K9o
59.24%
Wins 58.88%, ties 0.72%
54s
40.76%
Wins 40.40%, ties 0.72%
K9o against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 58.882 | 0.722 | 40.396 | 59.243 |
| 54s | 40.396 | 0.722 | 58.882 | 40.757 |
K9o and 54s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 18.48 point lead is real, and 54s still takes about 404 of every 1,000 deals outright. 0.72% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, K9o is number 40 and 54s is number 136 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 48,395,000 | 593,000 | 33,202,000 |
| 54s | 33,202,000 | 593,000 | 48,395,000 |
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 | 1.454 | 1.698 | 2.475 | 0.688 |
| 54s | 0.688 | 2.475 | 1.698 | 1.454 |
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
Split by what the flop looks like, K9o peaks at 64.09% on rainbow flops topped by a ten or better and bottoms out at 43.60% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | K9o wins | Ties | 54s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 63.904 | 0.366 | 35.730 | 64.087 |
| Rainbow, nine or lower | 5.689 | 43.164 | 0.865 | 55.971 | 43.597 |
| Two-tone | 46.667 | 57.389 | 0.430 | 42.181 | 57.604 |
| Monotone | 5.212 | 56.459 | 2.561 | 40.980 | 57.739 |
| Paired | 17.091 | 61.487 | 1.436 | 37.077 | 62.205 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +1.43 points for K9o, from 57.81%, and -0.69 for 54s, from 41.45%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 59.243 | 57.812 | +1.431 | 1.02475 |
| K9o, rainbow, ten or higher | 64.087 | 57.812 | +6.275 | 1.10854 |
| K9o, rainbow, nine or lower | 43.597 | 57.812 | -14.215 | 0.75412 |
| K9o, two-tone | 57.604 | 57.812 | -0.208 | 0.99640 |
| K9o, monotone | 57.739 | 57.812 | -0.073 | 0.99874 |
| K9o, paired | 62.205 | 57.812 | +4.393 | 1.07599 |
| 54s, all flops | 40.757 | 41.453 | -0.696 | 0.98321 |
| 54s, rainbow, ten or higher | 35.913 | 41.453 | -5.540 | 0.86635 |
| 54s, rainbow, nine or lower | 56.403 | 41.453 | +14.950 | 1.36065 |
| 54s, two-tone | 42.396 | 41.453 | +0.943 | 1.02275 |
| 54s, monotone | 42.261 | 41.453 | +0.808 | 1.01949 |
| 54s, paired | 37.795 | 41.453 | -3.658 | 0.91176 |
Does a shared suit matter?
Does suit overlap move the numbers? K9o has 59.93% when the hands share a suit and 58.55% when they do not. K9o does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 54s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.553 | 0.762 | 39.685 | 59.934 |
| No shared suit | 24 | 50.00 | 58.212 | 0.681 | 41.107 | 58.553 |
How often this matchup comes up
Counting specific cards, K9o against 54s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Take a $200 pot built from $100 each. K9o's equity of 59.24% is worth $118.48, a $18.48 edge, and 54s' 40.76% is worth $81.52, which is $18.48 under its stake.
Scaled to 1,000 deals, that is roughly 589 wins for K9o, 404 for 54s and 7 chopped pots.
The same matchup from the other side
Read it from the other side: 54s against K9o is the same matchup with the numbers swapped, so 54s holds 40.76% and K9o holds 59.24%. That address sends you back to this page.
Keep exploring
The calculator link fills in Ks9h against 5d4d, 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
We counted every case. Each suit pattern of the 48 specific K9o against 54s 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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