TT
56.56%
Wins 56.37%, ties 0.39%
KJo
43.44%
Wins 43.24%, ties 0.39%
TT against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 56.368 | 0.389 | 43.243 | 56.562 |
| KJo | 43.243 | 0.389 | 56.368 | 43.438 |
TT and KJo are a pocket pair and an offsuit hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
A 13.12 point lead is real, and KJo still takes about 432 of every 1,000 deals outright. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, TT is number 5 and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 69,494,000 | 480,000 | 53,313,000 |
| KJo | 53,313,000 | 480,000 | 69,494,000 |
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) |
|---|---|---|---|---|
| TT | 1.302 | 1.774 | 2.313 | 0.768 |
| KJo | 0.768 | 2.313 | 1.774 | 1.302 |
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, TT peaks at 75.69% on low rainbow flops (nine high or lower) and bottoms out at 48.98% on rainbow flops topped by a ten or better. On rainbow flops topped by a ten or better the numbers flip and KJo is the one ahead.
| Flop | Share of flops | TT wins | Ties | KJo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 48.908 | 0.145 | 50.947 | 48.981 |
| Rainbow, nine or lower | 7.771 | 75.193 | 0.992 | 23.815 | 75.689 |
| Two-tone | 46.485 | 55.103 | 0.342 | 44.555 | 55.274 |
| Monotone | 5.151 | 51.470 | 1.719 | 46.811 | 52.330 |
| Paired | 17.333 | 62.785 | 0.180 | 37.035 | 62.875 |
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, TT changes by -18.45 points (baseline 75.01%) and KJo by -17.13 points (baseline 60.57%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 56.562 | 75.012 | -18.450 | 0.75404 |
| TT, rainbow, ten or higher | 48.981 | 75.012 | -26.031 | 0.65298 |
| TT, rainbow, nine or lower | 75.689 | 75.012 | +0.677 | 1.00903 |
| TT, two-tone | 55.274 | 75.012 | -19.738 | 0.73687 |
| TT, monotone | 52.330 | 75.012 | -22.682 | 0.69762 |
| TT, paired | 62.875 | 75.012 | -12.137 | 0.83820 |
| KJo, all flops | 43.438 | 60.569 | -17.131 | 0.71717 |
| KJo, rainbow, ten or higher | 51.019 | 60.569 | -9.550 | 0.84233 |
| KJo, rainbow, nine or lower | 24.311 | 60.569 | -36.258 | 0.40138 |
| KJo, two-tone | 44.726 | 60.569 | -15.843 | 0.73843 |
| KJo, monotone | 47.670 | 60.569 | -12.899 | 0.78704 |
| KJo, paired | 37.125 | 60.569 | -23.444 | 0.61294 |
Does a shared suit matter?
When the hands share a suit, TT holds 56.48%; when they do not, it holds 56.98%. TT does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | KJo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.277 | 0.405 | 43.318 | 56.479 |
| No shared suit | 12 | 16.67 | 56.823 | 0.310 | 42.867 | 56.978 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are TT in one seat and KJo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average TT takes back $113.12 of it, which is $13.12 more than it put in, and KJo takes back $86.88, $13.12 less than it put in.
Run 1,000 deals and the tally comes out near 564 for TT, 432 for KJo and 4 ties.
The same matchup from the other side
KJo versus TT is this same page seen from the other hand: 43.44% for KJo, 56.56% for TT.
Keep exploring
Try TsTh against KdJc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups 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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