AQo vs JJ ace-queen offsuit against pocket jacks
All-in before the flop, ace-queen offsuit wins 42.9% of boards, pocket jacks wins 56.7%, and 0.4% split the pot. JJ is a 1.32 to 1 favourite. These are not samples: the engine dealt every one of the 1,712,304 possible five-card boards for each of the 4 ways the suits can line up, and the working is below.
Equity counts a split pot as half a win for each side, which is why the two equities add to 100% and the two win rates do not.
A pair against two overcards
The race people call a coin flip. The pair is ahead now and stays ahead unless the board pairs one of the two higher cards or makes a straight or flush for them. It is close, but it is rarely exactly 50/50, and which side is favoured depends on how much straight and flush potential the unpaired hand has.
Suits change it by 0.81 points
There are 72 ways to deal AQo against JJ without the two hands sharing a card, and they fall into 4 patterns once you ignore which suit is which. Best case for AQo is 43.48% (for example A♣Q♦ against J♣J♦), worst is 42.67% (A♣Q♦ against J♥J♠). The headline number is the average over all 72, weighted by how many deals share each pattern.
| Example deal | Suits in common | Deals like it | AQo wins | Split | JJ wins | AQo equity |
|---|---|---|---|---|---|---|
| A♣Q♦ vs J♣J♦ | A–J, Q–J | 12 of 72 | 740,423 | 8,215 | 963,666 | 43.48% |
| A♣Q♦ vs J♦J♥ | Q–J | 24 of 72 | 734,221 | 6,846 | 971,237 | 43.08% |
| A♣Q♦ vs J♣J♥ | A–J | 24 of 72 | 734,149 | 6,852 | 971,303 | 43.08% |
| A♣Q♦ vs J♥J♠ | none | 12 of 72 | 727,947 | 5,483 | 978,874 | 42.67% |
Click any deal to run it in the equity calculator, which counts the same boards in your browser, or add a third hand, a flop or a dead card to it.
How each hand wins
The made hand the winner shows down with, as a share of all boards. AQo wins most often with pair (17.3% of boards); JJ with two pair (21.2%). Splits happen when both hands play the same five cards or make the same hand, mostly straights.
| Made hand | AQo wins with it | JJ wins with it | Split with it |
|---|---|---|---|
| Pair | 17.32% | 13.49% | – |
| Two pair | 17.02% | 21.25% | – |
| Three of a kind | 2.61% | 10.59% | – |
| Straight | 1.79% | 1.47% | 0.31% |
| Flush | 1.72% | 1.07% | 0.07% |
| Full house | 2.27% | 7.96% | 0.01% |
| Four of a kind | 0.14% | 0.89% | 0.00% |
| Straight flush | 0.01% | 0.02% | 0.00% |
| Total | 42.88% | 56.72% | 0.40% |
When calling with AQo is right
If you call an all-in of S with AQo and know you are up against exactly JJ, you win 43.08% of a pot that holds 2S plus whatever dead money D was already in the middle (blinds, antes, earlier bets). Calling breaks even when 43.08% × (2S + D) = S, so D ÷ S = 1 ÷ 0.4308 − 2 = 0.321. A 10 bb shove needs at least 3.2 bb of dead money before calling it with AQo stops losing chips. Nobody shows you their hand, though: against a real shove you are calling a range, and the push/fold charts already account for it.
Open this as a spot: AQo (dealt as A♣Q♦, the most common suit pattern) facing a 10 bb all-in with 2.5 bb already in the middle, against a range of exactly JJ. The calculator samples runouts rather than dealing all of them, so expect its equity to land within a few tenths of a point of the exact figure for that deal. Change the pot, the bet or the range and it reprices.
Each hand has its own page with its equity against all 169 starting hands and its push/fold range at every stack depth.
More with AQo or JJ
Other pair vs two overcards matchups
- Exhaustive, not sampled. With four cards dealt, 48 remain, and there are C(48, 5) = 1,712,304 five-card boards. For each suit pattern our Rust engine (the same WebAssembly file the trainer runs) evaluated both seven-card hands on every board and counted wins, splits and losses. The board counts in the suit table are exact; anyone with an enumerator can reproduce them digit for digit.
- Suit patterns. Two deals are the same pattern when one becomes the other by renaming suits (clubs to hearts, say), which cannot change who wins. Each pattern is enumerated once and weighted by how many of the 72 deals it stands for.
- Cross-check. The site's independent Monte Carlo matrix (200,000 random boards per matchup, used on the starting-hand pages) has AQo at 43.37% here, 0.29 points from the exact figure. The build fails if any matchup disagrees by more than 0.4 points.
- All-in preflop only. This is the equity when the money goes in before the flop and five cards are dealt with no more decisions. It says nothing about how the hands play when there is betting left.
- Raw data: aqo-vs-jj.json and the summary matchups.json, built by
tools/build-matchups.mjs.