A9s
60.20%
Wins 59.97%, ties 0.46%
KJo
39.80%
Wins 39.57%, ties 0.46%
A9s against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 59.968 | 0.459 | 39.573 | 60.198 |
| KJo | 39.573 | 0.459 | 59.968 | 39.802 |
The matchup pits a suited hand against an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 20.40 point lead is real, and KJo still takes about 396 of every 1,000 deals outright. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.
A9s ranks number 18 of 169 starting hands, and KJo ranks number 26, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 49,288,000 | 377,000 | 32,525,000 |
| KJo | 32,525,000 | 377,000 | 49,288,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A9s | 1.512 | 1.668 | 2.527 | 0.661 |
| KJo | 0.661 | 2.527 | 1.668 | 1.512 |
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
A9s prefers low rainbow flops (nine high or lower), where it holds 76.98%, and likes rainbow flops topped by a ten or better least, where it holds 52.87%. A9s 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 | A9s wins | Ties | KJo wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 52.810 | 0.125 | 47.065 | 52.873 |
| Rainbow, nine or lower | 7.042 | 76.505 | 0.953 | 22.542 | 76.982 |
| Two-tone | 46.667 | 59.710 | 0.286 | 40.004 | 59.853 |
| Monotone | 5.212 | 55.452 | 2.378 | 42.170 | 56.641 |
| Paired | 17.091 | 65.284 | 0.612 | 34.104 | 65.590 |
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
Compared with a random opponent, this matchup shifts A9s from 62.78% by -2.58 points and KJo from 60.57% by -20.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 60.198 | 62.781 | -2.583 | 0.95886 |
| A9s, rainbow, ten or higher | 52.873 | 62.781 | -9.908 | 0.84218 |
| A9s, rainbow, nine or lower | 76.982 | 62.781 | +14.201 | 1.22620 |
| A9s, two-tone | 59.853 | 62.781 | -2.928 | 0.95336 |
| A9s, monotone | 56.641 | 62.781 | -6.140 | 0.90220 |
| A9s, paired | 65.590 | 62.781 | +2.809 | 1.04474 |
| KJo, all flops | 39.802 | 60.569 | -20.767 | 0.65713 |
| KJo, rainbow, ten or higher | 47.127 | 60.569 | -13.442 | 0.77807 |
| KJo, rainbow, nine or lower | 23.018 | 60.569 | -37.551 | 0.38003 |
| KJo, two-tone | 40.147 | 60.569 | -20.422 | 0.66283 |
| KJo, monotone | 43.359 | 60.569 | -17.210 | 0.71586 |
| KJo, paired | 34.410 | 60.569 | -26.159 | 0.56811 |
Does a shared suit matter?
Split by suits, the deals give A9s 59.86% when the hands overlap in a suit and 60.53% when they do not. A9s does better with no shared suit, by 0.67 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | KJo wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.613 | 0.500 | 39.887 | 59.863 |
| No shared suit | 24 | 50.00 | 60.323 | 0.419 | 39.258 | 60.533 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A9s in one seat and KJo in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: A9s averages $120.40 back, ahead of its $100 by $20.40, while KJo averages $79.60, short of its $100 by $20.40.
A thousand deals look like this: A9s takes 600, KJo takes 396, 4 are ties.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 39.80%, and from A9s' side it is 60.20%.
Keep exploring
Try As9s against KhJd 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
We counted every case. Each suit pattern of the 48 specific A9s against KJo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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