Is My Ace Dominated? The Real Odds by Kicker and Table Size
You look down at A9 offsuit under the gun at a nine-handed table. Somewhere in the back of your head is a number you half remember about how often someone else has a better ace. It is probably the wrong number, and it is probably answering a different question than the one you are actually asking.
Here is the honest answer for that exact spot. Someone else holds an ace 69.5% of the time. Someone holds a better ace only 30.3% of the time. And someone holds a hand that is genuinely ahead of your A9, ace or not, 56.8% of the time. Three numbers, three questions, and almost every chart online collapses them into one.
Three Questions That Keep Getting Confused
Search this topic and you will find tables answering “how often does another player hold an ace.” That is a real question with a clean answer, and it is almost useless at the table, because most of those aces have a worse kicker than yours and are the hands you want them to have.
Separate them properly and the picture changes completely.
Look at the first column. It never moves. Whether you hold A2 or AQ, the chance that someone else was dealt an ace is the same 69.5%, because it depends only on the three aces left in the deck and has nothing to do with your kicker. Quoting that number as though it tells you whether you are in trouble is the single most common mistake on this topic.
The middle column is the one you actually want. And notice the third column is higher than the middle one for every hand, because plenty of hands beat your ace without containing an ace at all. Any pocket pair is already a small favourite, which is the same race we work through in our AK versus pocket deuces breakdown.
The Full Table: Every Kicker, Every Table Size
This is the chart the question deserves. Read down for your kicker, across for how many players are still to be dealt in.
Two things jump out. Heads-up, even the worst ace is fine: A2 is dominated only 11% of the time, which is why weak aces are perfectly playable short-handed. And at a full table the bottom of the chart falls apart: A2 is behind a better ace two times in three, while AQ is in trouble less than one time in ten.
A note on what counts. Domination here means an opponent holds AA or an ace with a strictly better kicker. If they hold your exact kicker rank, that is a chop, not a disaster, so it is not counted.
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Where These Numbers Come From
The heads-up column is simple enough to do by hand, and it is worth seeing once because it explains the whole shape of the table.
You hold an ace and a kicker, so 50 cards remain and your opponent has 1,225 possible two-card hands. Of those, the ones that dominate you are:
- Pocket aces: three aces are left, so there are 3 ways to pair them.
- An ace with a better kicker: 3 aces multiplied by every card ranking above your kicker.
Hold AQ and only kings beat your kicker, so that is 3 × 4 = 12 hands, plus the 3 pocket aces, giving 15 out of 1,225, or 1.22%. Hold A9 and four ranks beat you (ten through king), so 3 × 16 = 48, plus 3, giving 51 out of 1,225, or 4.16%. Hold A2 and eleven ranks beat you, giving 135 out of 1,225, or 11.02%.
Which gives you a rule you can actually carry: every rank you drop your kicker adds exactly 12 dominating hands, worth almost exactly one percentage point against a single opponent. If notation like A9 or A2 is not yet automatic, our hand notation guide covers it.
Why You Cannot Just Multiply by the Number of Players
The obvious move for the multiway columns is to take the heads-up number and apply it independently to each opponent. It is wrong, and interestingly it is wrong in the direction almost nobody expects.
For A9 against eight opponents, that shortcut gives 28.8%. The true answer is 30.3%. The shortcut understates the danger.
The reason is that everyone is dealt from the same deck and only three aces are left. If the first opponent turns out not to have an ace, those three aces are still in there waiting, so the next opponent is slightly more likely to hold one. The events push against each other, and when events are related that way the chance that at least one of them happens goes up, not down. Small effect, but it is the difference between a number you can trust and one you cannot.
Six-Max Against Full Ring: Less Than You Think
Everybody knows weak aces are worse at a full table. The size of the difference is usually overstated.
Going from five opponents to eight multiplies the domination chance by about 1.4 for A2, 1.5 for A9 and 1.6 for AQ. So a full ring table is roughly half again as dangerous, not twice as dangerous. And the multiplier is largest for the strong kickers, which is counterintuitive until you realise those numbers start from almost nothing, so there is more room to grow proportionally.
In practice this means the six-max player who moves to a nine-handed game should tighten the bottom of their ace range, but not panic about it. A9 goes from being dominated one time in five to a bit under one in three.
What It Actually Changes at the Table
Numbers are only useful if they move a decision, so here is where they do.
- Weak aces from early position are a fold, and the table says why. Opening A5 under the gun at a full table means eight players behind you and a 52.9% chance one of them holds a better ace before anyone has acted. That is not a marginal spot.
- The same hand is fine on the button. With two players left, A5 is dominated 15.7% of the time. Position does not change your cards, it changes how many chances there are to be beaten. Our positions guide covers why that shapes everything.
- Kicker quality matters more than the ace. AQ against eight opponents is safer than A5 against two. If you take one thing from the chart, take that.
- Do not read the folds as good news. When six players fold to you on the button, it is tempting to jump to the two-opponent column. But players fold ace-poor hands, so the aces that are left concentrate among the players still to act. The true figure sits a little above the raw column, not below it.
And once you are dominated, the news is bad in a specific way: a dominated ace has roughly a quarter of the equity, not a third or a half. Our equity guide has the matchup numbers, and you can check any pairing yourself in the equity calculator.
Common Questions About Dominated Aces
What are the odds my ace is dominated? Against one opponent it depends almost entirely on your kicker: 11.0% with A2, 4.2% with A9, and 1.2% with AQ. At a nine-handed table, with eight opponents, those become 66.5%, 30.3% and 9.6%. Domination here means an opponent holds AA or an ace with a strictly better kicker. An identical kicker is a chop, not domination.
How often does someone else have an ace at a full table? About 69.5% of the time when you hold one ace and eight opponents are dealt in. But that number says nothing about whether you are behind, because most of those aces have a worse kicker than yours. Holding A9 at that same table, the chance someone holds a better ace is only 30.3%.
Why can you not just multiply the one-opponent odds by the number of players? Because the hands are dealt from one shared deck and only three aces remain, so the events are not independent. For A9 against eight opponents, the usual shortcut of one minus (one minus p) to the power of eight gives 28.8%, while the true figure is 30.3%. The shortcut understates it, because an opponent missing an ace makes the next opponent slightly more likely to hold one.
How much does each kicker rank actually change the odds? Against a single opponent, exactly 12 combinations out of the 1,225 possible hands, which is 0.98 percentage points per rank. AQ is dominated by 15 combinations, A9 by 51, and A2 by 135. The effect compounds with more opponents, but not evenly: at a nine-handed table the step from AQ to AJ costs about 7 points while the step from A3 to A2 costs about 4.
Is a full ring table twice as dangerous as six-max for weak aces? No, it is roughly half again as dangerous, not double. Going from five opponents to eight multiplies the domination chance by about 1.4 for A2, 1.5 for A9 and 1.6 for AQ. The jump is real but smaller than most players assume, and it matters more for strong kickers than for weak ones.
Putting It Into Practice
The table above is worth one honest caveat. It assumes opponents hold random cards, and real opponents do not. A player who already raised has an ace far more often than the chart says, and a player who folded has one far less often. Treat these numbers as the baseline you adjust from, not as a read.
But the baseline is the part almost nobody has right, and getting it right kills a whole category of mistake. Weak aces are not the problem. Weak aces with a lot of players behind you are the problem, and now you know roughly what the price is. What remains is recognising the spot fast enough to act on it, which comes from seeing it a few hundred times, not from remembering a chart. Our starting hands guide covers where the ace range should start from each seat.
Turn the Chart Into a Reflex
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