K9o
47.58%
Wins 47.21%, ties 0.75%
33
52.42%
Wins 52.04%, ties 0.75%
K9o against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 47.205 | 0.749 | 52.046 | 47.580 |
| 33 | 52.046 | 0.749 | 47.205 | 52.420 |
The matchup pits an offsuit hand against a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with 33 a little ahead. A split pot comes up on 0.75% of boards, so the wins and the equity differ by half of that.
For context, K9o sits at number 40 of 169 starting hands and 33 at number 66 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 58,197,000 | 923,000 | 64,165,000 |
| 33 | 64,165,000 | 923,000 | 58,197,000 |
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) |
|---|---|---|---|---|
| K9o | 0.908 | 2.118 | 1.921 | 1.102 |
| 33 | 1.102 | 1.921 | 2.118 | 0.908 |
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
Break the boards down by their first three cards and 33 is strongest on low rainbow flops (nine high or lower) (60.48%) and weakest on monotone flops (49.78%). The overall edge for 33 hides monotone flops, where K9o comes out in front.
| Flop | Share of flops | K9o wins | Ties | 33 wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 48.922 | 0.382 | 50.696 | 49.113 |
| Rainbow, nine or lower | 5.689 | 39.060 | 0.916 | 60.024 | 39.518 |
| Two-tone | 46.485 | 47.419 | 0.465 | 52.116 | 47.652 |
| Monotone | 5.151 | 49.041 | 2.355 | 48.604 | 50.218 |
| Paired | 17.334 | 46.250 | 1.513 | 52.237 | 47.007 |
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
Each hand has a baseline against a random hand: 57.81% for K9o, 53.69% for 33. Here the change is -10.23 and -1.27 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 47.580 | 57.812 | -10.232 | 0.82301 |
| K9o, rainbow, ten or higher | 49.113 | 57.812 | -8.699 | 0.84953 |
| K9o, rainbow, nine or lower | 39.518 | 57.812 | -18.294 | 0.68356 |
| K9o, two-tone | 47.652 | 57.812 | -10.160 | 0.82426 |
| K9o, monotone | 50.218 | 57.812 | -7.594 | 0.86864 |
| K9o, paired | 47.007 | 57.812 | -10.805 | 0.81310 |
| 33, all flops | 52.420 | 53.693 | -1.273 | 0.97629 |
| 33, rainbow, ten or higher | 50.887 | 53.693 | -2.806 | 0.94774 |
| 33, rainbow, nine or lower | 60.482 | 53.693 | +6.789 | 1.12644 |
| 33, two-tone | 52.348 | 53.693 | -1.345 | 0.97495 |
| 33, monotone | 49.782 | 53.693 | -3.911 | 0.92716 |
| 33, paired | 52.993 | 53.693 | -0.700 | 0.98696 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (33 at 52.34%) and 12 do not (52.83%). 33 does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 33 wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.281 | 0.760 | 51.959 | 47.661 |
| No shared suit | 12 | 16.67 | 46.823 | 0.694 | 52.483 | 47.170 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 33 gets $104.84 of it on average and K9o gets $95.16.
In 1,000 deals of exactly this matchup, expect about 520 won outright by 33, about 472 won outright by K9o and about 8 split.
The same matchup from the other side
The reversed view, 33 against K9o, shows 52.42% for 33 and 47.58% for K9o. It is the same count, so it redirects here.
Keep exploring
Try Ks9h against 3d3c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of K9o against 33, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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