AQo
58.85%
Wins 58.59%, ties 0.51%
54s
41.15%
Wins 40.90%, ties 0.51%
AQo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 58.591 | 0.511 | 40.898 | 58.847 |
| 54s | 40.898 | 0.511 | 58.591 | 41.153 |
The matchup pits an offsuit hand against a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 17.70 point lead is real, and 54s still takes about 409 of every 1,000 deals outright. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, AQo is number 14 and 54s is number 136 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 48,156,000 | 420,000 | 33,614,000 |
| 54s | 33,614,000 | 420,000 | 48,156,000 |
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 | 1.430 | 1.707 | 2.445 | 0.699 |
| 54s | 0.699 | 2.445 | 1.707 | 1.430 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures AQo's equity moves by 34.19 points, from 32.48% on low rainbow flops (nine high or lower) to 66.67% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | AQo wins | Ties | 54s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.574 | 0.188 | 33.238 | 66.668 |
| Rainbow, nine or lower | 6.313 | 31.963 | 1.025 | 67.012 | 32.476 |
| Two-tone | 46.667 | 56.877 | 0.337 | 42.786 | 57.045 |
| Monotone | 5.212 | 56.085 | 2.490 | 41.425 | 57.330 |
| Paired | 17.091 | 62.328 | 0.661 | 37.011 | 62.658 |
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
Each hand has a baseline against a random hand: 64.43% for AQo, 41.45% for 54s. Here the change is -5.58 and -0.30 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 58.847 | 64.432 | -5.585 | 0.91332 |
| AQo, rainbow, ten or higher | 66.668 | 64.432 | +2.236 | 1.03470 |
| AQo, rainbow, nine or lower | 32.476 | 64.432 | -31.956 | 0.50404 |
| AQo, two-tone | 57.045 | 64.432 | -7.387 | 0.88535 |
| AQo, monotone | 57.330 | 64.432 | -7.102 | 0.88978 |
| AQo, paired | 62.658 | 64.432 | -1.774 | 0.97247 |
| 54s, all flops | 41.153 | 41.453 | -0.300 | 0.99276 |
| 54s, rainbow, ten or higher | 33.332 | 41.453 | -8.121 | 0.80409 |
| 54s, rainbow, nine or lower | 67.524 | 41.453 | +26.071 | 1.62893 |
| 54s, two-tone | 42.955 | 41.453 | +1.502 | 1.03623 |
| 54s, monotone | 42.670 | 41.453 | +1.217 | 1.02936 |
| 54s, paired | 37.342 | 41.453 | -4.111 | 0.90083 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AQo has 59.52%; looking only at deals where they do not, 58.18%. AQo does better with a shared suit, by 1.34 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 54s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.241 | 0.550 | 40.209 | 59.516 |
| No shared suit | 24 | 50.00 | 57.941 | 0.473 | 41.586 | 58.177 |
How often this matchup comes up
Counting specific cards, AQo against 54s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $117.70 (a gain of $17.70) and 54s' is $82.30 (a loss of $17.70).
Over a long run, 1,000 deals split into about 586 for AQo, 409 for 54s and 5 tied.
The same matchup from the other side
The mirror image, 54s against AQo, is 41.15% to 58.85%, and its address redirects to this page.
Keep exploring
The calculator link fills in AsQh against 5d4d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one 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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