AKo
61.07%
Wins 60.83%, ties 0.48%
QJs
38.93%
Wins 38.69%, ties 0.48%
AKo against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 60.829 | 0.482 | 38.689 | 61.070 |
| QJs | 38.689 | 0.482 | 60.829 | 38.930 |
AKo, an offsuit hand, plays QJs, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
AKo is ahead, but QJs is far from dead: it takes 387 of every 1,000 deals outright. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and QJs is number 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 49,996,000 | 396,000 | 31,799,000 |
| QJs | 31,799,000 | 396,000 | 49,996,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 1.569 | 1.644 | 2.585 | 0.637 |
| QJs | 0.637 | 2.585 | 1.644 | 1.569 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
AKo prefers low rainbow flops (nine high or lower), where it holds 72.35%, and likes rainbow flops topped by a ten or better least, where it holds 59.00%. AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | QJs wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 58.964 | 0.071 | 40.965 | 59.000 |
| Rainbow, nine or lower | 7.770 | 71.761 | 1.183 | 27.056 | 72.353 |
| Two-tone | 46.667 | 59.372 | 0.314 | 40.314 | 59.529 |
| Monotone | 5.212 | 57.971 | 2.394 | 39.635 | 59.168 |
| Paired | 17.091 | 63.247 | 0.600 | 36.153 | 63.547 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by -4.25 points, and QJs, from 60.26%, by -21.33.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 61.070 | 65.320 | -4.250 | 0.93494 |
| AKo, rainbow, ten or higher | 59.000 | 65.320 | -6.320 | 0.90325 |
| AKo, rainbow, nine or lower | 72.353 | 65.320 | +7.033 | 1.10767 |
| AKo, two-tone | 59.529 | 65.320 | -5.791 | 0.91134 |
| AKo, monotone | 59.168 | 65.320 | -6.152 | 0.90582 |
| AKo, paired | 63.547 | 65.320 | -1.773 | 0.97286 |
| QJs, all flops | 38.930 | 60.259 | -21.329 | 0.64604 |
| QJs, rainbow, ten or higher | 41.000 | 60.259 | -19.259 | 0.68040 |
| QJs, rainbow, nine or lower | 27.647 | 60.259 | -32.612 | 0.45880 |
| QJs, two-tone | 40.471 | 60.259 | -19.788 | 0.67162 |
| QJs, monotone | 40.832 | 60.259 | -19.427 | 0.67761 |
| QJs, paired | 36.453 | 60.259 | -23.806 | 0.60494 |
Does a shared suit matter?
The suit split reads 61.77% for AKo with a shared suit and 60.38% without one. AKo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | QJs wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.504 | 0.523 | 37.973 | 61.766 |
| No shared suit | 24 | 50.00 | 60.154 | 0.442 | 39.404 | 60.375 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $122.14 from the $200, up $22.14; QJs averages $77.86, down $22.14.
A thousand deals look like this: AKo takes 608, QJs takes 387, 5 are ties.
The same matchup from the other side
If you came looking for QJs against AKo, the numbers are the same with the hands swapped: 38.93% and 61.07%.
Keep exploring
Open the calculator with AsKh against QdJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AKo against QJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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