Two face-down cards at a blackjack dealer position, one corner lifted as if being peeked, a card shoe and a short stack of chips out of focus behind (AI-generated image)
AI · AI-generated image

Exact shoe maths

Blackjack Odds by Upcard: Dealer Bust Probability and Naturals

A six-deck shoe where the dealer shows a 6 and stands on soft 17 ends in a dealer bust 42.28% of the time. Switch the same table to hit soft 17 and the figure becomes 43.93%. These blackjack odds are computed exactly from the shoe, card by card, and every number on this page comes from that one calculation.

The tables below cover the dealer's bust chance by upcard for six and eight decks, where the dealer finishes, how often anyone is dealt a natural, your own bust chance when you hit a hard total, and how the ace and the ten change once the dealer has checked for blackjack. None of them predicts a single hand.

Blackjack odds of a dealer bust, upcard by upcard

The table holds the dealer bust chance for every upcard, for six and eight decks, standing or hitting on soft 17. It removes only the upcard from the shoe and ignores your cards. The ace row counts hands where the dealer turns over a natural, which is why it looks so low. The peek section below separates those hands.

Dealer upcard6 decks, S176 decks, H17H17 adds (points)8 decks, S178 decks, H17
A (before peek)11.55%13.91%+2.3611.54%13.91%
235.35%35.67%+0.3235.35%35.67%
337.42%37.70%+0.2837.41%37.69%
439.58%39.85%+0.2739.55%39.81%
541.84%41.96%+0.1241.79%41.91%
642.28%43.93%+1.6542.29%43.93%
726.19%26.19%0.0026.20%26.20%
824.37%24.37%0.0024.40%24.40%
922.92%22.92%0.0022.90%22.90%
10, J, Q, K21.25%21.25%0.0021.24%21.24%
All upcards, weighted28.19%28.58%+0.3928.18%28.57%

Read the split between 6 and 7 first. Every upcard from 2 to 6 busts more than a third of the time, and every upcard from 7 up busts about a quarter of the time or less. That cliff is the whole logic behind standing on stiff hands against a small card. Six decks and eight decks barely differ anywhere.

The weighted bottom row tells you how often the dealer busts over a long session, counting the ten-value cards four times as often as any other rank. Roughly 28 dealer hands in 100 end over 21. The other 72 finish on a total you have to beat, tie, or lose to. That ratio is the backdrop for every decision.

What hitting soft 17 does to each upcard

A soft 17 counts an ace as 11. Under S17 the dealer stops there, and under H17 draws again. The fourth column shows the effect per upcard, and it is uneven. The ace gains 2.36 points of busts and the 6 gains 1.65, while the 2 to 5 move by a third of a point or less.

The reason is how a soft 17 arises. An ace and a 6 make it at once, so those two upcards meet the rule constantly. A dealer starting on 2 to 5 reaches soft 17 only through three or more cards, such as 2, ace and 4. From 7 or higher it is impossible, so those rows stay identical.

More busts sound like good news for the player, yet the H17 rule still costs money. The extra card also turns many dealer 17s into 18 to 21, and those totals beat hands you would have pushed or won. Our house edge calculator switches the soft 17 rule on and off and puts a house-edge figure on that trade.

Why the 6 busts more than the 5, and when it does not

The 6 earns its name as the bust card through the most common card in the shoe. A ten-value card arrives 4 times in 13, and on a 6 it makes 16, the worst total the dealer can hold. On a 5 the same card makes 15. Both must draw again, but 16 breaks on more of the next cards.

The ace pulls the other way. A 6 and an ace make soft 17, where an S17 dealer stops, so that path never busts. A 5 and an ace make soft 16, which keeps drawing. At six decks the two effects nearly cancel, 42.28% against 41.84%. Once the dealer hits soft 17, the gap widens to almost two points.

Deck count decides the order at the margin. In single-deck play with the dealer standing on soft 17, the 5 busts 42.89% of the time and the 6 only 42.08%. Each card removed from one deck shifts the odds more than in a shoe. Strategy for single-deck tables differs in a few places for exactly this kind of reason.

Dealer final-total probability for six upcards

Busting is one line of the picture. The table below shows where the dealer actually finishes for six common upcards with six decks, standing on soft 17, plus the 6 and the ace under H17. The last column picks out busts on exactly 22, which matters at tables that push instead of paying when the dealer lands there.

Upcard (6 decks)1718192021NaturalBustof which 22
2, S1713.97%13.44%13.00%12.40%11.84%0.00%35.35%15.13%
5, S1712.18%12.24%11.76%11.18%10.79%0.00%41.84%9.35%
6, S1716.57%10.62%10.64%10.16%9.73%0.00%42.28%8.52%
6, H1711.51%11.46%11.50%11.02%10.59%0.00%43.93%8.93%
7, S1736.92%13.79%7.84%7.87%7.38%0.00%26.19%6.46%
10, S1711.19%11.17%11.19%34.00%3.48%7.72%21.25%5.23%
A, S1713.00%13.08%13.06%13.09%5.35%30.87%11.55%3.14%
A, H175.73%14.28%14.29%14.33%6.59%30.87%13.91%3.72%

The 7 finishes on exactly 17 in 36.92% of hands, because a ten-value hole card ends the hand at once. A player 18 against a 7 is a comfortable stand. The 10 does the same thing one total higher, finishing on 20 in 34.00% of hands, which makes a dealer ten the card that beats the most standing hands.

The 2 is the opposite case. Its bust chance looks healthy, but 15.13 of its 35.35 points are busts on exactly 22. At Free Bet Blackjack a dealer 22 pushes every standing hand, so the 2 loses almost half its bust value there. A 6 under H17 still busts 35.00% of the time on 23 or more.

Why the ace is the dealer’s strongest card

Three properties stack up. First, an ace turns into a natural 30.87% of the time with six decks, the single largest outcome in its row. Second, an ace can never bust on the dealer’s next card, because it drops to one. Third, an ace plus any 6 to 10 is already a finished hand between 17 and 21.

Put together, the ace leaves the fewest weak paths of any upcard. Even when the hole card is small, the dealer often reaches a soft total and keeps drawing safely. So the ace row shows the lowest bust probability on the page, and the H17 rule bites hardest there, turning a frozen soft 17 into 18 to 21.

Insurance is the bet built on this upcard, and the numbers settle it. It pays 2:1, so it needs the dealer to hold a natural more than a third of the time, 33.33%. With six decks the ace makes a natural 30.87% of the time. That gap, not a hunch, is why basic strategy declines insurance and even money.

Blackjack odds before and after the peek

At a peek table the dealer checks the hole card under a 10 or an ace before you act, and the hand ends at once if it is blackjack. If play continues, the natural is ruled out. Your decision is made with that knowledge, so the after-peek rows below are the blackjack odds that apply when you choose.

Upcard, 6 decksViewNatural1718192021Bust
10before peek7.72%11.19%11.17%11.19%34.00%3.48%21.25%
10after peekruled out12.13%12.10%12.13%36.84%3.77%23.02%
A, S17before peek30.87%13.00%13.08%13.06%13.09%5.35%11.55%
A, S17after peekruled out18.81%18.92%18.89%18.94%7.74%16.70%
A, H17before peek30.87%5.73%14.28%14.29%14.33%6.59%13.91%
A, H17after peekruled out8.28%20.66%20.68%20.73%9.53%20.13%

The 10 changes little, because a natural was only 7.72% of its outcomes. The ace changes a lot. Its dealer bust chance rises from 11.55% to 16.70% at an S17 table once the natural is gone, and from 13.91% to 20.13% under H17. Every other line grows by the same factor, because the naturals are simply taken out.

No-hole-card tables use the before-peek rows. Games Global’s Classic Blackjack, dealt at Betway in Ontario, takes its second dealer card only after you act, on five decks with the dealer standing on soft 17. A dealer natural there takes doubles and splits too, and the game publishes a 99.42% return, a 0.58% edge.

Chance of a natural, by deck count

A natural is an ace with a ten-value card as the first two cards. You and the dealer each have the same chance on a fresh shoe, and fewer decks raise it slightly, because removing the first ace from a small deck leaves the tens a larger share. Above six decks the change is too small to show.

Decks in the shoeChance of a naturalRoughly one hand in
14.83%21
24.78%21
64.75%21
84.75%21

The payout on that natural matters far more than how often it arrives. At 3:2 a C$10 blackjack returns C$15 in winnings, and at 6:5 it returns C$12. Over about one hand in 21, that difference adds up quickly. The tables page lists the payout for every game we track, and 6:5 games sit near the bottom.

Your bust probability when hitting a hard total

When you hit a hard total, only the next card counts. The table uses a full shoe, so it ignores the cards already on the felt. Because every rank appears in the same proportion in one deck or eight, the figures are identical for every deck count. Each step up removes one more rank from the safe list.

Your hard totalCards that bust youBust probability (1, 2, 6 or 8 decks)
1210, J, Q, K30.77%
139 and ten-value38.46%
148 to ten-value46.15%
157 to ten-value53.85%
166 to ten-value61.54%
175 to ten-value69.23%
184 to ten-value76.92%
193 to ten-value84.62%
202 to ten-value92.31%

A hard 16 busts on more than three draws in five, and many players stop reading there. The figure alone does not decide anything. Standing on 16 wins only when the dealer busts, so the real question is always a comparison between your bust chance and how often a stiff total survives against that particular upcard.

Blackjack Odds for the Dealer vs Odds for the Player

Basic strategy is the play that gives up the least on average. The odds above show where every cell on the strategy chart comes from. Take hard 16 against a 10 after the peek: standing loses to every dealer 17 to 21, which is 76.98% of outcomes. Hitting busts 61.54% of the time but can still reach 17 to 21.

Hard 12 shows the line moving. Against a 4, 5 or 6, the dealer busts between 39.58% and 42.28% of the time, and hitting a 12 busts 30.77%, so the chart stands. Against a 2 or 3 the dealer’s bust probability drops to 35.35% and 37.42%, and the chart hits. Against a 7 it hits as well.

Each departure from the chart has a cost that compounds over thousands of hands. Standing on 12 against a 7, for example, leaves a 26.19% dealer bust chance as your only route, while the dealer finishes on 17 in 36.92% of hands. The calculator shows the edge for your table’s full rule set rather than a single cell.

The numbers here describe long-run frequencies. They do not change the next card, and they never turn the game in your favour. Blackjack odds with basic strategy on every decision still leave the house an edge: 0.35% at Atlantic City Blackjack, eight decks with the dealer standing, and 0.53% at Evolution’s Infinite Blackjack.

Knowing that a dealer six busts 42.28% of the time is one step; standing on twelve against it without thinking is another. The blackjack trainer deals hands against every upcard on six-deck rules and names the chart play after each decision, so the odds on this page turn into habits at the table.

Checking which set of odds your table uses

Before applying any row on this page, read three lines in the game’s rules panel: how many decks, whether the dealer hits or stands on soft 17, and whether the dealer peeks. Those three facts pick the column. The live blackjack studios print them in the help screen, and RNG games list them under the game rules.

Most tables in our register stand on soft 17, so the S17 columns fit nearly all of Evolution’s and Pragmatic Play’s live games. Games Global’s Vegas Downtown and Vegas Single Deck and Evolution’s Infinite Fun Fun 21 hit it. The ace and the 6 move most between the two columns, so check those hands first.

Questions at the table

Frequently asked questions

What are the odds of the dealer busting in blackjack?

Across all upcards, a six-deck dealer who stands on soft 17 busts 28.19% of the time, and 28.58% when hitting soft 17. The upcard moves this a lot. A 6 showing busts 42.28% at an S17 table, while an ace showing busts 11.55% before the dealer checks for blackjack and 16.70% after a peek finds none.

Which dealer upcard busts the most?

With six or eight decks, the 6 busts most often: 42.28% when the dealer stands on soft 17 and 43.93% when the dealer hits it. The 5 is close behind at 41.84%. In a single-deck game where the dealer stands on soft 17, the order flips and the 5 busts slightly more, 42.89% against 42.08%.

Are blackjack odds 50/50?

No. Each hand has three outcomes, win, lose or push, and the rules tilt the long-run result toward the house. At good tables in our records the house edge sits around half a percent, for example 0.35% for Atlantic City Blackjack and 0.53% for Evolution's Infinite Blackjack. That small figure still means the casino keeps money over time.

What is the probability of getting a blackjack?

From a fresh shoe, the chance of being dealt an ace and a ten-value card is 4.83% with one deck, 4.78% with two and 4.75% with six or eight decks. That works out to roughly one hand in 21. The dealer has the same chance, so naturals arrive at the table more often than many players expect.

What are the odds of busting if you hit on 16?

Hitting a hard 16 busts on any 6, 7, 8, 9 or ten-value card. From a full shoe that is 61.54% of the time, and the figure is the same for one, two, six or eight decks. Basic strategy still hits 16 against a dealer 10, because standing wins only when that dealer busts, 23.02% after the peek.

What are the odds of busting if you hit on 12?

Only a ten-value card busts a hard 12, which is 4 of the 13 ranks, so the chance is 30.77% from a full shoe. Basic strategy hits 12 against a dealer 2, 3 or 7 and higher, and stands against 4, 5 and 6, where the dealer's own bust chance is between 39.58% and 42.28% with six decks.

Why is a dealer ace so strong?

An ace showing is a blackjack 30.87% of the time with six decks, and an ace can never break on the dealer's next card. Even after a peek rules out a natural, the dealer busts only 16.70% of the time at an S17 table, the lowest figure of any upcard, and finishes on 18 or better in most hands.

Does hitting soft 17 change the dealer's bust odds?

Yes, but only for some upcards. With six decks the ace rises from 11.55% to 13.91% and the 6 from 42.28% to 43.93%. The 2 to 5 move by 0.12 to 0.32 points. Upcards of 7 to 10 do not change at all, because a dealer starting there can never hold a soft 17.

Does the number of decks change blackjack odds?

Only a little for the dealer's totals. Six and eight decks give almost identical bust figures, usually within 0.03 points. One deck moves them more, enough to make the 5 bust more often than the 6 at an S17 table. Deck count matters more for the house edge, which is why the tables page shows it.

Should you take insurance when the dealer shows an ace?

Insurance pays 2:1, so it breaks even only if the dealer has blackjack more than a third of the time. With six decks the dealer's ace turns into a natural 30.87% of the time, below that line. Basic strategy declines insurance and even money at every table in our records for that reason.