AQo
60.53%
Wins 60.31%, ties 0.43%
T8s
39.47%
Wins 39.26%, ties 0.43%
AQo against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 60.313 | 0.432 | 39.255 | 60.529 |
| T8s | 39.255 | 0.432 | 60.313 | 39.471 |
The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 21.06 point lead is real, and T8s still takes about 393 of every 1,000 deals outright. A split pot comes up on 0.43% of boards, so the wins and the equity differ by half of that.
The hand ranking puts AQo at 14 and T8s at 73 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,572,000 | 355,000 | 32,264,000 |
| T8s | 32,264,000 | 355,000 | 49,572,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| AQo | 1.534 | 1.658 | 2.547 | 0.652 |
| T8s | 0.652 | 2.547 | 1.658 | 1.534 |
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
Across the five flop textures AQo's equity moves by 14.56 points, from 50.48% on low rainbow flops (nine high or lower) to 65.04% on rainbow flops topped by a ten or better. AQo stays ahead on all five textures.
| Flop | Share of flops | AQo wins | Ties | T8s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 64.971 | 0.146 | 34.883 | 65.044 |
| Rainbow, nine or lower | 7.042 | 50.130 | 0.699 | 49.171 | 50.479 |
| Two-tone | 46.667 | 58.808 | 0.253 | 40.939 | 58.935 |
| Monotone | 5.212 | 57.526 | 2.363 | 40.111 | 58.708 |
| Paired | 17.091 | 62.930 | 0.624 | 36.446 | 63.242 |
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
How much does the opponent matter? Compared with its random-hand 64.43%, AQo changes by -3.90 points, and T8s, from 52.33%, by -12.86.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 60.529 | 64.432 | -3.903 | 0.93942 |
| AQo, rainbow, ten or higher | 65.044 | 64.432 | +0.612 | 1.00950 |
| AQo, rainbow, nine or lower | 50.479 | 64.432 | -13.953 | 0.78345 |
| AQo, two-tone | 58.935 | 64.432 | -5.497 | 0.91469 |
| AQo, monotone | 58.708 | 64.432 | -5.724 | 0.91116 |
| AQo, paired | 63.242 | 64.432 | -1.190 | 0.98153 |
| T8s, all flops | 39.471 | 52.334 | -12.863 | 0.75421 |
| T8s, rainbow, ten or higher | 34.956 | 52.334 | -17.378 | 0.66794 |
| T8s, rainbow, nine or lower | 49.521 | 52.334 | -2.813 | 0.94625 |
| T8s, two-tone | 41.065 | 52.334 | -11.269 | 0.78467 |
| T8s, monotone | 41.292 | 52.334 | -11.042 | 0.78901 |
| T8s, paired | 36.758 | 52.334 | -15.576 | 0.70237 |
Does a shared suit matter?
Does suit overlap move the numbers? AQo has 61.22% when the hands share a suit and 59.84% when they do not. AQo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | T8s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.987 | 0.473 | 38.540 | 61.223 |
| No shared suit | 24 | 50.00 | 59.639 | 0.391 | 39.970 | 59.835 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AQo against T8s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AQo is worth $121.06 on average (+$21.06); T8s is worth $78.94 (-$21.06).
Think in thousands: about 603 of 1,000 go to AQo, about 393 go to T8s, and about 4 are chopped.
The same matchup from the other side
T8s versus AQo is this same page seen from the other hand: 39.47% for T8s, 60.53% for AQo.
Keep exploring
Try AsQh against Td8d 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
Nothing here is simulated. The 48 deals of AQo against T8s 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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