KJo
60.90%
Wins 60.57%, ties 0.67%
T9s
39.10%
Wins 38.76%, ties 0.67%
KJo against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 60.567 | 0.666 | 38.767 | 60.900 |
| T9s | 38.767 | 0.666 | 60.567 | 39.100 |
We compare an offsuit hand with a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.67% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 26 of 169 belongs to KJo and place 64 belongs to T9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,780,000 | 547,000 | 31,863,000 |
| T9s | 31,863,000 | 547,000 | 49,780,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| KJo | 1.558 | 1.651 | 2.580 | 0.642 |
| T9s | 0.642 | 2.580 | 1.651 | 1.558 |
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
Split by what the flop looks like, KJo peaks at 65.20% on rainbow flops topped by a ten or better and bottoms out at 51.81% on low rainbow flops (nine high or lower). KJo stays ahead on all five textures.
| Flop | Share of flops | KJo wins | Ties | T9s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 65.046 | 0.298 | 34.656 | 65.195 |
| Rainbow, nine or lower | 7.042 | 51.442 | 0.742 | 47.816 | 51.813 |
| Two-tone | 46.667 | 59.227 | 0.370 | 40.403 | 59.412 |
| Monotone | 5.212 | 57.877 | 2.450 | 39.673 | 59.102 |
| Paired | 17.091 | 62.521 | 1.414 | 36.065 | 63.228 |
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
A random hand would give KJo 60.57% and T9s 54.03%. Against each other the change is +0.33 points for KJo and -14.93 for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.900 | 60.569 | +0.331 | 1.00546 |
| KJo, rainbow, ten or higher | 65.195 | 60.569 | +4.626 | 1.07638 |
| KJo, rainbow, nine or lower | 51.813 | 60.569 | -8.756 | 0.85544 |
| KJo, two-tone | 59.412 | 60.569 | -1.157 | 0.98090 |
| KJo, monotone | 59.102 | 60.569 | -1.467 | 0.97578 |
| KJo, paired | 63.228 | 60.569 | +2.659 | 1.04390 |
| T9s, all flops | 39.100 | 54.028 | -14.928 | 0.72370 |
| T9s, rainbow, ten or higher | 34.805 | 54.028 | -19.223 | 0.64420 |
| T9s, rainbow, nine or lower | 48.187 | 54.028 | -5.841 | 0.89189 |
| T9s, two-tone | 40.588 | 54.028 | -13.440 | 0.75124 |
| T9s, monotone | 40.898 | 54.028 | -13.130 | 0.75698 |
| T9s, paired | 36.772 | 54.028 | -17.256 | 0.68061 |
Does a shared suit matter?
The suit split reads 61.57% for KJo with a shared suit and 60.24% without one. KJo does better with a shared suit, by 1.33 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | T9s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.212 | 0.706 | 38.082 | 61.565 |
| No shared suit | 24 | 50.00 | 59.923 | 0.626 | 39.451 | 60.236 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KJo against T9s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KJo takes back $121.80 of it, which is $21.80 more than it put in, and T9s takes back $78.20, $21.80 less than it put in.
Think in thousands: about 606 of 1,000 go to KJo, about 388 go to T9s, and about 6 are chopped.
The same matchup from the other side
Swap the hands and you get T9s with 39.10% against KJo with 60.90%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsJh against Td9d, 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 48 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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