AQs
48.36%
Wins 48.12%, ties 0.47%
55
51.64%
Wins 51.41%, ties 0.47%
AQs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 48.122 | 0.467 | 51.411 | 48.356 |
| 55 | 51.411 | 0.467 | 48.122 | 51.644 |
One side is a suited hand, the other is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
55 leads by less than 4 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.47% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, AQs is number 10 and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 19,776,000 | 192,000 | 21,128,000 |
| 55 | 21,128,000 | 192,000 | 19,776,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| AQs | 0.936 | 2.078 | 1.945 | 1.068 |
| 55 | 1.068 | 1.945 | 2.078 | 0.936 |
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
Low rainbow flops (nine high or lower) are the best for 55 (78.17%); rainbow flops topped by a ten or better are the worst (45.87%). 55 is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | AQs wins | Ties | 55 wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.037 | 0.188 | 45.775 | 54.131 |
| Rainbow, nine or lower | 6.314 | 21.401 | 0.866 | 77.733 | 21.834 |
| Two-tone | 46.545 | 49.639 | 0.300 | 50.061 | 49.789 |
| Monotone | 5.212 | 47.489 | 2.595 | 49.916 | 48.786 |
| Paired | 17.334 | 45.581 | 0.523 | 53.896 | 45.843 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -17.85 points for AQs, from 66.21%, and -8.69 for 55, from 60.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 48.356 | 66.209 | -17.853 | 0.73035 |
| AQs, rainbow, ten or higher | 54.131 | 66.209 | -12.078 | 0.81758 |
| AQs, rainbow, nine or lower | 21.834 | 66.209 | -44.375 | 0.32977 |
| AQs, two-tone | 49.789 | 66.209 | -16.420 | 0.75200 |
| AQs, monotone | 48.786 | 66.209 | -17.423 | 0.73685 |
| AQs, paired | 45.843 | 66.209 | -20.366 | 0.69240 |
| 55, all flops | 51.644 | 60.325 | -8.681 | 0.85610 |
| 55, rainbow, ten or higher | 45.869 | 60.325 | -14.456 | 0.76036 |
| 55, rainbow, nine or lower | 78.166 | 60.325 | +17.841 | 1.29575 |
| 55, two-tone | 50.211 | 60.325 | -10.114 | 0.83234 |
| 55, monotone | 51.214 | 60.325 | -9.111 | 0.84897 |
| 55, paired | 54.157 | 60.325 | -6.168 | 0.89775 |
Does a shared suit matter?
The suit split reads 51.83% for 55 with a shared suit and 51.46% without one. 55 does better with a shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 55 wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.919 | 0.509 | 51.572 | 48.173 |
| No shared suit | 12 | 50.00 | 48.326 | 0.424 | 51.250 | 48.538 |
How often this matchup comes up
Counting specific cards, AQs against 55 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 55's average share is $103.28 (a gain of $3.28) and AQs' is $96.72 (a loss of $3.28).
A thousand deals look like this: 55 takes 514, AQs takes 481, 5 are ties.
The same matchup from the other side
The mirror image, 55 against AQs, is 51.64% to 48.36%, and its address redirects to this page.
Keep exploring
AsQs against 5h5d 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 24 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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