K9s
71.73%
Wins 70.36%, ties 2.74%
T9o
28.27%
Wins 26.90%, ties 2.74%
K9s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 70.355 | 2.742 | 26.903 | 71.726 |
| T9o | 26.903 | 2.742 | 70.355 | 28.274 |
K9s is a suited hand and T9o is an offsuit hand. 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.
That is a clear edge, 71.73% to 28.27%, but T9o still wins often enough that one hand proves nothing. Ties are part of the picture: 2.74% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, K9s is number 29 and T9o is number 78 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 43,369,000 | 1,690,000 | 16,584,000 |
| T9o | 16,584,000 | 1,690,000 | 43,369,000 |
The board total is exact, 36 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 | 2.537 | 1.421 | 3.717 | 0.394 |
| T9o | 0.394 | 3.717 | 1.421 | 2.537 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, K9s peaks at 78.30% on low rainbow flops (nine high or lower) and bottoms out at 64.78% on monotone flops. K9s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | T9o wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.634 | 68.027 | 2.379 | 29.594 | 69.217 |
| Rainbow, nine or lower | 6.314 | 77.110 | 2.372 | 20.518 | 78.296 |
| Two-tone | 46.527 | 70.413 | 2.228 | 27.359 | 71.527 |
| Monotone | 5.192 | 62.942 | 3.675 | 33.383 | 64.780 |
| Paired | 17.333 | 73.269 | 4.496 | 22.235 | 75.517 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Relative to a random opponent, K9s changes by +11.74 points (baseline 59.99%) and T9o by -23.26 points (baseline 51.53%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 71.726 | 59.988 | +11.738 | 1.19567 |
| K9s, rainbow, ten or higher | 69.217 | 59.988 | +9.229 | 1.15385 |
| K9s, rainbow, nine or lower | 78.296 | 59.988 | +18.308 | 1.30519 |
| K9s, two-tone | 71.527 | 59.988 | +11.539 | 1.19236 |
| K9s, monotone | 64.780 | 59.988 | +4.792 | 1.07988 |
| K9s, paired | 75.517 | 59.988 | +15.529 | 1.25887 |
| T9o, all flops | 28.274 | 51.532 | -23.258 | 0.54867 |
| T9o, rainbow, ten or higher | 30.783 | 51.532 | -20.749 | 0.59736 |
| T9o, rainbow, nine or lower | 21.704 | 51.532 | -29.828 | 0.42118 |
| T9o, two-tone | 28.473 | 51.532 | -23.059 | 0.55253 |
| T9o, monotone | 35.220 | 51.532 | -16.312 | 0.68346 |
| T9o, paired | 24.483 | 51.532 | -27.049 | 0.47510 |
Does a shared suit matter?
The suit split reads 71.46% for K9s with a shared suit and 71.86% without one. K9s does better with no shared suit, by 0.40 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | T9o wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.038 | 2.849 | 27.113 | 71.462 |
| No shared suit | 24 | 66.67 | 70.514 | 2.689 | 26.797 | 71.858 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Take a $200 pot built from $100 each. K9s' equity of 71.73% is worth $143.46, a $43.46 edge, and T9o's 28.27% is worth $56.54, which is $43.46 under its stake.
Think in thousands: about 704 of 1,000 go to K9s, about 269 go to T9o, and about 27 are chopped.
The same matchup from the other side
One page covers both views. From T9o's side the equity is 28.27%, and from K9s' side it is 71.73%.
Keep exploring
Open the calculator with Ks9s against Th9d 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
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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