K9s
50.09%
Wins 49.70%, ties 0.77%
33
49.91%
Wins 49.53%, ties 0.77%
K9s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 49.702 | 0.770 | 49.528 | 50.087 |
| 33 | 49.528 | 0.770 | 49.702 | 49.913 |
Here a suited hand (K9s) meets a pocket pair (33). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. Of every 100 boards, about 0.77 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, K9s is number 29 of the 169 starting hands and 33 is number 66.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 20,425,000 | 316,000 | 20,354,000 |
| 33 | 20,354,000 | 316,000 | 20,425,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| K9s | 1.003 | 2.012 | 2.019 | 0.997 |
| 33 | 0.997 | 2.019 | 2.012 | 1.003 |
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
The flop changes the picture. K9s does best on two-tone flops, at 51.14%, and worst on low rainbow flops (nine high or lower), at 41.44%. Watch for low rainbow flops (nine high or lower) and paired flops: on those flops 33 holds the better equity.
| Flop | Share of flops | K9s wins | Ties | 33 wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 50.520 | 0.372 | 49.108 | 50.706 |
| Rainbow, nine or lower | 5.689 | 40.996 | 0.882 | 58.122 | 41.437 |
| Two-tone | 46.545 | 50.926 | 0.436 | 48.638 | 51.144 |
| Monotone | 5.212 | 48.414 | 3.261 | 48.325 | 50.044 |
| Paired | 17.334 | 48.468 | 1.462 | 50.070 | 49.199 |
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
A random hand would give K9s 59.99% and 33 53.69%. Against each other the change is -9.90 points for K9s and -3.78 for 33.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 50.087 | 59.988 | -9.901 | 0.83495 |
| K9s, rainbow, ten or higher | 50.706 | 59.988 | -9.282 | 0.84527 |
| K9s, rainbow, nine or lower | 41.437 | 59.988 | -18.551 | 0.69075 |
| K9s, two-tone | 51.144 | 59.988 | -8.844 | 0.85257 |
| K9s, monotone | 50.044 | 59.988 | -9.944 | 0.83423 |
| K9s, paired | 49.199 | 59.988 | -10.789 | 0.82015 |
| 33, all flops | 49.913 | 53.693 | -3.780 | 0.92960 |
| 33, rainbow, ten or higher | 49.294 | 53.693 | -4.399 | 0.91807 |
| 33, rainbow, nine or lower | 58.563 | 53.693 | +4.870 | 1.09070 |
| 33, two-tone | 48.856 | 53.693 | -4.837 | 0.90991 |
| 33, monotone | 49.956 | 53.693 | -3.737 | 0.93040 |
| 33, paired | 50.801 | 53.693 | -2.892 | 0.94614 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, K9s has 49.90%; looking only at deals where they do not, 50.27%. K9s does better with no shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | 33 wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.501 | 0.801 | 49.698 | 49.901 |
| No shared suit | 12 | 50.00 | 49.903 | 0.739 | 49.358 | 50.273 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are K9s against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. K9s' equity of 50.09% is worth $100.18, a $0.18 edge, and 33's 49.91% is worth $99.82, which is $0.18 under its stake.
Out of 1,000 deals you should see around 497 outright wins for K9s, 495 for 33, and 8 split pots.
The same matchup from the other side
Read it from the other side: 33 against K9s is the same matchup with the numbers swapped, so 33 holds 49.91% and K9s holds 50.09%. That address sends you back to this page.
Keep exploring
Open the calculator with Ks9s against 3h3d 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
We counted every case. Each suit pattern of the 24 specific K9s against 33 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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