TT
56.49%
Wins 56.29%, ties 0.40%
KQo
43.51%
Wins 43.31%, ties 0.40%
TT against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 56.292 | 0.396 | 43.312 | 56.490 |
| KQo | 43.312 | 0.396 | 56.292 | 43.510 |
TT is a pocket pair and KQo is an offsuit hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
A 12.98 point lead is real, and KQo still takes about 433 of every 1,000 deals outright. Ties are 0.40% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts TT at 5 and KQo at 23 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 69,400,000 | 488,000 | 53,398,000 |
| KQo | 53,398,000 | 488,000 | 69,400,000 |
72 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) |
|---|---|---|---|---|
| TT | 1.298 | 1.776 | 2.309 | 0.770 |
| KQo | 0.770 | 2.309 | 1.776 | 1.298 |
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
Low rainbow flops (nine high or lower) are the best for TT (75.56%); rainbow flops topped by a ten or better are the worst (48.93%). KQo is ahead on rainbow flops topped by a ten or better, even though it trails TT when every flop is counted.
| Flop | Share of flops | TT wins | Ties | KQo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 48.858 | 0.141 | 51.001 | 48.928 |
| Rainbow, nine or lower | 7.771 | 75.043 | 1.039 | 23.918 | 75.563 |
| Two-tone | 46.485 | 55.033 | 0.351 | 44.616 | 55.209 |
| Monotone | 5.151 | 51.439 | 1.725 | 46.836 | 52.301 |
| Paired | 17.333 | 62.681 | 0.176 | 37.143 | 62.769 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -18.52 points for TT, from 75.01%, and -17.95 for KQo, from 61.46%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 56.490 | 75.012 | -18.522 | 0.75308 |
| TT, rainbow, ten or higher | 48.928 | 75.012 | -26.084 | 0.65227 |
| TT, rainbow, nine or lower | 75.563 | 75.012 | +0.551 | 1.00735 |
| TT, two-tone | 55.209 | 75.012 | -19.803 | 0.73600 |
| TT, monotone | 52.301 | 75.012 | -22.711 | 0.69724 |
| TT, paired | 62.769 | 75.012 | -12.243 | 0.83679 |
| KQo, all flops | 43.510 | 61.456 | -17.946 | 0.70799 |
| KQo, rainbow, ten or higher | 51.072 | 61.456 | -10.384 | 0.83103 |
| KQo, rainbow, nine or lower | 24.437 | 61.456 | -37.019 | 0.39763 |
| KQo, two-tone | 44.791 | 61.456 | -16.665 | 0.72883 |
| KQo, monotone | 47.699 | 61.456 | -13.757 | 0.77615 |
| KQo, paired | 37.231 | 61.456 | -24.225 | 0.60582 |
Does a shared suit matter?
Split by suits, the deals give TT 56.41% when the hands overlap in a suit and 56.91% when they do not. TT does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | KQo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.202 | 0.412 | 43.386 | 56.408 |
| No shared suit | 12 | 16.67 | 56.746 | 0.317 | 42.937 | 56.905 |
How often this matchup comes up
Counting specific cards, TT against KQo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $112.98 of it on average and KQo gets $87.02.
Per 1,000 deals: TT wins about 563, KQo wins about 433, and about 4 end in a split pot.
The same matchup from the other side
KQo against TT adds nothing new: it is 43.51% for KQo and 56.49% for TT, the same figures reversed.
Keep exploring
TsTh against KdQc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Nothing here is simulated. The 72 deals of TT against KQo 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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