to it.

  1. One hand at $10, the example bet used all through this lesson and not a suggested bet.
  2. 70 hands an hour at a table that keeps moving.
  3. About $3.68 an hour, on average, with every move on every hand following the full chart.

That hourly figure is an average over a long run of hours, not a forecast for one evening: a single hour can cost more or cost nothing at all. Work out the figure for your own bet in Price of an hour.

Making the statistically correct play does not settle how a hand ends.

Maya stands in a softly lit lounge holding up a phone with a 15-minute timer; Leo relaxes in a purple armchair with a cup of coffee.
Maya’s rule: the timer is set before the first hand.
Maya with a hand on her chest, speaking gently and seriously.

Mayaformer floor supervisor · manners, money and breaks

Decide how long you are staying and how much money the evening gets before you sit down (Game plan walks you through both decisions), and take the break when the time you set is up. A run of losing hands is not a debt the table owes you: betting more to get those hands back only makes the hour dearer. If the money on the table starts to feel like money you need, stop playing and call one of the lines below.

If it stops being fun

If gambling stops being entertainment, help is available. 19+ in most of Canada; 18+ in Alberta, Manitoba and Quebec. More on responsible gaming.

1-866-531-2600Ontario · ConnexOntario · 24 hours
1-800-461-0140Quebec · Jeu: aide et référence · 24 hours
1-888-795-6111British Columbia · Gambling Support BC · 24 hours
1-866-332-2322Alberta · Addiction Helpline (Recovery Alberta) · 24 hours
1-800-463-1554Manitoba · Problem Gambling Helpline · 24 hours
1-800-306-6789Saskatchewan · Problem Gambling Help Line · 24 hours
1-888-429-8167Nova Scotia · Mental Health and Addictions Crisis Line · 24 hours
1-800-461-1234New Brunswick · Gambling Information Line
1-855-255-4255Prince Edward Island · PEI Gambling Support Line · 24 hours
811Newfoundland and Labrador · Gambling Help Line · 24 hours
1-844-533-3030Yukon · Reach Out Support Line (CMHA Yukon)

If you are thinking about suicide, call or text 9-8-8

The lesson on one card

That is the lesson. Here is the whole of it on one card: print the card, or keep the card on your phone. The B.C. rules do not settle whether you may keep a strategy card on the table, so ask the dealer before you put it there.

Soft handsRules published by BCLC for B.C. casinos

An ace counted as 11 · six decks · dealer hits soft 17 · double on any two cards

Soft hands: find your ace and its partner, then the dealer’s card
Soft2345678910A
A,2HHHDhDhHHHHH
A,3HHHDhDhHHHHH
A,4HHDhDhDhHHHHH
A,5HHDhDhDhHHHHH
A,6HDhDhDhDhHHHHH
A,7DsDsDsDsDsSSHHH
A,8SSSSDsSSSSS
A,9SSSSSSSSSS

Where the sign says the dealer stands on all 17s: A,7 against 2, stand; A,8 against 6, stand.

What each cell of the chart asks for, before and after you take a card
The cell saysOn the two cards you are dealtOnce you have taken a third card
Htake a cardtake a card
Sstandstand
Dhdoubletake a card
Dsdoublestand

19+ (18+ in AB, MB, QC) · Set a limit before you sit · Play responsibly · help, day or night: Gambling Support BC 1-888-795-6111, 24 hours

If you are thinking about suicide, call or text 9-8-8

Practice table

Three levels, and every hand dealt in all three is a soft hand. Level 1 deals a soft total and the hard total of the same number side by side and asks only about the hand with the ace; level 2 deals the soft hand on its own, with no hard hand beside it; level 3 deals three cards, where the second letter of a cell is the answer. Decide with the buttons or the keys H, S and D; the table tells you what the chart says, why the chart says it, and — on levels 1 and 2 — what each of the three moves costs on average on an example bet of $10. That amount is only an example, not a suggested bet. The lesson is one run: every square on the strip below is one hand of it, and they are all there from the start. Only your first move on each hand counts, and when a level’s squares are full the next level begins by itself. The hands are dealt for the rules in this lesson; for another table’s rules, the same engine answers in our Blackjack strategy tool.

The practice table needs JavaScript. Here is one hand from it, with the answer.

Dealer shows a 2

22

You

Your hand soft 13

AA22

Not in play hard 13

101033

Both hands on the felt are thirteen: the hand you are asked about holds an ace, the hand lying beside it does not. The dealer shows a 2. What does the chart say for the hand with the ace?

  • Stand One card cannot take a soft 13 over 21, so standing here gives up a card that costs nothing to take, and giving that card up costs $3.31 a hand on an example bet of $10.
  • Hit — the chart’s move The chart takes a card here: on an example bet of $10, taking a card on a soft 13 against a 2 averages +$0.46, and that is more than standing or doubling averages on the same hand.
  • Double Doubling puts out a second bet and buys exactly one card. On a soft 13 against a 2 doubling costs $1.09 a hand on an example bet of $10.

The hard 13 lying beside your hand stands, and on that hand the chart is right: 5 of the thirteen ranks take a hard 13 over 21. The soft 13 in your hand cannot go over 21 at all — one card takes a soft 13 no higher than 21 — so the soft cell reads H. Playing the soft 13 by the hard row costs $3.31 a hand on an example bet of $10.

How the practice table works

One strip, no rounds. Every square on the strip is one hand of this lesson, and they are all there from the start. The square shows your first move on that hand: right first time, or a mistake. When a level’s squares are full the next level begins by itself, with no button in between.

Practice. Each mistake on a first move goes on your list. Practising deals those hands again; answering one right takes it off the list and turns its cross on the strip into “fixed in practice”. Practice does not change the count.

Jumping ahead. The level buttons above the table are all live: press one and the run carries on there. The squares you left empty stay empty on the strip.

The hands. Every hand here is a real cell of the chart above, and the answer is that cell, not a judgement. Amounts are averages for an example bet of $10 from the same engine as the chart; on the three-card level no amounts are shown, because our engine works out the average result of a two-card hand and the hand on the screen has three. There is no money on this table and nothing adds up from one hand to the next.

Check yourself

Maya with a finger raised and a knowing look.

Mayaformer floor supervisor · manners, money and breaks

Five quick ones. Pick an answer, then check it. No timer, no points: just whether it stuck.

1You hold an ace and a 6: soft 17. The dealer shows a 7. What does the chart say?

Show the answer

Answer: Hit. Soft 13 to soft 17 never stands. Across the 50 cells of those five soft rows, stand appears 0 times; in the hard rows of the same five numbers, 13 to 17 without an ace, stand appears 29 times.

  • Hit A soft 17 cannot go over 21 on one card: a 10 leaves the hand on 17 again, and a 5 pushes the ace down to 1 and leaves the hand on 12. On an example bet of $10, taking a card on a soft 17 against a 7 averages +$0.55, and that is more than standing or doubling averages on the same hand.
  • Stand: 17 is a decent total On a hard 17 standing is right, and that is exactly why a soft 17 gets misplayed — the two hands are both seventeen. Standing on the soft 17 gives up $1.59 a hand on an example bet of $10, because standing on seventeen keeps a total that is only paid when the dealer goes over 21.
  • Double The soft 17 row doubles against 3 to 6, the cards the dealer has to build on from a low total. Against a 7 doubling puts out a second bet for one card and costs $0.64 a hand.
2You hold an ace and a 2: soft 13. The dealer shows a 3. What does the chart say?

Show the answer

Answer: Hit. “Double a soft hand against a weak card” is a rule of thumb, and the soft 13 row is where that rule of thumb breaks. The soft 13 row doubles against 5 and 6 and against no other card, because one card added to thirteen rarely leaves a total worth a second bet.

  • Double: the dealer is weak A 3 is a weak card for the dealer, and that is the rule of thumb this hand breaks. Thirteen is too far from twenty-one for one card to be worth a second bet, so doubling costs $0.72 a hand.
  • Hit The soft 13 row doubles against 5 and 6 and against no other card. Against a 3 the chart takes a card, and taking a card averages +$0.74 a hand on an example bet of $10.
  • Stand Thirteen is the lowest total in the soft-hands chart and the furthest from twenty-one, so standing on a soft 13 keeps a total almost any dealer hand finishes above: standing costs $3.19 a hand, more than doubling costs.
3You hold an ace and a 7: soft 18. The dealer shows a 9. What does the chart say?

Show the answer

Answer: Hit. Soft 18 is the row whose answer changes most as the dealer’s card changes: against 2 to 6, double, and stand if you cannot double; against 7 and 8, stand; against 9 to ace, take a card. Against a 9 the card is worth taking because it cannot cost you the hand — one card takes a soft 18 no higher than 21.

  • Stand: 18 is a good hand Against a 7 or an 8 the chart does stand on a soft 18. Against a 9 standing costs $0.85 a hand on an example bet of $10 — and the card you are turning down costs nothing to take, because a soft 18 cannot go over 21.
  • Double Doubling puts a second bet on a hand that is behind a 9, and that costs $1.87 a hand. The soft 18 row doubles against 2 to 6, and a 9 is not one of those cards.
  • Hit Eighteen looks finished, and against a 7 and against an 8 the chart agrees and stands. Against a 9 every move on this hand loses money on average, and taking a card loses less than standing or doubling: $0.98 a hand on an example bet of $10.
4You hold an ace, a 3 and a 4: soft 18 on three cards. The dealer shows a 5. What does the chart say?

Show the answer

Answer: Stand. The two letters in one cell answer two hands: the eighteen dealt to you on two cards, and the eighteen you hold once a third card has arrived. The answer on this hand changed because the moves open to you changed, not because the total changed.

  • Double, as the cell says Doubling is allowed on the two cards you are dealt and no later. That is why the cell carries two letters: the first letter answers the two cards you are dealt, and the second letter answers the same eighteen once a third card has arrived.
  • Hit Taking a card is what the second letter would ask for if the cell read Dh, and the soft 18 cell against a 5 reads Ds. Once the double is out of reach, eighteen is a total the chart keeps.
  • Stand The cell reads Ds — double, and stand if you cannot double. This hand holds three cards, so the double is gone and the second letter of the cell is the answer.
5You sit at a table whose sign says the dealer stands on all 17s. You hold an ace and an 8 against a 6. What does the chart for THAT table say? new situation

Show the answer

Answer: Stand. 2 cells of the soft-hands chart change with that sign, and here they are both: A,7 against a 2 and A,8 against a 6. Reading the sign wrong costs cents a hand at both of those two cells. Reading a soft total as a hard total costs dollars a hand in most cells of the chart: playing an ace and a 2 against a 2 by the hard row costs $3.31 a hand on an example bet of $10.

  • Stand Where the dealer stands on all 17s, the soft 19 cell against a 6 is a stand: that dealer takes no card on a soft 17, and the extra card was what the second bet was paying for. At such a table, doubling an ace and an 8 against a 6 gives up $0.14 a hand on an example bet of $10.
  • Double, as at the table in this lesson Doubling is the cell for the table in this lesson, where the dealer draws on a soft 17 — and that is the other sign. A soft 19 against a 6 doubles at a table whose dealer draws and stands at a table whose dealer does not: both cells are right, each for the sign above its own table.
  • Hit Nineteen is two short of twenty-one, and no chart takes a card on a soft 19 against any dealer card, under either sign.

And the question at the start

Only the hand with the ace and the 6 should take a card. Both hands are seventeen, and against the dealer’s 7 the hard-totals chart stands on the 10 and the 7 while the soft-hands chart takes a card on the ace and the 6 — because a hard 17 goes over 21 on 9 of the thirteen ranks and a soft 17 goes over 21 on none of the thirteen. Standing on the ace and the 6 costs $1.59 a hand on an example bet of $10; taking a card on the 10 and the 7 costs $3.69 a hand. That is why answering “both hands” is dearer than answering “neither hand”: the mistake on the hard 17 costs more than the mistake on the soft 17.

Where to play, and further reading

19+ (18+ in AB, MB, QC) · Play responsibly · help, day or night: Gambling Support BC 1-888-795-6111, 24 hours

Further reading

  • Rules of Play for Table Games: Blackjack · British Columbia Lottery Corporation (BCLC)The rules this track follows section by section: six decks, the dealer on soft 17, doubling, splitting and surrender.
  • Game rules: Blackjack · Loto-Québec (Société des casinos du Québec)Québec’s rules: one to eight decks, a face-down dealer card, and the soft-17 rule left to the sign at the table.
  • Playing Blackjack · Fallsview Casino Resort and Casino NiagaraOne Ontario operator’s own booklet, including both blackjack payouts and both dealer rules it may post.
  • Blackjack: how to play · OLG PlaySmartOntario’s beginner page: the moves, the hand signals it describes, and what insurance is.
  • Know the game: Blackjack · Casinos Regina & Moose Jaw (SaskGaming)A Saskatchewan operator on what the chart does and does not do, and where to pick one up in the building.
  • Blackjack basics · Wizard of OddsWhat three common ways of playing blackjack without the chart cost, on that author’s own table.

How it’s worked out

Rules, numbers and hosts

Rules. The rules published by BCLC for B.C. casinos: six decks from a shoe, the dealer draws on a soft 17, double on any two cards, and no face-down dealer card. It is a preset for learning, not a statement about any one casino: check the sign at your table.

Numbers. Every figure on this page is worked out when the page is built, by the same engine as our Blackjack strategy tool. For each cell the engine takes every two-card hand of that total and every order in which the remaining cards can come out of the shoe, and gives the move with the higher average result. A mistake’s cost is the average result of the chart’s move minus that of the mistake, per hand, shown in dollars for an example bet of $10 with each average rounded to the cent first — so a cost is always the difference of the two amounts shown. At a bet twice as large it is about twice as much. The rank counts (“8 of 13”) and the landing totals in the grid of sixteens are deck arithmetic, not engine figures: a total plus a card, with the ace stepped down to 1 when counting it as 11 would take the hand past 21. The house edge assumes the full chart and cards shuffled after every hand.

Where the chart comes from. The soft-hands chart on this page is ours, worked out by our own engine. Among the operator rule books and player-education pages we could read there is no printed soft-hand chart, only two lines of prose on one provincial site — that is the result of our search, not a statement about what every operator publishes.

What the engine does not do. The engine’s averages are worked out for hands of two cards. On the three-card level of the practice table, and in the question about a soft 18 made of three cards, no amount is shown for that reason: a two-card figure would be a number about a different hand.

What is deliberately absent. The chart has no row for two aces and no row for an ace with a ten: two aces are a pair, and an ace with a ten on the two cards you are dealt is a blackjack, and each of those two hands has a lesson of its own. No soft cell of this chart asks you to surrender, so nothing here tells you when to give up half a bet; surrender belongs to the hard totals. No number on this page comes from watching which cards have already been dealt: every figure here assumes a shoe you cannot see into.

Hosts. Leo and Maya are illustrated characters. Their backstories, a former dealer and a former floor supervisor, are written for the course: neither is a real person, and neither speaks for any casino. The rules and numbers on this page come from the sources it cites, not from their experience.

No promise. Blackjack is played against the house. The chart lowers the price of playing; nothing on this page makes it costless or tells you how an evening will end.

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