55
53.97%
Wins 53.69%, ties 0.57%
K9o
46.03%
Wins 45.74%, ties 0.57%
55 against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 53.687 | 0.573 | 45.740 | 53.974 |
| K9o | 45.740 | 0.573 | 53.687 | 46.026 |
The first hand is a pocket pair; the second is an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 7.94 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 0.57% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, 55 is number 27 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 66,188,000 | 706,000 | 56,391,000 |
| K9o | 56,391,000 | 706,000 | 66,188,000 |
72 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) |
|---|---|---|---|---|
| 55 | 1.173 | 1.863 | 2.186 | 0.853 |
| K9o | 0.853 | 2.186 | 1.863 | 1.173 |
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, 55 peaks at 63.61% on low rainbow flops (nine high or lower) and bottoms out at 50.92% on monotone flops. 55 stays ahead on all five textures.
| Flop | Share of flops | 55 wins | Ties | K9o wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 51.405 | 0.317 | 48.278 | 51.563 |
| Rainbow, nine or lower | 5.689 | 63.221 | 0.769 | 36.010 | 63.605 |
| Two-tone | 46.485 | 53.256 | 0.387 | 46.357 | 53.449 |
| Monotone | 5.151 | 49.962 | 1.906 | 48.132 | 50.915 |
| Paired | 17.334 | 56.156 | 0.989 | 42.855 | 56.650 |
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
Start from the random-hand figures, 60.33% for 55 and 57.81% for K9o. This opponent changes them by -6.36 and -11.78 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 53.974 | 60.325 | -6.351 | 0.89472 |
| 55, rainbow, ten or higher | 51.563 | 60.325 | -8.762 | 0.85475 |
| 55, rainbow, nine or lower | 63.605 | 60.325 | +3.280 | 1.05437 |
| 55, two-tone | 53.449 | 60.325 | -6.876 | 0.88602 |
| 55, monotone | 50.915 | 60.325 | -9.410 | 0.84401 |
| 55, paired | 56.650 | 60.325 | -3.675 | 0.93908 |
| K9o, all flops | 46.026 | 57.812 | -11.786 | 0.79613 |
| K9o, rainbow, ten or higher | 48.437 | 57.812 | -9.375 | 0.83784 |
| K9o, rainbow, nine or lower | 36.395 | 57.812 | -21.417 | 0.62954 |
| K9o, two-tone | 46.551 | 57.812 | -11.261 | 0.80521 |
| K9o, monotone | 49.085 | 57.812 | -8.727 | 0.84905 |
| K9o, paired | 43.350 | 57.812 | -14.462 | 0.74984 |
Does a shared suit matter?
Split by suits, the deals give 55 53.89% when the hands overlap in a suit and 54.38% when they do not. 55 does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | K9o wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 53.598 | 0.588 | 45.814 | 53.892 |
| No shared suit | 12 | 16.67 | 54.131 | 0.500 | 45.369 | 54.381 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 55 takes back $107.94 of it, which is $7.94 more than it put in, and K9o takes back $92.06, $7.94 less than it put in.
Per 1,000 deals: 55 wins about 537, K9o wins about 457, and about 6 end in a split pot.
The same matchup from the other side
If you came looking for K9o against 55, the numbers are the same with the hands swapped: 46.03% and 53.97%.
Keep exploring
Open the calculator with 5s5h against Kd9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 72 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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