AKs
66.45%
Wins 66.20%, ties 0.48%
QJo
33.55%
Wins 33.32%, ties 0.48%
AKs against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 66.203 | 0.484 | 33.313 | 66.445 |
| QJo | 33.313 | 0.484 | 66.203 | 33.555 |
AKs and QJo are a suited hand and an offsuit hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A lead of 32.90 points is large but not decisive: QJo still takes about 333 of every 1,000 deals. Of every 100 boards, about 0.48 are split pots, and the equity figures already include them.
Among the 169 starting hands, AKs is number 8 and QJo is number 39 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 54,413,000 | 398,000 | 27,380,000 |
| QJo | 27,380,000 | 398,000 | 54,413,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| AKs | 1.980 | 1.511 | 3.002 | 0.505 |
| QJo | 0.505 | 3.002 | 1.511 | 1.980 |
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
Break the boards down by their first three cards and AKs is strongest on low rainbow flops (nine high or lower) (76.33%) and weakest on rainbow flops topped by a ten or better (62.04%). AKs stays ahead on all five textures.
| Flop | Share of flops | AKs wins | Ties | QJo wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 62.000 | 0.071 | 37.929 | 62.035 |
| Rainbow, nine or lower | 7.770 | 75.737 | 1.187 | 23.076 | 76.330 |
| Two-tone | 46.667 | 66.515 | 0.317 | 33.168 | 66.674 |
| Monotone | 5.212 | 60.874 | 2.395 | 36.731 | 62.072 |
| Paired | 17.091 | 68.359 | 0.600 | 31.041 | 68.659 |
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
A random hand would give AKs 67.05% and QJo 58.14%. Against each other the change is -0.60 points for AKs and -24.59 for QJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 66.445 | 67.045 | -0.600 | 0.99105 |
| AKs, rainbow, ten or higher | 62.035 | 67.045 | -5.010 | 0.92527 |
| AKs, rainbow, nine or lower | 76.330 | 67.045 | +9.285 | 1.13849 |
| AKs, two-tone | 66.674 | 67.045 | -0.371 | 0.99447 |
| AKs, monotone | 62.072 | 67.045 | -4.973 | 0.92583 |
| AKs, paired | 68.659 | 67.045 | +1.614 | 1.02407 |
| QJo, all flops | 33.555 | 58.135 | -24.580 | 0.57719 |
| QJo, rainbow, ten or higher | 37.965 | 58.135 | -20.170 | 0.65305 |
| QJo, rainbow, nine or lower | 23.670 | 58.135 | -34.465 | 0.40716 |
| QJo, two-tone | 33.326 | 58.135 | -24.809 | 0.57325 |
| QJo, monotone | 37.928 | 58.135 | -20.207 | 0.65241 |
| QJo, paired | 31.341 | 58.135 | -26.794 | 0.53911 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKs has 66.25%; looking only at deals where they do not, 66.64%. AKs does better with no shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | QJo wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 65.987 | 0.524 | 33.489 | 66.249 |
| No shared suit | 24 | 50.00 | 66.419 | 0.444 | 33.137 | 66.641 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $132.90 (a gain of $32.90) and QJo's is $67.10 (a loss of $32.90).
Over a long run, 1,000 deals split into about 662 for AKs, 333 for QJo and 5 tied.
The same matchup from the other side
The mirror image, QJo against AKs, is 33.55% to 66.45%, and its address redirects to this page.
Keep exploring
Open the calculator with AsKs against QhJd 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
This is an exact count with no sampling. For the 48 ways to deal one AKs and one QJo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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