KK
82.81%
Wins 82.63%, ties 0.37%
T9o
17.19%
Wins 17.00%, ties 0.37%
KK against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 82.628 | 0.366 | 17.006 | 82.811 |
| T9o | 17.006 | 0.366 | 82.628 | 17.189 |
The matchup pits a pocket pair against an offsuit hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
A gap this wide means T9o is in trouble before the flop and has few good runouts. Split pots make up 0.37% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, KK holds place 2 of 169 and T9o holds place 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 101,869,000 | 451,000 | 20,966,000 |
| T9o | 20,966,000 | 451,000 | 101,869,000 |
The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KK | 4.818 | 1.210 | 5.880 | 0.208 |
| T9o | 0.208 | 5.880 | 1.210 | 4.818 |
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
Break the boards down by their first three cards and KK is strongest on paired flops (86.61%) and weakest on monotone flops (78.16%). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | T9o wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 82.320 | 0.198 | 17.482 | 82.419 |
| Rainbow, nine or lower | 7.042 | 82.571 | 0.854 | 16.575 | 82.998 |
| Two-tone | 46.485 | 81.920 | 0.331 | 17.749 | 82.085 |
| Monotone | 5.151 | 77.300 | 1.713 | 20.987 | 78.156 |
| Paired | 17.334 | 86.561 | 0.092 | 13.347 | 86.607 |
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, 82.40% for KK and 51.53% for T9o. This opponent changes them by +0.41 and -34.34 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 82.811 | 82.396 | +0.415 | 1.00504 |
| KK, rainbow, ten or higher | 82.419 | 82.396 | +0.023 | 1.00028 |
| KK, rainbow, nine or lower | 82.998 | 82.396 | +0.602 | 1.00731 |
| KK, two-tone | 82.085 | 82.396 | -0.311 | 0.99623 |
| KK, monotone | 78.156 | 82.396 | -4.240 | 0.94854 |
| KK, paired | 86.607 | 82.396 | +4.211 | 1.05111 |
| T9o, all flops | 17.189 | 51.532 | -34.343 | 0.33356 |
| T9o, rainbow, ten or higher | 17.581 | 51.532 | -33.951 | 0.34117 |
| T9o, rainbow, nine or lower | 17.002 | 51.532 | -34.530 | 0.32993 |
| T9o, two-tone | 17.915 | 51.532 | -33.617 | 0.34765 |
| T9o, monotone | 21.844 | 51.532 | -29.688 | 0.42389 |
| T9o, paired | 13.393 | 51.532 | -38.139 | 0.25990 |
Does a shared suit matter?
The suit split reads 82.95% for KK with a shared suit and 82.11% without one. KK does better with a shared suit, by 0.84 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | T9o wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 82.761 | 0.382 | 16.857 | 82.952 |
| No shared suit | 12 | 16.67 | 81.965 | 0.286 | 17.749 | 82.108 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $165.62 of it on average and T9o gets $34.38.
Run 1,000 deals and the tally comes out near 826 for KK, 170 for T9o and 4 ties.
The same matchup from the other side
The mirror image, T9o against KK, is 17.19% to 82.81%, and its address redirects to this page.
Keep exploring
Open the calculator with KsKh against Td9c 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 72 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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