TT
56.95%
Wins 56.76%, ties 0.38%
AQo
43.05%
Wins 42.86%, ties 0.38%
TT against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 56.757 | 0.384 | 42.859 | 56.949 |
| AQo | 42.859 | 0.384 | 56.757 | 43.051 |
TT and AQo are a pocket pair and an offsuit hand, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.38% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, TT holds place 5 of 169 and AQo holds place 14.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 69,973,000 | 473,000 | 52,839,000 |
| AQo | 52,839,000 | 473,000 | 69,973,000 |
Exact total: 72 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 | 1.323 | 1.762 | 2.333 | 0.756 |
| AQo | 0.756 | 2.333 | 1.762 | 1.323 |
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
TT prefers low rainbow flops (nine high or lower), where it holds 74.42%, and likes rainbow flops topped by a ten or better least, where it holds 50.10%. TT 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 | TT wins | Ties | AQo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 50.028 | 0.136 | 49.836 | 50.096 |
| Rainbow, nine or lower | 7.771 | 73.918 | 1.010 | 25.072 | 74.423 |
| Two-tone | 46.485 | 55.616 | 0.340 | 44.044 | 55.786 |
| Monotone | 5.151 | 51.909 | 1.718 | 46.373 | 52.768 |
| Paired | 17.333 | 62.592 | 0.160 | 37.248 | 62.672 |
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
Compared with a random opponent, this matchup shifts TT from 75.01% by -18.06 points and AQo from 64.43% by -21.38 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 56.949 | 75.012 | -18.063 | 0.75920 |
| TT, rainbow, ten or higher | 50.096 | 75.012 | -24.916 | 0.66784 |
| TT, rainbow, nine or lower | 74.423 | 75.012 | -0.589 | 0.99215 |
| TT, two-tone | 55.786 | 75.012 | -19.226 | 0.74369 |
| TT, monotone | 52.768 | 75.012 | -22.244 | 0.70346 |
| TT, paired | 62.672 | 75.012 | -12.340 | 0.83549 |
| AQo, all flops | 43.051 | 64.432 | -21.381 | 0.66816 |
| AQo, rainbow, ten or higher | 49.904 | 64.432 | -14.528 | 0.77452 |
| AQo, rainbow, nine or lower | 25.577 | 64.432 | -38.855 | 0.39696 |
| AQo, two-tone | 44.214 | 64.432 | -20.218 | 0.68621 |
| AQo, monotone | 47.232 | 64.432 | -17.200 | 0.73305 |
| AQo, paired | 37.328 | 64.432 | -27.104 | 0.57934 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and TT holds 56.87%. In 12 they do not, and it holds 57.35%. TT does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | AQo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.669 | 0.400 | 42.931 | 56.869 |
| No shared suit | 12 | 16.67 | 57.196 | 0.305 | 42.499 | 57.349 |
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 AQo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. TT is worth $113.90 on average (+$13.90); AQo is worth $86.10 (-$13.90).
Run 1,000 deals and the tally comes out near 567 for TT, 429 for AQo and 4 ties.
The same matchup from the other side
Swap the hands and you get AQo with 43.05% against TT with 56.95%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with TsTh against AdQc 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of TT against AQo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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