AQo
68.55%
Wins 67.83%, ties 1.45%
QTs
31.45%
Wins 30.72%, ties 1.45%
AQo against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 67.826 | 1.449 | 30.725 | 68.550 |
| QTs | 30.725 | 1.449 | 67.826 | 31.450 |
The first hand is an offsuit hand; the second is 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 the clear favorite, though QTs gets there on roughly one board in 3. Ties are 1.45% of the outcomes here; each tied board gives both hands half the pot.
For context, AQo sits at number 14 of 169 starting hands and QTs at number 34 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 41,810,000 | 893,000 | 18,940,000 |
| QTs | 18,940,000 | 893,000 | 41,810,000 |
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 | 2.180 | 1.474 | 3.255 | 0.459 |
| QTs | 0.459 | 3.255 | 1.474 | 2.180 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, AQo's equity runs from 64.17% on monotone flops up to 79.92% 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 | QTs wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 65.912 | 1.292 | 32.796 | 66.558 |
| Rainbow, nine or lower | 7.771 | 79.355 | 1.124 | 19.521 | 79.917 |
| Two-tone | 46.527 | 65.968 | 1.171 | 32.861 | 66.553 |
| Monotone | 5.192 | 62.748 | 2.834 | 34.418 | 64.165 |
| Paired | 17.333 | 71.726 | 2.135 | 26.139 | 72.793 |
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 +4.12 points for AQo, from 64.43%, and -28.02 for QTs, from 59.47%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 68.550 | 64.432 | +4.118 | 1.06391 |
| AQo, rainbow, ten or higher | 66.558 | 64.432 | +2.126 | 1.03300 |
| AQo, rainbow, nine or lower | 79.917 | 64.432 | +15.485 | 1.24033 |
| AQo, two-tone | 66.553 | 64.432 | +2.121 | 1.03292 |
| AQo, monotone | 64.165 | 64.432 | -0.267 | 0.99586 |
| AQo, paired | 72.793 | 64.432 | +8.361 | 1.12976 |
| QTs, all flops | 31.450 | 59.468 | -28.018 | 0.52886 |
| QTs, rainbow, ten or higher | 33.442 | 59.468 | -26.026 | 0.56235 |
| QTs, rainbow, nine or lower | 20.083 | 59.468 | -39.385 | 0.33771 |
| QTs, two-tone | 33.447 | 59.468 | -26.021 | 0.56244 |
| QTs, monotone | 35.835 | 59.468 | -23.633 | 0.60259 |
| QTs, paired | 27.207 | 59.468 | -32.261 | 0.45751 |
Does a shared suit matter?
The suit split reads 69.58% for AQo with a shared suit and 68.04% without one. AQo does better with a shared suit, by 1.54 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | QTs wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.821 | 1.519 | 29.660 | 69.580 |
| No shared suit | 24 | 66.67 | 67.328 | 1.414 | 31.258 | 68.035 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AQo averages $137.10 from the $200, up $37.10; QTs averages $62.90, down $37.10.
Over a long run, 1,000 deals split into about 678 for AQo, 307 for QTs and 15 tied.
The same matchup from the other side
Read it from the other side: QTs against AQo is the same matchup with the numbers swapped, so QTs holds 31.45% and AQo holds 68.55%. That address sends you back to this page.
Keep exploring
AsQh against QdTd 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
Nothing here is simulated. The 36 deals of AQo against QTs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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