AQs
69.71%
Wins 68.99%, ties 1.43%
QTs
30.29%
Wins 29.58%, ties 1.43%
AQs against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 68.989 | 1.431 | 29.580 | 69.705 |
| QTs | 29.580 | 1.431 | 68.989 | 30.295 |
Here suited hands face each other, AQs on one side and QTs on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AQs is the clear favorite, though QTs gets there on roughly one board in 3. Ties are part of the picture: 1.43% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, AQs holds place 10 of 169 and QTs holds place 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 14,176,000 | 294,000 | 6,078,000 |
| QTs | 6,078,000 | 294,000 | 14,176,000 |
12 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) |
|---|---|---|---|---|
| AQs | 2.301 | 1.450 | 3.381 | 0.435 |
| QTs | 0.435 | 3.381 | 1.450 | 2.301 |
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
Break the boards down by their first three cards and AQs is strongest on low rainbow flops (nine high or lower) (80.58%) and weakest on monotone flops (63.06%). AQs 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 | AQs wins | Ties | QTs wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 66.888 | 1.253 | 31.859 | 67.515 |
| Rainbow, nine or lower | 7.771 | 80.047 | 1.069 | 18.884 | 80.581 |
| Two-tone | 46.543 | 67.701 | 1.066 | 31.233 | 68.234 |
| Monotone | 5.215 | 61.207 | 3.710 | 35.083 | 63.062 |
| Paired | 17.333 | 72.637 | 2.123 | 25.240 | 73.699 |
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
Against one random hand instead, AQs holds 66.21% and QTs holds 59.47%. Facing each other changes that by +3.50 points for AQs and -29.18 points for QTs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 69.705 | 66.209 | +3.496 | 1.05280 |
| AQs, rainbow, ten or higher | 67.515 | 66.209 | +1.306 | 1.01973 |
| AQs, rainbow, nine or lower | 80.581 | 66.209 | +14.372 | 1.21707 |
| AQs, two-tone | 68.234 | 66.209 | +2.025 | 1.03058 |
| AQs, monotone | 63.062 | 66.209 | -3.147 | 0.95247 |
| AQs, paired | 73.699 | 66.209 | +7.490 | 1.11313 |
| QTs, all flops | 30.295 | 59.468 | -29.173 | 0.50943 |
| QTs, rainbow, ten or higher | 32.485 | 59.468 | -26.983 | 0.54626 |
| QTs, rainbow, nine or lower | 19.419 | 59.468 | -40.049 | 0.32655 |
| QTs, two-tone | 31.766 | 59.468 | -27.702 | 0.53417 |
| QTs, monotone | 36.938 | 59.468 | -22.530 | 0.62114 |
| QTs, paired | 26.301 | 59.468 | -33.167 | 0.44227 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | AQs wins | Ties | QTs wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.989 | 1.431 | 29.580 | 69.705 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against QTs, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: AQs averages $139.42 back, ahead of its $100 by $39.42, while QTs averages $60.58, short of its $100 by $39.42.
Per 1,000 deals: AQs wins about 690, QTs wins about 296, and about 14 end in a split pot.
The same matchup from the other side
Read it from the other side: QTs against AQs is the same matchup with the numbers swapped, so QTs holds 30.29% and AQs holds 69.71%. That address sends you back to this page.
Keep exploring
AsQs against QhTh 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 12 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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