AKo
64.83%
Wins 64.60%, ties 0.47%
QJo
35.17%
Wins 34.93%, ties 0.47%
AKo against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 64.600 | 0.468 | 34.932 | 64.834 |
| QJo | 34.932 | 0.468 | 64.600 | 35.166 |
Both hands are offsuit hands: AKo and QJo. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.47% of the boards, and both equity figures count them as half a win each.
The hand ranking puts AKo at 12 and QJo at 39 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 159,285,000 | 1,154,000 | 86,132,000 |
| QJo | 86,132,000 | 1,154,000 | 159,285,000 |
The board total is exact, 144 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 1.844 | 1.548 | 2.863 | 0.542 |
| QJo | 0.542 | 2.863 | 1.548 | 1.844 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
AKo prefers low rainbow flops (nine high or lower), where it holds 75.27%, and likes rainbow flops topped by a ten or better least, where it holds 60.76%. AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | QJo wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 60.719 | 0.074 | 39.207 | 60.756 |
| Rainbow, nine or lower | 7.771 | 74.646 | 1.241 | 24.113 | 75.267 |
| Two-tone | 46.606 | 64.191 | 0.349 | 35.460 | 64.366 |
| Monotone | 5.151 | 62.956 | 1.724 | 35.320 | 63.818 |
| Paired | 17.091 | 66.951 | 0.600 | 32.449 | 67.251 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -0.49 points for AKo, from 65.32%, and -22.97 for QJo, from 58.14%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 64.834 | 65.320 | -0.486 | 0.99256 |
| AKo, rainbow, ten or higher | 60.756 | 65.320 | -4.564 | 0.93013 |
| AKo, rainbow, nine or lower | 75.267 | 65.320 | +9.947 | 1.15228 |
| AKo, two-tone | 64.366 | 65.320 | -0.954 | 0.98539 |
| AKo, monotone | 63.818 | 65.320 | -1.502 | 0.97701 |
| AKo, paired | 67.251 | 65.320 | +1.931 | 1.02956 |
| QJo, all flops | 35.166 | 58.135 | -22.969 | 0.60490 |
| QJo, rainbow, ten or higher | 39.244 | 58.135 | -18.891 | 0.67505 |
| QJo, rainbow, nine or lower | 24.733 | 58.135 | -33.402 | 0.42544 |
| QJo, two-tone | 35.634 | 58.135 | -22.501 | 0.61295 |
| QJo, monotone | 36.182 | 58.135 | -21.953 | 0.62238 |
| QJo, paired | 32.749 | 58.135 | -25.386 | 0.56333 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 64.94%; looking only at deals where they do not, 64.30%. AKo does better with a shared suit, by 0.64 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | QJo wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 64.699 | 0.484 | 34.817 | 64.941 |
| No shared suit | 24 | 16.67 | 64.102 | 0.388 | 35.510 | 64.296 |
How often this matchup comes up
This page stands for 144 specific-card matchups (0.0089% of 1,624,350 ordered deals), or 288 once you count the seats both ways (0.0177%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $129.66 from the $200, up $29.66; QJo averages $70.34, down $29.66.
A thousand deals look like this: AKo takes 646, QJo takes 349, 5 are ties.
The same matchup from the other side
The reversed view, QJo against AKo, shows 35.17% for QJo and 64.83% for AKo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsKh against QdJc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 144 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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