K9o
60.21%
Wins 59.85%, ties 0.72%
53s
39.79%
Wins 39.43%, ties 0.72%
K9o against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 59.848 | 0.722 | 39.430 | 60.209 |
| 53s | 39.430 | 0.722 | 59.848 | 39.791 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 20.42 point lead is real, and 53s still takes about 394 of every 1,000 deals outright. The tie share is 0.72%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, K9o is number 40 and 53s is number 146 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 49,189,000 | 593,000 | 32,408,000 |
| 53s | 32,408,000 | 593,000 | 49,189,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| K9o | 1.513 | 1.671 | 2.536 | 0.661 |
| 53s | 0.661 | 2.536 | 1.671 | 1.513 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
K9o prefers rainbow flops topped by a ten or better, where it holds 64.97%, and likes low rainbow flops (nine high or lower) least, where it holds 45.35%. The overall edge for K9o hides low rainbow flops (nine high or lower), where 53s comes out in front.
| Flop | Share of flops | K9o wins | Ties | 53s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.784 | 0.366 | 34.850 | 64.967 |
| Rainbow, nine or lower | 5.689 | 44.917 | 0.865 | 54.218 | 45.350 |
| Two-tone | 46.667 | 58.338 | 0.430 | 41.232 | 58.553 |
| Monotone | 5.212 | 57.168 | 2.567 | 40.265 | 58.451 |
| Paired | 17.091 | 62.438 | 1.440 | 36.122 | 63.158 |
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
Against one random hand instead, K9o holds 57.81% and 53s holds 39.69%. Facing each other changes that by +2.40 points for K9o and +0.10 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 60.209 | 57.812 | +2.397 | 1.04146 |
| K9o, rainbow, ten or higher | 64.967 | 57.812 | +7.155 | 1.12376 |
| K9o, rainbow, nine or lower | 45.350 | 57.812 | -12.462 | 0.78444 |
| K9o, two-tone | 58.553 | 57.812 | +0.741 | 1.01282 |
| K9o, monotone | 58.451 | 57.812 | +0.639 | 1.01105 |
| K9o, paired | 63.158 | 57.812 | +5.346 | 1.09247 |
| 53s, all flops | 39.791 | 39.693 | +0.098 | 1.00247 |
| 53s, rainbow, ten or higher | 35.033 | 39.693 | -4.660 | 0.88260 |
| 53s, rainbow, nine or lower | 54.650 | 39.693 | +14.957 | 1.37682 |
| 53s, two-tone | 41.447 | 39.693 | +1.754 | 1.04419 |
| 53s, monotone | 41.549 | 39.693 | +1.856 | 1.04676 |
| 53s, paired | 36.842 | 39.693 | -2.851 | 0.92817 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 60.92%. In 24 they do not, and it holds 59.50%. K9o does better with a shared suit, by 1.42 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 53s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.534 | 0.762 | 38.704 | 60.915 |
| No shared suit | 24 | 50.00 | 59.161 | 0.682 | 40.157 | 59.502 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average K9o takes back $120.42 of it, which is $20.42 more than it put in, and 53s takes back $79.58, $20.42 less than it put in.
In 1,000 deals of exactly this matchup, expect about 599 won outright by K9o, about 394 won outright by 53s and about 7 split.
The same matchup from the other side
Read it from the other side: 53s against K9o is the same matchup with the numbers swapped, so 53s holds 39.79% and K9o holds 60.21%. That address sends you back to this page.
Keep exploring
Try Ks9h against 5d3d 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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