AQo
60.15%
Wins 59.89%, ties 0.52%
53s
39.85%
Wins 39.59%, ties 0.52%
AQo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 59.892 | 0.522 | 39.586 | 60.153 |
| 53s | 39.586 | 0.522 | 59.892 | 39.847 |
Here an offsuit hand (AQo) meets a suited hand (53s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.52%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, AQo is number 14 and 53s is number 146 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,226,000 | 429,000 | 32,536,000 |
| 53s | 32,536,000 | 429,000 | 49,226,000 |
The board total is exact, 48 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 | 1.510 | 1.670 | 2.526 | 0.662 |
| 53s | 0.662 | 2.526 | 1.670 | 1.510 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: AQo holds 67.96% on rainbow flops topped by a ten or better and 34.60% on low rainbow flops (nine high or lower). 53s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | AQo wins | Ties | 53s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.867 | 0.188 | 31.945 | 67.961 |
| Rainbow, nine or lower | 6.313 | 34.051 | 1.094 | 64.855 | 34.598 |
| Two-tone | 46.667 | 58.204 | 0.348 | 41.448 | 58.378 |
| Monotone | 5.212 | 57.068 | 2.500 | 40.432 | 58.318 |
| Paired | 17.091 | 63.377 | 0.665 | 35.958 | 63.710 |
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 AQo from 64.43% by -4.28 points and 53s from 39.69% by +0.16 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 60.153 | 64.432 | -4.279 | 0.93359 |
| AQo, rainbow, ten or higher | 67.961 | 64.432 | +3.529 | 1.05477 |
| AQo, rainbow, nine or lower | 34.598 | 64.432 | -29.834 | 0.53697 |
| AQo, two-tone | 58.378 | 64.432 | -6.054 | 0.90604 |
| AQo, monotone | 58.318 | 64.432 | -6.114 | 0.90511 |
| AQo, paired | 63.710 | 64.432 | -0.722 | 0.98879 |
| 53s, all flops | 39.847 | 39.693 | +0.154 | 1.00388 |
| 53s, rainbow, ten or higher | 32.039 | 39.693 | -7.654 | 0.80717 |
| 53s, rainbow, nine or lower | 65.402 | 39.693 | +25.709 | 1.64770 |
| 53s, two-tone | 41.622 | 39.693 | +1.929 | 1.04860 |
| 53s, monotone | 41.682 | 39.693 | +1.989 | 1.05011 |
| 53s, paired | 36.290 | 39.693 | -3.403 | 0.91427 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (AQo at 60.85%) and 24 do not (59.46%). AQo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 53s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.567 | 0.560 | 38.873 | 60.847 |
| No shared suit | 24 | 50.00 | 59.218 | 0.483 | 40.299 | 59.459 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $120.30 (a gain of $20.30) and 53s' is $79.70 (a loss of $20.30).
Out of 1,000 deals you should see around 599 outright wins for AQo, 396 for 53s, and 5 split pots.
The same matchup from the other side
53s versus AQo is this same page seen from the other hand: 39.85% for 53s, 60.15% for AQo.
Keep exploring
AsQh against 5d3d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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