KTs
68.63%
Wins 67.11%, ties 3.03%
T9s
31.37%
Wins 29.86%, ties 3.03%
KTs against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 67.111 | 3.030 | 29.859 | 68.626 |
| T9s | 29.859 | 3.030 | 67.111 | 31.374 |
Two suited hands meet here: KTs against T9s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
KTs is the clear favorite, though T9s gets there on roughly one board in 3. The tie share is 3.03%: on those boards the pot is chopped and neither hand wins outright.
Place 22 of 169 belongs to KTs and place 64 belongs to T9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 13,790,000 | 623,000 | 6,135,000 |
| T9s | 6,135,000 | 623,000 | 13,790,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 2.187 | 1.490 | 3.349 | 0.457 |
| T9s | 0.457 | 3.349 | 1.490 | 2.187 |
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
KTs prefers rainbow flops topped by a ten or better, where it holds 73.44%, and likes low rainbow flops (nine high or lower) least, where it holds 57.21%. KTs 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 | KTs wins | Ties | T9s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 72.055 | 2.775 | 25.170 | 73.443 |
| Rainbow, nine or lower | 7.042 | 55.897 | 2.623 | 41.480 | 57.208 |
| Two-tone | 46.543 | 66.069 | 2.464 | 31.467 | 67.301 |
| Monotone | 5.215 | 59.970 | 4.827 | 35.203 | 62.384 |
| Paired | 17.333 | 69.805 | 4.529 | 25.666 | 72.069 |
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 61.79%, KTs changes by +6.84 points, and T9s, from 54.03%, by -22.66.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 68.626 | 61.789 | +6.837 | 1.11065 |
| KTs, rainbow, ten or higher | 73.443 | 61.789 | +11.654 | 1.18861 |
| KTs, rainbow, nine or lower | 57.208 | 61.789 | -4.581 | 0.92586 |
| KTs, two-tone | 67.301 | 61.789 | +5.512 | 1.08921 |
| KTs, monotone | 62.384 | 61.789 | +0.595 | 1.00963 |
| KTs, paired | 72.069 | 61.789 | +10.280 | 1.16637 |
| T9s, all flops | 31.374 | 54.028 | -22.654 | 0.58070 |
| T9s, rainbow, ten or higher | 26.557 | 54.028 | -27.471 | 0.49154 |
| T9s, rainbow, nine or lower | 42.792 | 54.028 | -11.236 | 0.79203 |
| T9s, two-tone | 32.699 | 54.028 | -21.329 | 0.60522 |
| T9s, monotone | 37.616 | 54.028 | -16.412 | 0.69623 |
| T9s, paired | 27.931 | 54.028 | -26.097 | 0.51697 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | KTs wins | Ties | T9s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.111 | 3.030 | 29.859 | 68.626 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KTs is worth $137.26 on average (+$37.26); T9s is worth $62.74 (-$37.26).
Over a long run, 1,000 deals split into about 671 for KTs, 299 for T9s and 30 tied.
The same matchup from the other side
One page covers both views. From T9s' side the equity is 31.37%, and from KTs' side it is 68.63%.
Keep exploring
Open the calculator with KsTs against Th9h 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
We counted every case. Each suit pattern of the 12 specific KTs against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
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