A9o
58.02%
Wins 57.80%, ties 0.43%
KTo
41.98%
Wins 41.77%, ties 0.43%
A9o against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 57.803 | 0.427 | 41.770 | 58.016 |
| KTo | 41.770 | 0.427 | 57.803 | 41.984 |
The matchup is offsuit hands on both sides, A9o against KTo. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A9o is ahead, but KTo is far from dead: it takes 418 of every 1,000 deals outright. 0.43% of boards are ties, so the equity of each hand is its win rate plus half of that.
A9o ranks number 25 of 169 starting hands, and KTo ranks number 33, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 142,526,000 | 1,053,000 | 102,993,000 |
| KTo | 102,993,000 | 1,053,000 | 142,526,000 |
144 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A9o | 1.382 | 1.730 | 2.394 | 0.724 |
| KTo | 0.724 | 2.394 | 1.730 | 1.382 |
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
If you know the kind of flop that came, the numbers shift: A9o holds 75.21% on low rainbow flops (nine high or lower) and 51.66% on rainbow flops topped by a ten or better. 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 | KTo wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 51.581 | 0.160 | 48.259 | 51.661 |
| Rainbow, nine or lower | 7.042 | 74.794 | 0.822 | 24.384 | 75.205 |
| Two-tone | 46.606 | 56.662 | 0.297 | 43.041 | 56.810 |
| Monotone | 5.151 | 54.469 | 1.688 | 43.843 | 55.313 |
| Paired | 17.091 | 63.695 | 0.616 | 35.689 | 64.003 |
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
How much does the opponent matter? Compared with its random-hand 60.77%, A9o changes by -2.75 points, and KTo, from 59.74%, by -17.76.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 58.016 | 60.773 | -2.757 | 0.95463 |
| A9o, rainbow, ten or higher | 51.661 | 60.773 | -9.112 | 0.85006 |
| A9o, rainbow, nine or lower | 75.205 | 60.773 | +14.432 | 1.23747 |
| A9o, two-tone | 56.810 | 60.773 | -3.963 | 0.93479 |
| A9o, monotone | 55.313 | 60.773 | -5.460 | 0.91016 |
| A9o, paired | 64.003 | 60.773 | +3.230 | 1.05315 |
| KTo, all flops | 41.984 | 59.739 | -17.755 | 0.70279 |
| KTo, rainbow, ten or higher | 48.339 | 59.739 | -11.400 | 0.80917 |
| KTo, rainbow, nine or lower | 24.795 | 59.739 | -34.944 | 0.41506 |
| KTo, two-tone | 43.190 | 59.739 | -16.549 | 0.72298 |
| KTo, monotone | 44.687 | 59.739 | -15.052 | 0.74804 |
| KTo, paired | 35.997 | 59.739 | -23.742 | 0.60257 |
Does a shared suit matter?
The suit split reads 58.03% for A9o with a shared suit and 57.96% without one. The two rows differ by only 0.07 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | A9o wins | Ties | KTo wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 57.806 | 0.443 | 41.751 | 58.027 |
| No shared suit | 24 | 16.67 | 57.787 | 0.348 | 41.865 | 57.961 |
How often this matchup comes up
This page stands for 144 specific-card matchups (0.0089% of 1,624,350 ordered deals), or 288 once you count the seats both ways (0.0177%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A9o averages $116.04 from the $200, up $16.04; KTo averages $83.96, down $16.04.
Per 1,000 deals: A9o wins about 578, KTo wins about 418, and about 4 end in a split pot.
The same matchup from the other side
One page covers both views. From KTo's side the equity is 41.98%, and from A9o's side it is 58.02%.
Keep exploring
The calculator link fills in As9h against KdTc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 144 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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