--- title: "K9s vs 33: preflop equity" url: "https://georgelipoker.com/equity/k9s-vs-33.md" canonical_url: "https://georgelipoker.com/equity/k9s-vs-33" last_updated: "2026-10-23" type: "reference" summary: "K9s vs 33 is close to a coin flip before the flop: 50.09% to 49.91% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/k9s-vs-t8s.md", "https://georgelipoker.com/equity/k9s-vs-t9o.md", "https://georgelipoker.com/equity/a5s-vs-33.md"] --- # K9s vs 33: preflop equity K9s vs 33 is close to a coin flip before the flop: 50.09% to 49.91% equity, counted exactly over every board, with the split by flop type and suit. The exact count puts K9s at 50.09% and 33 at 49.91% when the two hands see all five board cards. ## K9s against 33: the numbers **Exact preflop results for K9s against 33, in percent** | 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. **Boards behind the percentages: 41,095,296 counted in all** | 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. **K9s against 33 read as odds** | 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. **K9s against 33 by flop texture, in percent** | 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. **K9s and 33 here compared with each against a random hand, in percent** | 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. **K9s against 33 by suit overlap, in percent** | 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. - [Open Ks9s against 3h3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=Ks9s&p2=3h3d) - [K9s combos](https://georgelipoker.com/combos/k9s.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [K9s vs T8s](https://georgelipoker.com/equity/k9s-vs-t8s.md) - [K9s vs T9o](https://georgelipoker.com/equity/k9s-vs-t9o.md) - [A5s vs 33](https://georgelipoker.com/equity/a5s-vs-33.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## 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. ## Related - [K9s vs T8s: preflop equity](https://georgelipoker.com/equity/k9s-vs-t8s.md) - [K9s vs T9o: preflop equity](https://georgelipoker.com/equity/k9s-vs-t9o.md) - [A5s vs 33: preflop equity](https://georgelipoker.com/equity/a5s-vs-33.md)