A9o
58.06%
Wins 57.84%, ties 0.44%
KJo
41.94%
Wins 41.72%, ties 0.44%
A9o against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 57.841 | 0.437 | 41.722 | 58.059 |
| KJo | 41.722 | 0.437 | 57.841 | 41.941 |
This is a contest between two offsuit hands, A9o and KJo. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A9o is ahead, but KJo is far from dead: it takes 417 of every 1,000 deals outright. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.
Place 25 of 169 belongs to A9o and place 26 belongs to KJo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 142,620,000 | 1,078,000 | 102,875,000 |
| KJo | 102,875,000 | 1,078,000 | 142,620,000 |
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) |
|---|---|---|---|---|
| A9o | 1.384 | 1.729 | 2.397 | 0.722 |
| KJo | 0.722 | 2.397 | 1.729 | 1.384 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures A9o's equity moves by 24.55 points, from 51.49% on rainbow flops topped by a ten or better to 76.04% on low rainbow flops (nine high or lower). 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 | A9o wins | Ties | KJo wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 51.428 | 0.129 | 48.443 | 51.492 |
| Rainbow, nine or lower | 7.042 | 75.543 | 0.989 | 23.468 | 76.038 |
| Two-tone | 46.606 | 56.712 | 0.310 | 42.978 | 56.867 |
| Monotone | 5.151 | 54.514 | 1.697 | 43.789 | 55.363 |
| Paired | 17.091 | 63.673 | 0.612 | 35.715 | 63.979 |
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
The table below sets each hand against its own random-hand baseline: a change of -2.71 points for A9o, from 60.77%, and -18.63 for KJo, from 60.57%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 58.059 | 60.773 | -2.714 | 0.95534 |
| A9o, rainbow, ten or higher | 51.492 | 60.773 | -9.281 | 0.84728 |
| A9o, rainbow, nine or lower | 76.038 | 60.773 | +15.265 | 1.25118 |
| A9o, two-tone | 56.867 | 60.773 | -3.906 | 0.93573 |
| A9o, monotone | 55.363 | 60.773 | -5.410 | 0.91098 |
| A9o, paired | 63.979 | 60.773 | +3.206 | 1.05275 |
| KJo, all flops | 41.941 | 60.569 | -18.628 | 0.69245 |
| KJo, rainbow, ten or higher | 48.508 | 60.569 | -12.061 | 0.80087 |
| KJo, rainbow, nine or lower | 23.962 | 60.569 | -36.607 | 0.39561 |
| KJo, two-tone | 43.133 | 60.569 | -17.436 | 0.71213 |
| KJo, monotone | 44.637 | 60.569 | -15.932 | 0.73696 |
| KJo, paired | 36.021 | 60.569 | -24.548 | 0.59471 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A9o has 58.07% equity, and with none in common it has 58.00%. The two rows differ by only 0.07 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | A9o wins | Ties | KJo wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 57.844 | 0.453 | 41.703 | 58.071 |
| No shared suit | 24 | 16.67 | 57.823 | 0.358 | 41.819 | 58.002 |
How often this matchup comes up
A9o 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 A9o takes back $116.12 of it, which is $16.12 more than it put in, and KJo takes back $83.88, $16.12 less than it put in.
Out of 1,000 deals you should see around 579 outright wins for A9o, 417 for KJo, and 4 split pots.
The same matchup from the other side
Read it from the other side: KJo against A9o is the same matchup with the numbers swapped, so KJo holds 41.94% and A9o holds 58.06%. That address sends you back to this page.
Keep exploring
Try As9h against KdJc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Nothing here is simulated. The 144 deals of A9o against KJo 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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