K9s
67.86%
Wins 66.51%, ties 2.69%
T9s
32.14%
Wins 30.80%, ties 2.69%
K9s against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 66.512 | 2.688 | 30.800 | 67.856 |
| T9s | 30.800 | 2.688 | 66.512 | 32.144 |
The matchup is suited hands on both sides, K9s against T9s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
K9s is the clear favorite, though T9s gets there on roughly one board in 3. Of every 100 boards, about 2.69 are split pots, and the equity figures already include them.
Among the 169 starting hands, K9s is number 29 and T9s is number 64 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 13,667,000 | 552,000 | 6,329,000 |
| T9s | 6,329,000 | 552,000 | 13,667,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9s | 2.111 | 1.503 | 3.247 | 0.474 |
| T9s | 0.474 | 3.247 | 1.503 | 2.111 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. K9s does best on low rainbow flops (nine high or lower), at 75.64%, and worst on monotone flops, at 61.79%. K9s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | T9s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 65.956 | 2.321 | 31.723 | 67.117 |
| Rainbow, nine or lower | 6.314 | 74.484 | 2.302 | 23.214 | 75.635 |
| Two-tone | 46.543 | 65.472 | 2.093 | 32.435 | 66.519 |
| Monotone | 5.215 | 59.517 | 4.552 | 35.931 | 61.793 |
| Paired | 17.333 | 69.292 | 4.389 | 26.319 | 71.486 |
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
Start from the random-hand figures, 59.99% for K9s and 54.03% for T9s. This opponent changes them by +7.87 and -21.89 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 67.856 | 59.988 | +7.868 | 1.13116 |
| K9s, rainbow, ten or higher | 67.117 | 59.988 | +7.129 | 1.11884 |
| K9s, rainbow, nine or lower | 75.635 | 59.988 | +15.647 | 1.26084 |
| K9s, two-tone | 66.519 | 59.988 | +6.531 | 1.10887 |
| K9s, monotone | 61.793 | 59.988 | +1.805 | 1.03009 |
| K9s, paired | 71.486 | 59.988 | +11.498 | 1.19167 |
| T9s, all flops | 32.144 | 54.028 | -21.884 | 0.59495 |
| T9s, rainbow, ten or higher | 32.883 | 54.028 | -21.145 | 0.60863 |
| T9s, rainbow, nine or lower | 24.365 | 54.028 | -29.663 | 0.45097 |
| T9s, two-tone | 33.481 | 54.028 | -20.547 | 0.61970 |
| T9s, monotone | 38.207 | 54.028 | -15.821 | 0.70717 |
| T9s, paired | 28.514 | 54.028 | -25.514 | 0.52776 |
Does a shared suit matter?
K9s and T9s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | K9s wins | Ties | T9s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.512 | 2.688 | 30.800 | 67.856 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are K9s against T9s, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. K9s is worth $135.72 on average (+$35.72); T9s is worth $64.28 (-$35.72).
Per 1,000 deals: K9s wins about 665, T9s wins about 308, and about 27 end in a split pot.
The same matchup from the other side
The reversed view, T9s against K9s, shows 32.14% for T9s and 67.86% for K9s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in Ks9s against Th9h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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