AQs
64.67%
Wins 64.43%, ties 0.48%
KJo
35.33%
Wins 35.09%, ties 0.48%
AQs against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 64.428 | 0.484 | 35.088 | 64.670 |
| KJo | 35.088 | 0.484 | 64.428 | 35.330 |
The first hand is a suited hand; the second is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
AQs is ahead, but KJo is far from dead: it takes 351 of every 1,000 deals outright. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.
Place 10 of 169 belongs to AQs and place 26 belongs to KJo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 52,954,000 | 398,000 | 28,839,000 |
| KJo | 28,839,000 | 398,000 | 52,954,000 |
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) |
|---|---|---|---|---|
| AQs | 1.830 | 1.552 | 2.850 | 0.546 |
| KJo | 0.546 | 2.850 | 1.552 | 1.830 |
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
Split by what the flop looks like, AQs peaks at 77.12% on low rainbow flops (nine high or lower) and bottoms out at 59.05% on rainbow flops topped by a ten or better. AQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AQs wins | Ties | KJo wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 59.011 | 0.071 | 40.918 | 59.047 |
| Rainbow, nine or lower | 7.770 | 76.525 | 1.187 | 22.288 | 77.119 |
| Two-tone | 46.667 | 64.528 | 0.317 | 35.155 | 64.687 |
| Monotone | 5.212 | 59.169 | 2.395 | 38.436 | 60.366 |
| Paired | 17.091 | 67.629 | 0.600 | 31.771 | 67.929 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give AQs 66.21% and KJo 60.57%. Against each other the change is -1.54 points for AQs and -25.24 for KJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 64.670 | 66.209 | -1.539 | 0.97676 |
| AQs, rainbow, ten or higher | 59.047 | 66.209 | -7.162 | 0.89183 |
| AQs, rainbow, nine or lower | 77.119 | 66.209 | +10.910 | 1.16478 |
| AQs, two-tone | 64.687 | 66.209 | -1.522 | 0.97701 |
| AQs, monotone | 60.366 | 66.209 | -5.843 | 0.91175 |
| AQs, paired | 67.929 | 66.209 | +1.720 | 1.02598 |
| KJo, all flops | 35.330 | 60.569 | -25.239 | 0.58330 |
| KJo, rainbow, ten or higher | 40.953 | 60.569 | -19.616 | 0.67614 |
| KJo, rainbow, nine or lower | 22.881 | 60.569 | -37.688 | 0.37777 |
| KJo, two-tone | 35.313 | 60.569 | -25.256 | 0.58302 |
| KJo, monotone | 39.634 | 60.569 | -20.935 | 0.65436 |
| KJo, paired | 32.071 | 60.569 | -28.498 | 0.52950 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AQs has 64.43% equity, and with none in common it has 64.91%. AQs does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | KJo wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 64.169 | 0.524 | 35.307 | 64.431 |
| No shared suit | 24 | 50.00 | 64.687 | 0.444 | 34.869 | 64.909 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQs gets $129.34 of it on average and KJo gets $70.66.
In 1,000 deals of exactly this matchup, expect about 644 won outright by AQs, about 351 won outright by KJo and about 5 split.
The same matchup from the other side
Swap the hands and you get KJo with 35.33% against AQs with 64.67%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with AsQs against KhJd 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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