AQo
69.14%
Wins 66.51%, ties 5.27%
A6s
30.86%
Wins 28.22%, ties 5.27%
AQo against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 66.511 | 5.265 | 28.224 | 69.143 |
| A6s | 28.224 | 5.265 | 66.511 | 30.857 |
The matchup pits an offsuit hand against a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AQo is well ahead, and A6s needs a specific kind of board to catch up. A split pot comes up on 5.27% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, AQo holds place 14 of 169 and A6s holds place 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 40,999,000 | 3,246,000 | 17,398,000 |
| A6s | 17,398,000 | 3,246,000 | 40,999,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 2.241 | 1.504 | 3.543 | 0.446 |
| A6s | 0.446 | 3.543 | 1.504 | 2.241 |
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
By flop texture, AQo's equity runs from 55.33% on low rainbow flops (nine high or lower) up to 76.66% on rainbow flops topped by a ten or better. AQo 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 | AQo wins | Ties | A6s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.975 | 3.360 | 21.665 | 76.655 |
| Rainbow, nine or lower | 7.042 | 53.884 | 2.893 | 43.223 | 55.331 |
| Two-tone | 46.527 | 66.484 | 3.101 | 30.415 | 68.035 |
| Monotone | 5.192 | 61.776 | 4.449 | 33.775 | 64.000 |
| Paired | 17.334 | 61.457 | 14.909 | 23.634 | 68.911 |
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
Relative to a random opponent, AQo changes by +4.71 points (baseline 64.43%) and A6s by -29.05 points (baseline 59.91%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 69.143 | 64.432 | +4.711 | 1.07312 |
| AQo, rainbow, ten or higher | 76.655 | 64.432 | +12.223 | 1.18970 |
| AQo, rainbow, nine or lower | 55.331 | 64.432 | -9.101 | 0.85875 |
| AQo, two-tone | 68.035 | 64.432 | +3.603 | 1.05592 |
| AQo, monotone | 64.000 | 64.432 | -0.432 | 0.99330 |
| AQo, paired | 68.911 | 64.432 | +4.479 | 1.06952 |
| A6s, all flops | 30.857 | 59.906 | -29.049 | 0.51509 |
| A6s, rainbow, ten or higher | 23.345 | 59.906 | -36.561 | 0.38969 |
| A6s, rainbow, nine or lower | 44.669 | 59.906 | -15.237 | 0.74565 |
| A6s, two-tone | 31.965 | 59.906 | -27.941 | 0.53359 |
| A6s, monotone | 36.000 | 59.906 | -23.906 | 0.60094 |
| A6s, paired | 31.089 | 59.906 | -28.817 | 0.51896 |
Does a shared suit matter?
Split by suits, the deals give AQo 69.98% when the hands overlap in a suit and 68.73% when they do not. AQo does better with a shared suit, by 1.25 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | A6s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.299 | 5.351 | 27.350 | 69.975 |
| No shared suit | 24 | 66.67 | 66.116 | 5.222 | 28.662 | 68.727 |
How often this matchup comes up
Counting specific cards, AQo against A6s appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: AQo averages $138.28 back, ahead of its $100 by $38.28, while A6s averages $61.72, short of its $100 by $38.28.
Out of 1,000 deals you should see around 665 outright wins for AQo, 282 for A6s, and 53 split pots.
The same matchup from the other side
Swap the hands and you get A6s with 30.86% against AQo with 69.14%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with AsQh against Ad6d 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 36 specific deals of AQo against A6s, 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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