TT
54.14%
Wins 53.94%, ties 0.40%
AQs
45.86%
Wins 45.66%, ties 0.40%
TT against AQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 53.939 | 0.402 | 45.659 | 54.140 |
| AQs | 45.659 | 0.402 | 53.939 | 45.860 |
Here a pocket pair (TT) meets a suited hand (AQs). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 8.28 points between them, the board decides this matchup far more than the cards in hand. About 0.40% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 5 of 169 belongs to TT and place 10 belongs to AQs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 22,166,000 | 165,000 | 18,764,000 |
| AQs | 18,764,000 | 165,000 | 22,166,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| TT | 1.181 | 1.854 | 2.190 | 0.847 |
| AQs | 0.847 | 2.190 | 1.854 | 1.181 |
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 71.52% on low rainbow flops (nine high or lower) and bottoms out at 48.67% on rainbow flops topped by a ten or better. The overall edge for TT hides rainbow flops topped by a ten or better, where AQs comes out in front.
| Flop | Share of flops | TT wins | Ties | AQs wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 48.608 | 0.131 | 51.261 | 48.674 |
| Rainbow, nine or lower | 7.771 | 71.038 | 0.967 | 27.995 | 71.521 |
| Two-tone | 46.545 | 51.849 | 0.310 | 47.841 | 52.004 |
| Monotone | 5.212 | 51.299 | 2.395 | 46.306 | 52.496 |
| Paired | 17.334 | 59.793 | 0.160 | 40.047 | 59.873 |
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
Each hand has a baseline against a random hand: 75.01% for TT, 66.21% for AQs. Here the change is -20.87 and -20.35 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 54.140 | 75.012 | -20.872 | 0.72175 |
| TT, rainbow, ten or higher | 48.674 | 75.012 | -26.338 | 0.64888 |
| TT, rainbow, nine or lower | 71.521 | 75.012 | -3.491 | 0.95346 |
| TT, two-tone | 52.004 | 75.012 | -23.008 | 0.69328 |
| TT, monotone | 52.496 | 75.012 | -22.516 | 0.69983 |
| TT, paired | 59.873 | 75.012 | -15.139 | 0.79818 |
| AQs, all flops | 45.860 | 66.209 | -20.349 | 0.69266 |
| AQs, rainbow, ten or higher | 51.326 | 66.209 | -14.883 | 0.77521 |
| AQs, rainbow, nine or lower | 28.479 | 66.209 | -37.730 | 0.43014 |
| AQs, two-tone | 47.996 | 66.209 | -18.213 | 0.72492 |
| AQs, monotone | 47.504 | 66.209 | -18.705 | 0.71749 |
| AQs, paired | 40.127 | 66.209 | -26.082 | 0.60607 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, TT has 54.30%; looking only at deals where they do not, 53.98%. TT does better with a shared suit, by 0.32 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | AQs wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 54.078 | 0.444 | 45.478 | 54.300 |
| No shared suit | 12 | 50.00 | 53.799 | 0.361 | 45.840 | 53.980 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are TT in one seat and AQs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $108.28 for TT and $91.72 for AQs; the first side gains $8.28 per all-in and the second gives up $8.28.
Over a long run, 1,000 deals split into about 539 for TT, 457 for AQs and 4 tied.
The same matchup from the other side
The reversed view, AQs against TT, shows 45.86% for AQs and 54.14% for TT. It is the same count, so it redirects here.
Keep exploring
TsTh against AdQd 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 24 deals of TT against AQs 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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