A9o
74.14%
Wins 73.07%, ties 2.14%
K9o
25.86%
Wins 24.79%, ties 2.14%
A9o against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 73.067 | 2.139 | 24.794 | 74.137 |
| K9o | 24.794 | 2.139 | 73.067 | 25.863 |
A9o and K9o are both offsuit hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A9o is the clear favorite, though K9o gets there on roughly one board in 4. 2.14% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, A9o is number 25 of the 169 starting hands and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 135,122,000 | 3,956,000 | 45,851,000 |
| K9o | 45,851,000 | 3,956,000 | 135,122,000 |
Exact total: 108 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 | 2.867 | 1.369 | 4.033 | 0.349 |
| K9o | 0.349 | 4.033 | 1.369 | 2.867 |
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
The flop changes the picture. A9o does best on low rainbow flops (nine high or lower), at 86.01%, and worst on monotone flops, at 68.48%. 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 | K9o wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.731 | 70.263 | 1.564 | 28.173 | 71.045 |
| Rainbow, nine or lower | 6.314 | 83.892 | 4.227 | 11.881 | 86.005 |
| Two-tone | 46.477 | 72.437 | 2.023 | 25.540 | 73.449 |
| Monotone | 5.144 | 67.089 | 2.773 | 30.138 | 68.476 |
| Paired | 17.334 | 76.587 | 2.322 | 21.091 | 77.748 |
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
Relative to a random opponent, A9o changes by +13.37 points (baseline 60.77%) and K9o by -31.95 points (baseline 57.81%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 74.137 | 60.773 | +13.364 | 1.21990 |
| A9o, rainbow, ten or higher | 71.045 | 60.773 | +10.272 | 1.16902 |
| A9o, rainbow, nine or lower | 86.005 | 60.773 | +25.232 | 1.41518 |
| A9o, two-tone | 73.449 | 60.773 | +12.676 | 1.20858 |
| A9o, monotone | 68.476 | 60.773 | +7.703 | 1.12675 |
| A9o, paired | 77.748 | 60.773 | +16.975 | 1.27932 |
| K9o, all flops | 25.863 | 57.812 | -31.949 | 0.44736 |
| K9o, rainbow, ten or higher | 28.955 | 57.812 | -28.857 | 0.50085 |
| K9o, rainbow, nine or lower | 13.995 | 57.812 | -43.817 | 0.24208 |
| K9o, two-tone | 26.551 | 57.812 | -31.261 | 0.45926 |
| K9o, monotone | 31.524 | 57.812 | -26.288 | 0.54528 |
| K9o, paired | 22.252 | 57.812 | -35.560 | 0.38490 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A9o has 74.24%; looking only at deals where they do not, 73.78%. A9o does better with a shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | K9o wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 73.157 | 2.164 | 24.679 | 74.239 |
| No shared suit | 24 | 22.22 | 72.754 | 2.050 | 25.196 | 73.779 |
How often this matchup comes up
How often does it happen? 108 of the 1,624,350 ordered deals (0.0066%) are A9o against K9o, and 216 (0.0133%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. A9o's equity of 74.14% is worth $148.28, a $48.28 edge, and K9o's 25.86% is worth $51.72, which is $48.28 under its stake.
Out of 1,000 deals you should see around 731 outright wins for A9o, 248 for K9o, and 21 split pots.
The same matchup from the other side
One page covers both views. From K9o's side the equity is 25.86%, and from A9o's side it is 74.14%.
Keep exploring
As9h against Kd9c 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 108 deals of A9o against K9o 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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