AQo
67.94%
Wins 65.11%, ties 5.66%
A5s
32.06%
Wins 29.23%, ties 5.66%
AQo against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 65.111 | 5.658 | 29.231 | 67.940 |
| A5s | 29.231 | 5.658 | 65.111 | 32.060 |
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 A5s needs a specific kind of board to catch up. Of every 100 boards, about 5.66 are split pots, and the equity figures already include them.
Among the 169 starting hands, AQo is number 14 and A5s is number 30 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 40,136,000 | 3,488,000 | 18,019,000 |
| A5s | 18,019,000 | 3,488,000 | 40,136,000 |
36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 2.119 | 1.536 | 3.421 | 0.472 |
| A5s | 0.472 | 3.421 | 1.536 | 2.119 |
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
Split by what the flop looks like, AQo peaks at 75.64% on rainbow flops topped by a ten or better and bottoms out at 52.49% on low rainbow flops (nine high or lower). 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 | A5s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 73.859 | 3.568 | 22.573 | 75.643 |
| Rainbow, nine or lower | 7.042 | 50.371 | 4.231 | 45.398 | 52.486 |
| Two-tone | 46.527 | 64.987 | 3.535 | 31.478 | 66.755 |
| Monotone | 5.192 | 60.765 | 4.770 | 34.465 | 63.150 |
| Paired | 17.334 | 60.670 | 15.082 | 24.248 | 68.211 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
A random hand would give AQo 64.43% and A5s 59.92%. Against each other the change is +3.51 points for AQo and -27.86 for A5s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 67.940 | 64.432 | +3.508 | 1.05444 |
| AQo, rainbow, ten or higher | 75.643 | 64.432 | +11.211 | 1.17400 |
| AQo, rainbow, nine or lower | 52.486 | 64.432 | -11.946 | 0.81460 |
| AQo, two-tone | 66.755 | 64.432 | +2.323 | 1.03605 |
| AQo, monotone | 63.150 | 64.432 | -1.282 | 0.98010 |
| AQo, paired | 68.211 | 64.432 | +3.779 | 1.05865 |
| A5s, all flops | 32.060 | 59.923 | -27.863 | 0.53502 |
| A5s, rainbow, ten or higher | 24.357 | 59.923 | -35.566 | 0.40647 |
| A5s, rainbow, nine or lower | 47.514 | 59.923 | -12.409 | 0.79292 |
| A5s, two-tone | 33.245 | 59.923 | -26.678 | 0.55480 |
| A5s, monotone | 36.850 | 59.923 | -23.073 | 0.61496 |
| A5s, paired | 31.789 | 59.923 | -28.134 | 0.53050 |
Does a shared suit matter?
Does suit overlap move the numbers? AQo has 68.75% when the hands share a suit and 67.54% when they do not. AQo does better with a shared suit, by 1.21 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | A5s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.873 | 5.749 | 28.378 | 68.747 |
| No shared suit | 24 | 66.67 | 64.730 | 5.612 | 29.658 | 67.536 |
How often this matchup comes up
AQo against A5s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Take a $200 pot built from $100 each. AQo's equity of 67.94% is worth $135.88, a $35.88 edge, and A5s' 32.06% is worth $64.12, which is $35.88 under its stake.
Run 1,000 deals and the tally comes out near 651 for AQo, 292 for A5s and 57 ties.
The same matchup from the other side
A5s against AQo adds nothing new: it is 32.06% for A5s and 67.94% for AQo, the same figures reversed.
Keep exploring
Open the calculator with AsQh against Ad5d 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
We counted every case. Each suit pattern of the 36 specific AQo against A5s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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