KTs
61.95%
Wins 61.60%, ties 0.70%
J9s
38.05%
Wins 37.70%, ties 0.70%
KTs against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 61.601 | 0.700 | 37.699 | 61.951 |
| J9s | 37.699 | 0.700 | 61.601 | 38.049 |
This is a contest between two suited hands, KTs and J9s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
KTs is ahead, but J9s is far from dead: it takes 377 of every 1,000 deals outright. Ties are part of the picture: 0.70% of boards end in a split pot, and each side counts that as half a win.
KTs ranks number 22 of 169 starting hands, and J9s ranks number 55, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 16,877,000 | 192,000 | 10,328,000 |
| J9s | 10,328,000 | 192,000 | 16,877,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| KTs | 1.628 | 1.623 | 2.653 | 0.614 |
| J9s | 0.614 | 2.653 | 1.623 | 1.628 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. KTs does best on paired flops, at 64.71%, and worst on low rainbow flops (nine high or lower), at 57.89%. KTs stays ahead on all five textures.
| Flop | Share of flops | KTs wins | Ties | J9s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 63.300 | 0.289 | 36.411 | 63.445 |
| Rainbow, nine or lower | 7.042 | 57.529 | 0.715 | 41.756 | 57.887 |
| Two-tone | 46.727 | 60.974 | 0.347 | 38.679 | 61.148 |
| Monotone | 5.273 | 57.054 | 3.464 | 39.482 | 58.786 |
| Paired | 17.091 | 64.025 | 1.376 | 34.599 | 64.713 |
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, 61.79% for KTs and 55.66% for J9s. This opponent changes them by +0.16 and -17.61 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 61.951 | 61.789 | +0.162 | 1.00262 |
| KTs, rainbow, ten or higher | 63.445 | 61.789 | +1.656 | 1.02680 |
| KTs, rainbow, nine or lower | 57.887 | 61.789 | -3.902 | 0.93685 |
| KTs, two-tone | 61.148 | 61.789 | -0.641 | 0.98963 |
| KTs, monotone | 58.786 | 61.789 | -3.003 | 0.95140 |
| KTs, paired | 64.713 | 61.789 | +2.924 | 1.04732 |
| J9s, all flops | 38.049 | 55.662 | -17.613 | 0.68357 |
| J9s, rainbow, ten or higher | 36.555 | 55.662 | -19.107 | 0.65673 |
| J9s, rainbow, nine or lower | 42.113 | 55.662 | -13.549 | 0.75658 |
| J9s, two-tone | 38.852 | 55.662 | -16.810 | 0.69800 |
| J9s, monotone | 41.214 | 55.662 | -14.448 | 0.74043 |
| J9s, paired | 35.287 | 55.662 | -20.375 | 0.63395 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KTs has 64.31%; looking only at deals where they do not, 61.17%. KTs does better with a shared suit, by 3.14 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | J9s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.918 | 0.785 | 35.297 | 64.310 |
| No shared suit | 12 | 75.00 | 60.829 | 0.671 | 38.500 | 61.165 |
How often this matchup comes up
Counting specific cards, KTs against J9s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KTs averages $123.90 from the $200, up $23.90; J9s averages $76.10, down $23.90.
Scaled to 1,000 deals, that is roughly 616 wins for KTs, 377 for J9s and 7 chopped pots.
The same matchup from the other side
J9s against KTs adds nothing new: it is 38.05% for J9s and 61.95% for KTs, the same figures reversed.
Keep exploring
The calculator link fills in KsTs against Jh9h, 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
Nothing here is simulated. The 16 deals of KTs against J9s 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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