AQo
62.88%
Wins 62.65%, ties 0.47%
KJo
37.12%
Wins 36.88%, ties 0.47%
AQo against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 62.648 | 0.468 | 36.884 | 62.882 |
| KJo | 36.884 | 0.468 | 62.648 | 37.118 |
Here offsuit hands face each other, AQo on one side and KJo on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AQo is ahead, but KJo is far from dead: it takes 369 of every 1,000 deals outright. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, AQo is number 14 of the 169 starting hands and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 154,472,000 | 1,154,000 | 90,946,000 |
| KJo | 90,946,000 | 1,154,000 | 154,472,000 |
Exact total: 144 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) |
|---|---|---|---|---|
| AQo | 1.694 | 1.596 | 2.711 | 0.590 |
| KJo | 0.590 | 2.711 | 1.596 | 1.694 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for AQo (76.13%); rainbow flops topped by a ten or better are the worst (57.74%). AQo 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 | AQo wins | Ties | KJo wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 57.699 | 0.074 | 42.227 | 57.736 |
| Rainbow, nine or lower | 7.771 | 75.509 | 1.241 | 23.250 | 76.129 |
| Two-tone | 46.606 | 62.003 | 0.349 | 37.648 | 62.177 |
| Monotone | 5.151 | 59.882 | 1.724 | 38.394 | 60.744 |
| Paired | 17.091 | 66.163 | 0.600 | 33.237 | 66.463 |
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
How much does the opponent matter? Compared with its random-hand 64.43%, AQo changes by -1.55 points, and KJo, from 60.57%, by -23.45.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 62.882 | 64.432 | -1.550 | 0.97594 |
| AQo, rainbow, ten or higher | 57.736 | 64.432 | -6.696 | 0.89608 |
| AQo, rainbow, nine or lower | 76.129 | 64.432 | +11.697 | 1.18154 |
| AQo, two-tone | 62.177 | 64.432 | -2.255 | 0.96500 |
| AQo, monotone | 60.744 | 64.432 | -3.688 | 0.94276 |
| AQo, paired | 66.463 | 64.432 | +2.031 | 1.03152 |
| KJo, all flops | 37.118 | 60.569 | -23.451 | 0.61282 |
| KJo, rainbow, ten or higher | 42.264 | 60.569 | -18.305 | 0.69778 |
| KJo, rainbow, nine or lower | 23.871 | 60.569 | -36.698 | 0.39411 |
| KJo, two-tone | 37.823 | 60.569 | -22.746 | 0.62446 |
| KJo, monotone | 39.256 | 60.569 | -21.313 | 0.64812 |
| KJo, paired | 33.537 | 60.569 | -27.032 | 0.55370 |
Does a shared suit matter?
The suit split reads 62.95% for AQo with a shared suit and 62.56% without one. AQo does better with a shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | KJo wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 62.703 | 0.484 | 36.813 | 62.945 |
| No shared suit | 24 | 16.67 | 62.368 | 0.388 | 37.244 | 62.562 |
How often this matchup comes up
AQo against KJo is made up of 144 specific-card matchups in one seat order, 0.0089% of the 1,624,350 ordered deals, and 288 counting both seat orders, 0.0177%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AQo takes back $125.76 of it, which is $25.76 more than it put in, and KJo takes back $74.24, $25.76 less than it put in.
Out of 1,000 deals you should see around 626 outright wins for AQo, 369 for KJo, and 5 split pots.
The same matchup from the other side
The mirror image, KJo against AQo, is 37.12% to 62.88%, and its address redirects to this page.
Keep exploring
AsQh against KdJc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 144 ways to deal one AQo and one KJo 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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