Atlassino Academy · Blackjack · Lesson 6 of 21

When to hit or stand on a hard total

The decision you face on most blackjack hands, worked out for the rules published by BCLC (the British Columbia Lottery Corporation) for B.C. casinos.

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

Lesson 6 of the blackjack track. It assumes you know how a hand of blackjack goes. The lessons before it teach that: what the cards count, how a round goes, what each move is.

New to blackjack? The basics in one minute
  • The goal. Get a higher total than the dealer without going over 21. If the dealer goes over 21 and you have not, you are paid. Equal totals push: nobody is paid, and your bet stays yours.
  • What the cards count.
    447799
    The number printed on the card
    1010JJJQQQKKK
    Ten each: the 10, the jack, the queen and the king
    AA
    The ace: 1 or 11, your choice
  • Blackjack. An ace beside a ten, jack, queen or king on the first two cards. A blackjack pays 3 to 2 and outranks a 21 made of three or more cards.
  • Who plays first. You play before the dealer. Go over 21 and your bet is gone, even if the dealer goes over later.
  • Hard total. No ace in the hand, or an ace forced down to 1. A 10 and a 6 is hard 16.
  • Hit: take another card.
  • Stand: take no more cards and keep your total.
  • Double: a second bet, up to the size of the first, for exactly one more card. The second bet can lose too. The figures in this lesson assume it is the full size of the first.
  • Split: two cards of equal value, played as two hands.
  • Surrender (B.C. tables offer it): give up half your bet and end the hand, right after your first two cards. If the dealer then has blackjack, the surrender does not count. The dealer’s blackjack then takes the whole bet.
  • The house edge. The house keeps an edge even if you never make a mistake. Played by the full chart, these B.C. rules leave the house about 0.53% of every bet on average. The chart makes the game cheaper, not free.

You hold a 10 and a 2. The dealer shows a 6. Do you take a card?

The short answer

On a hard 12 to 16, stand when the dealer shows 2 to 6 and take a card when the dealer shows 7 to ace — with one exception: hit 12 when the dealer shows a 2 or a 3. On a hard 11 or less, never stand: double where the chart shows Dh, and hit everywhere else. On a hard 17 or more, stand. Where surrender is allowed, the chart gives up half the bet on a hard 15, 16 and 17 against a 9, a 10 or an ace, though not on every one of those pairings.

Leo, in a teal jacket and mustard tie, gestures with an open hand at a green blackjack table where a 10 of hearts and a 2 of spades face the dealer’s single card, the 6 of clubs; Maya, in a mustard jacket, leans on the rail with a finger to her chin, thinking.
Leo smiling, explaining with an open hand.

Leoformer dealer · rules and maths

Your gut says hit: twelve feels like nothing to stand on. Stand anyway. The reason is a number, not a hunch — how often a dealer showing a 6 goes over 21 — and I dealt this game for years before I taught it.

How a hand goes

At B.C. tables the cards come out of a shoe — six decks shuffled together — and nobody but the dealer touches them. Every hand goes through the same five steps, and the pictures follow the hand from the question above: your 10 and 2 against the dealer’s 6.

  1. Bet

    Put your chips in your betting spot before the deal starts, and leave them there until the hand is settled.

  2. 66101022123

    The deal

    The dealer gives you one card face up, takes one card face up, then gives you your second card. The dealer’s own second card comes later, after you have played.

  3. 66101022

    Your turn

    Hit or stand with a hand signal, or double: a second bet for exactly one more card. In the picture you stand on 12.

  4. 6610109910102225

    The dealer’s turn

    The dealer has no choices to make: the dealer draws on 16 or less and on soft 17 (an ace and a 6), and stands on hard 17 or more. In the picture the 6 and a 10 make 16, so the dealer must draw again, and a 9 makes 25.

  5. 66101099101022

    Result

    A hand over 21 loses at once. A total higher than the dealer’s is paid 1 to 1, a blackjack is paid 3 to 2, a total lower than the dealer’s loses, and equal totals push. In the picture the dealer went over 21, so your 12 is paid.

A dealer showing a 6 goes over 21 on 43.9% of hands. That is often, and it is still less than half the time: standing on 12 against a 6 is the better bet, not a sure thing.

Leo smiling, giving a thumbs-up.

Leoformer dealer · rules and maths

Look at step 5, the result, again. You act first, and going over 21 takes your bet right there, even when the dealer goes over a moment later. That order — you first, the dealer second — is where the house edge comes from.

Hard means the hand has one total and only one: there is no ace in the hand, or the ace has to count as 1. If the ace can still count as 11, the hand is soft, and soft hands are a lesson of their own.

101066
Hard 16. The hand has one total, 16, and one more card can take the hand over 21.
AA66
Soft 17. The ace can still count as 11, so the hand is 7 or 17, and no single card can take the hand over 21.

The key idea: the dealer’s face-up card

Leo raising one finger, thinking something through.

Leoformer dealer · rules and maths

You see one of the dealer’s two cards and none of the cards still to come. That one face-up card decides how the dealer’s hand is likely to end, and the whole chart is built on it.

How the dealer’s hand ends, by the face-up card % of hands, by the dealer’s final total · six decks, dealer hits soft 17
Dealer shows1718192021Black­jackOver 21
Weak cards: 2 to 6
213.013.613.212.612.0–35.7
312.613.212.712.211.6–37.7
412.212.512.311.811.3–39.8
511.812.311.811.210.9–42.0
611.511.511.511.010.6–43.9
Strong cards: 7 to ace
736.913.87.87.97.4–26.2
812.936.012.96.96.9–24.4
912.011.735.212.06.1–22.9
1011.211.211.234.03.57.721.2
Ace5.714.314.314.36.630.913.9

Each row of the table is one face-up card, and the last column is how often the dealer’s hand ends over 21. Read down that column and the ten cards split into two groups, with the split between the 6 and the 7.

A weak card: 2 to 6
2233445566

The dealer goes over 21 on 35.7% to 43.9% of hands.

So on a hard 13 to 16 you stand and let the dealer take that risk. A hard 12 stands too, except against a 2 or a 3.

A strong card: 7 to ace
7788991010AA

The dealer goes over 21 on only 13.9% to 26.2% of hands.

So on a hard 12 to 16 you take a card yourself, or surrender where the chart shows Rh: waiting for the dealer to go over 21 is a poor bet against a strong card.

The cards in the two tiles are the only thing that differs between the two groups. The rules of the game are the same, the shoe is the same, and the dealer draws by the same rule; how often the dealer goes over 21 changes with the face-up card alone, and your move on a hard 12 to 16 changes with that card.

  • A weak card makes the dealer draw. Showing 2 to 6, the dealer needs at least two more cards — even a 6 and an ace make a soft 17, which the dealer has to hit — and every extra card is another chance to go over 21. So on 12 to 16 you stand and let the dealer take that chance (12 against a 2 or a 3 is the one exception).
  • A strong card ends the dealer’s hand fast. A ten turns a 7 into 17: with a 7 showing, the dealer lands on exactly 17 on 36.9% of hands and on 17 or more 73.8% of the time. Stand on 12 to 16 and you lose to every one of those hands, so you take the card yourself.
  • The dealer’s own blackjack. The dealer’s second card comes after you play, so against a 10 or an ace the hand sometimes ends before your choice matters at all: a dealer showing a 10 has blackjack on 7.7% of hands, and a dealer showing an ace on 30.9%. The dealer’s blackjack takes your original bet, unless you hold a blackjack too and the hand is a push; a doubled or split bet comes back to you.

Hard totals: the chart

Three rules cover almost every hard hand you will be dealt, and the chart under them fills in the few cells the rules leave out.

  • 12 to 16. These are called stiff hands: one card can take them over 21. Stand when the dealer shows 2 to 6, hit when the dealer shows 7 to ace — and hit 12 when the dealer shows a 2 or a 3.
  • 11 or less. No single card can take you over 21, so never stand. Double where the chart shows Dh, and hit everywhere else.
  • 17 or more: stand, except where the chart surrenders: 17 against an ace.
  • Surrender gives up half your bet and ends the hand before you play it. If you would rather not surrender, play the letter after the R: h means hit, s means stand.
Where the chart surrenders
Your hard totalThe dealer shows
1510, ace
169, 10, ace
17ace

Six decks · dealer hits soft 17 · blackjack pays 3:2 · double on any two cards · surrender · house edge 0.53% with the full chart, soft hands and pairs included

Hard totals, rules published by BCLC for B.C. casinos
Hard2345678910A
5–8HHHHHHHHHH
9HDhDhDhDhHHHHH
10DhDhDhDhDhDhDhDhHH
11DhDhDhDhDhDhDhDhDhDh
12HHSSSHHHHH
13SSSSSHHHHH
14SSSSSHHHHH
15SSSSSHHHRhRh
16SSSSSHHRhRhRh
17SSSSSSSSSRs
18+SSSSSSSSSS
  • Hhit
  • Sstand
  • Dhdouble; hit if you cannot double
  • Rhsurrender; hit if you cannot surrender
  • Rssurrender; stand if you cannot surrender

Where the sign says the dealer stands on all 17s: 11 against an ace, hit; 15 against an ace, hit; 17 against an ace, stand.

Find your hard total down the left edge of the chart, then read across to the card the dealer shows: the letters in that cell are your move. Soft hands, pairs and tables with other rules are in the Blackjack strategy tool.

The chart in words, row by row
  • 5–8: hit against every dealer card.
  • 9: hit against 2 and 7 to ace; double against 3 to 6 (hit if doubling is not allowed).
  • 10: double against 2 to 9 (hit if doubling is not allowed); hit against 10 and ace.
  • 11: double against every dealer card (hit if doubling is not allowed).
  • 12: hit against 2, 3 and 7 to ace; stand against 4 to 6.
  • 13: stand against 2 to 6; hit against 7 to ace.
  • 14: stand against 2 to 6; hit against 7 to ace.
  • 15: stand against 2 to 6; hit against 7 to 9; surrender against 10 and ace (hit if surrender is not allowed).
  • 16: stand against 2 to 6; hit against 7 and 8; surrender against 9 to ace (hit if surrender is not allowed).
  • 17: stand against 2 to 10; surrender against ace (stand if surrender is not allowed).
  • 18 or more: stand against every dealer card.

Three mistakes that cost the most

Leo with a hand on his chest, looking concerned.

Leoformer dealer · rules and maths

Three habits come up at the table again and again, and each of the three has a price per hand that can be measured.

Every amount below is in Canadian dollars, for an example bet of $10. The ten dollars is an example, not a suggestion: bet twice as much and each mistake costs roughly twice as much.

The careful mistake

Standing on 12 to 16 against 7 to ace

You hold
101066
against
The dealer shows
77
$0.68

each time you stand on 16 against a 7. Standing on 14 against a 9 costs $1.13, and standing on 12 against a 7 costs $2.61. Standing feels safe because you cannot go over 21 — but a hand under 17 is paid only when the dealer goes over 21, and against a strong card the dealer usually does not.

Fix: on 12 to 16 against 7 to ace, take the card, or surrender where the chart shows Rh.

The impatient mistake

Hitting 13 to 16 against 2 to 6

You hold
101066
against
The dealer shows
66
$3.13

each time you hit 16 against a 6, and hitting 13 against a 6 costs $1.20. Hard 12 is the exception, and the exception runs the other way: standing on 12 against a 2 costs $0.34, and standing on 12 against a 3 costs $0.14.

Fix: against 2 to 6, stand on 13 to 16 — and stand on 12 against a 4, 5 or 6.

The missed double

Not doubling 10 and 11

You hold
6655
against
The dealer shows
66
$3.37

each time you hit 11 against a 6 instead of doubling. Hitting 11 against a 10 instead of doubling costs $0.59, and hitting 10 against a 9 instead of doubling costs $0.30 (counting the hands where the dealer does not make blackjack).

Fix: double where the chart shows Dh. The second bet can still lose, and over all hands the house keeps its edge.

16 against a 10

The hand players find hardest is nearly a coin toss between standing and hitting: on an example bet of $10, hitting does better than standing by $0.05 a hand. At B.C. tables, surrendering does better than either standing or hitting.

Stand
loses $5.40 a hand on average
Hit
loses $5.35 a hand on average
Surrender
loses $5.00 a hand on average

Each bar is the average loss of one move on the same hand, 16 against a 10, and the bars are almost the same length. That is what a coin toss looks like in money: whichever move you make, the hand costs about the same, and the chart only picks the smallest of those losses.

Researchers who watched players at real tables found the same pattern: most mistakes were on the careful side, standing where the chart says hit (Keren and Wagenaar, 1985; Carlin and Robinson, 2009).

At the table, with Maya

Maya smiling, explaining with an open hand.

Mayaformer floor supervisor · manners, money and breaks

Knowing the chart is half of playing a hand well. The other half is making your move the way the dealer expects to see it, so that nothing you do is read as something else.

101022
Hit: tap the tableThe hand signal is what counts; saying “hit” out loud is not enough.
101022
Stand: wave it offWave a flat hand side to side above your cards.
101022
Double: chips behind your betThe second bet goes behind the first bet, and the dealer gives you one card and no more.
  • Only the dealer touches the cards.
  • Once the deal starts, leave your bet alone. Your bet changes only when you double or split, and then only by the second bet you add.
  • Doubling for less. B.C. lets you put up less than your first bet on a double, down to the table minimum. The chart assumes a full double: on 11 against a 10, a second bet smaller than 33.2% of the first bet does worse than simply hitting.

What the chart does to the price

What you bet on one hand, times the hands the table deals in an hour, times the share of every bet the house keeps, makes what an hour costs on average.

Your bet on one hand$10An example, not a suggestion.
Hands the table deals in an hour70The pace in the Las Vegas Strip rating table.
The share of every bet the house keeps0.53%With the full chart, soft hands and pairs included.
What an hour costs on average$3.68An average over many evenings, not the price of any one evening.

Played by the full chart — these hard totals plus soft hands and pairs — B.C. rules still leave the house a share of every bet, and every move off the chart makes that share bigger. Of the three numbers that multiply, the share is the only one you cannot change: the bet is yours to set, and the pace is the table’s. What the three make is an average over many evenings, and a single evening can land far above that average or far below it. Put your own bet and your own pace into Price of an hour.

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

Two habits matter more than any chart. Decide your time and your budget before you sit down (Game plan walks you through both), and take the break when the time is up.

A losing streak is not a debt the table owes you: betting more to get the money back only makes the hour dearer. And if the money on the table starts to feel like money you need, or you play to get away from something, stop and call one of the lines below — that is what they are for.

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 it is on one card: print the card, or keep it on your phone. Ask the dealer before you put the card on the table.

Hard totalsRules published by BCLC for B.C. casinos

Six decks · dealer hits soft 17 · blackjack pays 3:2 · double on any two cards · surrender

Hard totals: find your total, then the dealer’s card
Hard2345678910A
5–8HHHHHHHHHH
9HDhDhDhDhHHHHH
10DhDhDhDhDhDhDhDhHH
11DhDhDhDhDhDhDhDhDhDh
12HHSSSHHHHH
13SSSSSHHHHH
14SSSSSHHHHH
15SSSSSHHHRhRh
16SSSSSHHRhRhRh
17SSSSSSSSSRs
18+SSSSSSSSSS
  • Hhit
  • Sstand
  • Dhdouble; hit if you cannot double
  • Rhsurrender; hit if you cannot surrender
  • Rssurrender; stand if you cannot surrender

Where the sign says the dealer stands on all 17s: 11 against an ace, hit; 15 against an ace, hit; 17 against an ace, stand.

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

Cards come from a shuffled 6-deck shoe, dealt in the B.C. order from the five steps above. Decide with the buttons or the keys H, S, D and R, and the table says what the chart does, why, and what each choice costs on average — for an example bet of $10 unless you pick another 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 is scored, and when a level’s squares are full the next level begins by itself. Level 1 deals hard 12 to 16.

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

Dealer shows a 7

77

You hard 16

101066

The chart says: Hit.

Hard 16 against a 7: The dealer card is strong: standing on 16 loses whenever the dealer finishes on 17 or more, 73.8% of hands against a 7.

Average result per hand on an example bet of $10 (a minus means money lost): stand −$4.77 · hit −$4.09 · double −$8.17 · surrender −$5.00. Standing instead costs about $0.68 more each time.

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. Later moves in the same hand are checked and explained, but the square keeps your first answer. When a level’s squares are full the next level begins by itself, with no button in between.

Example bet. The amounts are averages for the example bet you pick: $5, $10 or $25. At a bet twice as large, each amount is about twice as much. The bet is only there to show amounts: there is no balance, and nothing adds up from one hand to the next. At the end of the run, one line adds up the costs shown for your first moves that did not match the chart: how much more they cost on average than the chart’s moves would have.

Practice. Each mistake on a first move goes on your list (up to 30 hands). Practising deals those hands again. When you answer one right, it leaves the list, and any cross it has on the strip changes to “fixed in practice”. Practice does not change the count: only your first answer on each hand does.

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.

Dealing. The shoe is shuffled with a fresh random seed each visit and reshuffled when about a quarter is left. Cards are dealt in B.C. order: your first card, the dealer’s card, your second card; at tables with a face-down card, the dealer’s second card comes next and is checked for blackjack before you play. A hand that does not belong to the level (a pair, an ace, a total outside the level) is set aside unseen, so the shoe runs down faster than at a real table. The correct play is the chart’s cell for the table rules you pick, and the averages come from the same engine as the chart. A double here is always the full size of your bet, as the chart assumes. Level 1: hard 12 to 16 against every dealer card. Level 2: hard 5 to 19, doubles included. Level 3: hard 9 to 16 against every dealer card; the clock is optional. A hand that turns soft after a hit is shown with the chart’s play but not graded. There is no money on this table: the amounts are averages for the example bet, and only your decisions are counted.

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 a 10 and a 6: hard 16. The dealer shows a 7. What does the chart say?

Show the answer

Answer: Hit. A dealer showing a 7 finishes on 17 or more on 73.8% of hands, and a 16 that stands loses to every one of those hands. Hitting loses less. On an example bet of $10, hitting loses $4.09 per hand on average and standing loses $4.77.

  • Surrender Surrender gives up half the bet, so surrendering costs half a bet every time: $5.00 on an example bet of $10. Against a 7 that is more than hitting loses.
  • Double Double puts in a second bet for exactly one card, and on 16 that one card takes you over 21 more often than it helps: doubling loses $8.17 a hand on an example bet of $10.
  • Stand: the dealer might still go over 21 A 16 that stands is paid only when the dealer goes over 21, and a dealer showing a 7 goes over 21 on just 26.2% of hands.
  • Hit On an example bet of $10, hitting loses $4.09 a hand on average and standing loses $4.77: hitting is the smaller loss of the two.
2You hold a 10 and a 2: hard 12. The dealer shows a 2. What does the chart say?

Show the answer

Answer: Hit. 12 is the exception to “stand on 12 to 16 when the dealer shows 2 to 6”. Only a 10-value card takes 12 over 21, while a dealer showing a 2 goes over just 35.7% of the time. On an example bet of $10, standing on 12 against a 2 costs about $0.34 more than hitting each time, and standing on 12 against a 3 costs about $0.14 more.

  • Double One card on 12 rarely leaves a strong hand, and doubling puts a second bet on that hand: doubling loses $5.07 a hand on an example bet of $10.
  • Hit Only a 10-value card takes 12 over 21, so taking a card costs less than standing and waiting for the dealer to go over: standing costs about $0.34 more each time on an example bet of $10.
  • Stand: against a weak card, leave 12 alone Hard 12 against a 2 is the exception to the stand-against-a-weak-card rule: a dealer showing a 2 goes over 21 on only 35.7% of hands, the least of the weak cards.
3You hold a 6 and a 5: hard 11. The dealer shows a 10. What does the chart say for these B.C. rules?

Show the answer

Answer: Double. On these rules the chart doubles 11 against every dealer card. On an example bet of $10, just hitting gives up about $0.59 each time, counting the hands where the dealer does not make blackjack. If the dealer does make blackjack, B.C. rules take only your original bet, and the second bet of the double comes back to you.

  • Stand No card can take 11 over 21, so standing gives up a free card: standing loses $5.40 a hand on an example bet of $10.
  • Hit: a 10 is too strong to put more money in Hitting takes the card without the second bet and gives up about $0.59 each time on an example bet of $10, counting the hands where the dealer does not make blackjack.
  • Double One card cannot take 11 over 21, and a 10-value card, the commonest card in the shoe, makes 21. The second bet can still lose, and over all hands the house keeps its edge.
4You are at a B.C. table and want another card. What do you do?

Show the answer

Answer: Tap the table. BCLC’s rules say a player must use a hand signal: tapping on the table for a hit, waving off for a stand. Only the dealer touches the cards, and chips behind your bet mean a double, not a hit.

  • Say “hit”: that is enough The rules name a hand signal, not a spoken word.
  • Tap the table Tapping the table is the signal BCLC’s rules name for a hit; a flat hand waved over the cards is the signal for stand.
  • Put more chips behind your bet Chips behind your bet are the signal for a double: a second bet and exactly one more card.
  • Slide your cards toward the dealer At a shoe game only the dealer touches the cards, so moving your cards is not a signal at all.
5You play every hand by the full chart for an evening at a B.C. table and end $60 down. What does that most likely mean? new situation

Show the answer

Answer: Nothing unusual: the chart lowers the average cost, not the swings of one evening. Played by the full chart, these rules still leave the house 0.53% of every bet on average: that is the price of playing, and a single evening swings far more than that price, up or down. Raising your bets to get the money back only raises the price per hour. Decide your limit before you sit down; Game plan helps.

  • The chart does not suit this table; play by feel next time The chart is worked out from the rules on this table’s sign, and one evening says nothing about whether the chart fits those rules.
  • You slipped somewhere: played perfectly, the chart breaks even Even with the full chart these rules leave the house 0.53% of every bet: the chart makes the game cheaper, not free.
  • Raise your bets for a while: the cards tend to even out The shoe has no memory of the evening, and a larger bet only makes each hour dearer.
  • Nothing unusual: the chart lowers the average cost, not the swings of one evening One evening lands far from the average in both directions; the average is what many evenings come to.

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 lesson follows, section by section.
  • Blackjack rule variations · Michael Shackleford, Wizard of OddsWhat each table rule does to the house edge.
  • The Theory of Blackjack · Peter A. Griffin (Huntington Press, 6th edition, 1999)The mathematics behind the chart. Link: library catalogue search.
  • Blackjack playing strategies and beliefs: A view from the field · William M. Bennis, Journal of Gambling Issues 10 (2004)How players at two casinos actually played, and what they believed about the cards.

How it’s worked out

Rules, numbers and hosts

Rules. The rules published by BCLC for B.C. casinos: six decks, dealer hits soft 17, blackjack pays 3 to 2, double on any two cards and after splitting, surrender, and no face-down dealer card (a dealer blackjack takes only your original bet). It is a preset for learning, not a statement about any one casino: check the signs 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, which is checked cell by cell against published charts. The chart gives, for each hard total, the play with the higher average result over all two-card hands of that total, pairs aside. A mistake’s cost is the average result of the chart’s play minus that of the mistake, per hand. The page shows it 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. Against a 10 or an ace it counts only the hands where the dealer does not make blackjack, because then your decision changes nothing. The house edge assumes the full chart, soft hands and pairs included, and cards shuffled after every hand; with a cut card it is a little higher, and every move off the chart raises it. The three bars under “16 against a 10” are the same averages drawn to scale: the longest bar is the largest loss, and each bar is labelled with its own amount.

The dealer’s table. The dealer’s second card is drawn after the players, as at B.C. tables, so blackjack is an outcome of its own. Your own two cards stay in the shoe; with them taken out the figures shift a little. A row may not add up to exactly 100 because of rounding.

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 free or tells you how an evening will end.

Spotted a mistake on this page? Tell us

Sending a report needs JavaScript. Without it, write to us through Contact and give the page address.

Please do not include personal details, such as health or money problems. For help with gambling, see Helplines by province.

Your report reaches us as an email and is not published. What we keep

Been here before? Review us on Trustpilot