Hard 16 against a dealer 10. You take a card, a queen lands, and the hand is over before the dealer even turns the hole card. It is easy to walk away convinced that hitting 16 is reckless, and the numbers seem to agree: one hit on hard 16 busts more often than not.
Yet basic strategy hits that hand anyway, or surrenders it where the table allows. And it stands on 12 against a 4, where a hit would bust far less often. Both plays look backward if bust chance is the only number in your head.
The fix is to know the bust numbers exactly, then understand why they are only half of every hit or stand decision.
The one-card bust table
The cleanest way to calculate bust chances uses the infinite-deck approximation: every card drawn is equally likely to be any of the thirteen ranks, a 1 in 13 chance each. Four ranks are worth ten (10, jack, queen and king), so a ten-value card arrives 4 times in 13. On a hard total of 12 or more, an ace counts as 1.
From there it is just counting. Find how many ranks push the total past 21, then divide by 13.
| Hard total | Cards that bust it | Chance of busting with one hit |
|---|---|---|
| 11 or less | None | 0% |
| 12 | Ten-value cards (4 ranks) | 4/13, about 30.8% |
| 13 | 9 and ten-value (5 ranks) | 5/13, about 38.5% |
| 14 | 8 through ten-value (6 ranks) | 6/13, about 46.2% |
| 15 | 7 through ten-value (7 ranks) | 7/13, about 53.8% |
| 16 | 6 through ten-value (8 ranks) | 8/13, about 61.5% |
| 17 | 5 through ten-value (9 ranks) | 9/13, about 69.2% |
| 18 | 4 through ten-value (10 ranks) | 10/13, about 76.9% |
| 19 | 3 through ten-value (11 ranks) | 11/13, about 84.6% |
| 20 | 2 through ten-value (12 ranks) | 12/13, about 92.3% |
| 21 | Every card (13 ranks) | 100% |
Hard 11 or less cannot bust at all, because the largest card adds 10 and an ace can always count as 1. At the other end, hard 17 and up are never hit under basic strategy, and with a one-card bust chance above two in three, it is not hard to see why.
Each point adds one busting rank
Read down the table and the pattern is plain. Every point from 12 upward adds exactly one more rank that busts you, so the bust chance climbs in equal steps of 1/13, about 7.7 percentage points per point of total.
That replaces a dozen numbers with two. Start from about 30.8 percent for 12, then add roughly 7.7 points per step. Hard 14 is two steps: about 46.2 percent. Hard 16 is four: about 61.5 percent. Rounding drifts by a tenth, but the shape is exact.
Soft totals sit outside the table. A soft hand counts an ace as 11, and if a hit would push it past 21 the ace simply drops back to 1. No single card can bust a soft hand, which is why soft 17 and soft 18 get hit or doubled in spots where a hard 17 or 18 would stand. Our guide to soft hands covers how to play them.
Real decks shift the numbers a little
The infinite-deck figures assume every rank stays equally likely no matter what has been dealt. A real deck does not work that way: every card face up on the table is a card that is not waiting in the shoe.
Take a hard 12 made of a 10 and a 2, against a dealer 10, in a single deck. Two ten-value cards are already showing, so 14 of the deck's 16 ten-value cards remain among the 49 cards you have not seen. The chance of busting on one hit is 14/49, about 28.6 percent instead of 30.8.
Now play the same hand from a six-deck shoe. The shoe starts with 96 ten-value cards among 312. Remove the two you can see and 94 remain among 309 unseen cards, about 30.4 percent. The more decks, the less each visible card matters, and the closer the real figure sits to the infinite-deck number.
Composition matters too. Build that single-deck 12 from a 4 and an 8 instead, still against a dealer 10, and only one ten-value card is gone: 15 of 16 remain among 49, about 30.6 percent. Same total, different bust chance. Shifts like these are small, but they help explain why charts built for one or two decks differ from multi-deck charts in a few close cells.
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Bust chance is only half the decision
A bust chance tells you what hitting risks. It says nothing about what standing is worth, and every hit or stand decision compares the two. Our article on expected value frames each decision exactly this way.
Hard 16 against a dealer 10 is the classic case. Hitting busts about 61.5 percent of the time, which sounds like a reason to stand. But standing on 16 wins only one way: the dealer has to bust. Even a dealer 5 or 6 busts less than half the time per the commonly published tables, and a 10 busts far less often, so standing loses most of the time too. Hitting at least gives the hand a chance: an ace through 5, five of the thirteen ranks, makes 17 through 21. Basic strategy weighs two losing options and hits, or surrenders where late surrender is offered. The full reasoning is in our breakdown of 16 against a 10.
Hard 12 against a dealer 4 runs the other way. A hit busts only about 30.8 percent of the time, which sounds like a reason to hit. Basic strategy stands anyway, because a dealer 4 has to draw to at least 17 and breaks often enough that standing is worth more than what a hit buys. Against a 2 or 3 the balance tips back toward hitting, which is why those cells are among the closest calls on the chart, as our article on 12 against a 2 and a 3 explains.
Not busting is not the same as improving
The table counts the cards that end your hand. It does not count the cards that leave you no better off. Sort the thirteen ranks for a hard 12:
- Bust: the four ten-value ranks, 4/13.
- Still a stiff: an ace, 2, 3 or 4, leaving 13 through 16, 4/13.
- A made hand: a 5 through 9, reaching 17 through 21, 5/13.
So a hit on 12 reaches 17 or better on the next card only 5 times in 13, about 38.5 percent, and the other non-busting results hand you a new stiff and a new decision. When that happens, the bust table starts over from the new total. Hitting is really a choice to keep drawing until the chart says stop, and our guide on when to hit and when to stand lays out where those stopping points sit.
Why a player bust is the house's edge
One rule quietly turns these numbers into the house's advantage: the player acts first. If you bust, your bet is lost immediately, and it stays lost even when the dealer goes on to bust in the same round. Whenever both hands would break, the house wins.
That order of play is the core of the house edge. The player's options (doubling, splitting, standing on stiffs against weak upcards) and the 3:2 blackjack payout give much of it back, but not all. Under liberal multi-deck rules, perfect basic strategy still leaves a house edge of roughly 0.5 percent per the commonly published figures, and our explainer on the house edge puts that number in context.
Knowing bust chances will not make a busted 16 feel better, and no arithmetic removes the risk of the game. It does make the chart's odd-looking plays logical, and a play that makes sense is easier to trust on the hand where it goes wrong.
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Frequently asked questions
What are the odds of busting on 16 in blackjack?
About 61.5 percent with one hit, using the standard infinite-deck approximation. Eight of the thirteen ranks bust a hard 16: the 6, 7, 8, 9 and the four ten-value ranks, so the chance is 8/13. Real decks shift this slightly depending on which cards are visible. Basic strategy still hits 16 against a dealer 10, or surrenders where allowed, because standing wins only when the dealer busts.
What is the chance of busting on 12 in blackjack?
About 30.8 percent with one hit, because only the four ten-value ranks bust a hard 12, a chance of 4/13. In a single deck, a 10 and a 2 against a dealer 10 busts slightly less often, about 28.6 percent, because two ten-value cards are already visible. Another 4/13 of hits leave you holding a stiff between 13 and 16.
How much does each extra point increase your chance of busting?
About 7.7 percentage points, or 1/13, for each point from hard 12 upward. Every extra point adds one more card rank that pushes the hand past 21. Hard 12 busts on one hit about 30.8 percent of the time, hard 13 about 38.5 percent, and so on up to hard 21, which busts on any card. Hard 11 or less cannot bust on one card.
Can you bust on a soft hand in blackjack?
Not with one card. A soft hand counts an ace as 11, and if a hit would take the total past 21, the ace drops back to counting as 1. The hand then becomes a hard total, which can bust on later hits. That flexibility is why basic strategy hits or doubles soft totals in spots where the same hard total would stand.
Should you stand on 12 because the dealer might bust?
It depends on the dealer upcard, not on your bust chance alone. Per the commonly published multi-deck basic strategy charts, stand on hard 12 against a dealer 4, 5 or 6, and hit it against a 2, a 3, or 7 through ace. A hit on 12 busts only about 30.8 percent of the time, but against a 4, 5 or 6 standing is still worth more.