TT
68.43%
Wins 68.23%, ties 0.40%
K9s
31.57%
Wins 31.37%, ties 0.40%
TT against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 68.233 | 0.399 | 31.368 | 68.432 |
| K9s | 31.368 | 0.399 | 68.233 | 31.568 |
The first hand is a pocket pair; the second is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
That is a clear edge, 68.43% to 31.57%, but K9s still wins often enough that one hand proves nothing. Ties are 0.40% of the outcomes here; each tied board gives both hands half the pot.
For context, TT sits at number 5 of 169 starting hands and K9s at number 29 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 28,041,000 | 164,000 | 12,891,000 |
| K9s | 12,891,000 | 164,000 | 28,041,000 |
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) |
|---|---|---|---|---|
| TT | 2.168 | 1.466 | 3.188 | 0.461 |
| K9s | 0.461 | 3.188 | 1.466 | 2.168 |
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
Break the boards down by their first three cards and TT is strongest on low rainbow flops (nine high or lower) (79.85%) and weakest on monotone flops (63.68%). TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | TT wins | Ties | K9s wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.118 | 0.170 | 32.712 | 67.203 |
| Rainbow, nine or lower | 7.042 | 79.452 | 0.786 | 19.762 | 79.845 |
| Two-tone | 46.545 | 66.599 | 0.284 | 33.117 | 66.741 |
| Monotone | 5.212 | 62.486 | 2.379 | 35.135 | 63.676 |
| Paired | 17.334 | 71.324 | 0.272 | 28.404 | 71.460 |
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
How much does the opponent matter? Compared with its random-hand 75.01%, TT changes by -6.58 points, and K9s, from 59.99%, by -28.42.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 68.432 | 75.012 | -6.580 | 0.91228 |
| TT, rainbow, ten or higher | 67.203 | 75.012 | -7.809 | 0.89590 |
| TT, rainbow, nine or lower | 79.845 | 75.012 | +4.833 | 1.06443 |
| TT, two-tone | 66.741 | 75.012 | -8.271 | 0.88974 |
| TT, monotone | 63.676 | 75.012 | -11.336 | 0.84888 |
| TT, paired | 71.460 | 75.012 | -3.552 | 0.95265 |
| K9s, all flops | 31.568 | 59.988 | -28.420 | 0.52624 |
| K9s, rainbow, ten or higher | 32.797 | 59.988 | -27.191 | 0.54673 |
| K9s, rainbow, nine or lower | 20.155 | 59.988 | -39.833 | 0.33598 |
| K9s, two-tone | 33.259 | 59.988 | -26.729 | 0.55443 |
| K9s, monotone | 36.324 | 59.988 | -23.664 | 0.60552 |
| K9s, paired | 28.540 | 59.988 | -31.448 | 0.47576 |
Does a shared suit matter?
Split by suits, the deals give TT 68.70% when the hands overlap in a suit and 68.17% when they do not. TT does better with a shared suit, by 0.53 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | K9s wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.475 | 0.441 | 31.084 | 68.696 |
| No shared suit | 12 | 50.00 | 67.990 | 0.358 | 31.652 | 68.169 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are TT in one seat and K9s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. TT is worth $136.86 on average (+$36.86); K9s is worth $63.14 (-$36.86).
Run 1,000 deals and the tally comes out near 682 for TT, 314 for K9s and 4 ties.
The same matchup from the other side
K9s against TT adds nothing new: it is 31.57% for K9s and 68.43% for TT, the same figures reversed.
Keep exploring
TsTh against Kd9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session