KK
78.91%
Wins 78.72%, ties 0.39%
T9s
21.09%
Wins 20.89%, ties 0.39%
KK against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 78.716 | 0.387 | 20.897 | 78.909 |
| T9s | 20.897 | 0.387 | 78.716 | 21.091 |
KK, a pocket pair, plays T9s, a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
That is a clear edge, 78.91% to 21.09%, but T9s still wins often enough that one hand proves nothing. Ties are 0.39% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and T9s is number 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 32,349,000 | 159,000 | 8,588,000 |
| T9s | 8,588,000 | 159,000 | 32,349,000 |
24 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) |
|---|---|---|---|---|
| KK | 3.741 | 1.270 | 4.785 | 0.267 |
| T9s | 0.267 | 4.785 | 1.270 | 3.741 |
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
If you know the kind of flop that came, the numbers shift: KK holds 83.20% on paired flops and 73.55% on monotone flops. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | T9s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 80.245 | 0.188 | 19.567 | 80.339 |
| Rainbow, nine or lower | 7.042 | 80.081 | 0.818 | 19.101 | 80.490 |
| Two-tone | 46.545 | 76.786 | 0.308 | 22.906 | 76.940 |
| Monotone | 5.212 | 72.347 | 2.402 | 25.251 | 73.548 |
| Paired | 17.334 | 83.153 | 0.092 | 16.755 | 83.199 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, KK holds 82.40% and T9s holds 54.03%. Facing each other changes that by -3.49 points for KK and -32.94 points for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 78.909 | 82.396 | -3.487 | 0.95768 |
| KK, rainbow, ten or higher | 80.339 | 82.396 | -2.057 | 0.97504 |
| KK, rainbow, nine or lower | 80.490 | 82.396 | -1.906 | 0.97687 |
| KK, two-tone | 76.940 | 82.396 | -5.456 | 0.93378 |
| KK, monotone | 73.548 | 82.396 | -8.848 | 0.89262 |
| KK, paired | 83.199 | 82.396 | +0.803 | 1.00975 |
| T9s, all flops | 21.091 | 54.028 | -32.937 | 0.39037 |
| T9s, rainbow, ten or higher | 19.661 | 54.028 | -34.367 | 0.36390 |
| T9s, rainbow, nine or lower | 19.510 | 54.028 | -34.518 | 0.36111 |
| T9s, two-tone | 23.060 | 54.028 | -30.968 | 0.42682 |
| T9s, monotone | 26.452 | 54.028 | -27.576 | 0.48960 |
| T9s, paired | 16.801 | 54.028 | -37.227 | 0.31097 |
Does a shared suit matter?
Split by suits, the deals give KK 79.47% when the hands overlap in a suit and 78.35% when they do not. KK does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | T9s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.254 | 0.427 | 20.319 | 79.467 |
| No shared suit | 12 | 50.00 | 78.178 | 0.346 | 21.476 | 78.351 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KK's average share is $157.82 (a gain of $57.82) and T9s' is $42.18 (a loss of $57.82).
In 1,000 deals of exactly this matchup, expect about 787 won outright by KK, about 209 won outright by T9s and about 4 split.
The same matchup from the other side
Swap the hands and you get T9s with 21.09% against KK with 78.91%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try KsKh against Td9d 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
Nothing here is simulated. The 24 deals of KK against T9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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