KQo
41.89%
Wins 41.67%, ties 0.45%
A9o
58.11%
Wins 57.88%, ties 0.45%
KQo against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 41.668 | 0.447 | 57.885 | 41.892 |
| A9o | 57.885 | 0.447 | 41.668 | 58.108 |
This is a contest between two offsuit hands, KQo and A9o. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 16.22 point lead is real, and KQo still takes about 417 of every 1,000 deals outright. About 0.45% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, KQo is number 23 and A9o is number 25 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 102,742,000 | 1,102,000 | 142,728,000 |
| A9o | 142,728,000 | 1,102,000 | 102,742,000 |
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) |
|---|---|---|---|---|
| KQo | 0.721 | 2.400 | 1.728 | 1.387 |
| A9o | 1.387 | 1.728 | 2.400 | 0.721 |
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
Break the boards down by their first three cards and A9o is strongest on low rainbow flops (nine high or lower) (76.44%) and weakest on rainbow flops topped by a ten or better (51.45%). A9o 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 | KQo wins | Ties | A9o wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 48.484 | 0.123 | 51.393 | 48.546 |
| Rainbow, nine or lower | 7.042 | 23.029 | 1.067 | 75.904 | 23.562 |
| Two-tone | 46.606 | 42.913 | 0.322 | 56.765 | 43.074 |
| Monotone | 5.151 | 43.731 | 1.706 | 54.563 | 44.584 |
| Paired | 17.091 | 35.718 | 0.608 | 63.674 | 36.022 |
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
Relative to a random opponent, KQo changes by -19.57 points (baseline 61.46%) and A9o by -2.66 points (baseline 60.77%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 41.892 | 61.456 | -19.564 | 0.68166 |
| KQo, rainbow, ten or higher | 48.546 | 61.456 | -12.910 | 0.78993 |
| KQo, rainbow, nine or lower | 23.562 | 61.456 | -37.894 | 0.38340 |
| KQo, two-tone | 43.074 | 61.456 | -18.382 | 0.70089 |
| KQo, monotone | 44.584 | 61.456 | -16.872 | 0.72546 |
| KQo, paired | 36.022 | 61.456 | -25.434 | 0.58614 |
| A9o, all flops | 58.108 | 60.773 | -2.665 | 0.95615 |
| A9o, rainbow, ten or higher | 51.454 | 60.773 | -9.319 | 0.84666 |
| A9o, rainbow, nine or lower | 76.438 | 60.773 | +15.665 | 1.25776 |
| A9o, two-tone | 56.926 | 60.773 | -3.847 | 0.93670 |
| A9o, monotone | 55.416 | 60.773 | -5.357 | 0.91185 |
| A9o, paired | 63.978 | 60.773 | +3.205 | 1.05274 |
Does a shared suit matter?
Split by suits, the deals give A9o 58.12% when the hands overlap in a suit and 58.05% when they do not. The two rows differ by only 0.07 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | KQo wins | Ties | A9o wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 41.648 | 0.463 | 57.889 | 41.880 |
| No shared suit | 24 | 16.67 | 41.767 | 0.368 | 57.865 | 41.951 |
How often this matchup comes up
KQo against A9o 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
With $100 from each side, the $200 pot is split on average as $116.22 for A9o and $83.78 for KQo; the first side gains $16.22 per all-in and the second gives up $16.22.
Over a long run, 1,000 deals split into about 579 for A9o, 417 for KQo and 4 tied.
The same matchup from the other side
Read it from the other side: A9o against KQo is the same matchup with the numbers swapped, so A9o holds 58.11% and KQo holds 41.89%. That address sends you back to this page.
Keep exploring
KsQh against Ad9c 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
Nothing here is simulated. The 144 deals of KQo against A9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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