A2s
58.16%
Wins 57.91%, ties 0.50%
QTo
41.84%
Wins 41.59%, ties 0.50%
A2s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 57.912 | 0.495 | 41.593 | 58.160 |
| QTo | 41.593 | 0.495 | 57.912 | 41.840 |
Here a suited hand (A2s) meets an offsuit hand (QTo). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.50% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, A2s is number 46 of the 169 starting hands and QTo is number 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 47,598,000 | 407,000 | 34,186,000 |
| QTo | 34,186,000 | 407,000 | 47,598,000 |
48 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) |
|---|---|---|---|---|
| A2s | 1.390 | 1.727 | 2.404 | 0.719 |
| QTo | 0.719 | 2.404 | 1.727 | 1.390 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
A2s prefers low rainbow flops (nine high or lower), where it holds 74.09%, and likes rainbow flops topped by a ten or better least, where it holds 50.64%. A2s 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 | A2s wins | Ties | QTo wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.562 | 0.159 | 49.279 | 50.642 |
| Rainbow, nine or lower | 7.042 | 73.587 | 1.003 | 25.410 | 74.089 |
| Two-tone | 46.667 | 57.573 | 0.320 | 42.107 | 57.733 |
| Monotone | 5.212 | 54.023 | 2.404 | 43.573 | 55.225 |
| Paired | 17.091 | 63.884 | 0.649 | 35.467 | 64.209 |
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
A random hand would give A2s 57.38% and QTo 57.29%. Against each other the change is +0.78 points for A2s and -15.45 for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 58.160 | 57.379 | +0.781 | 1.01361 |
| A2s, rainbow, ten or higher | 50.642 | 57.379 | -6.737 | 0.88259 |
| A2s, rainbow, nine or lower | 74.089 | 57.379 | +16.710 | 1.29122 |
| A2s, two-tone | 57.733 | 57.379 | +0.354 | 1.00617 |
| A2s, monotone | 55.225 | 57.379 | -2.154 | 0.96246 |
| A2s, paired | 64.209 | 57.379 | +6.830 | 1.11903 |
| QTo, all flops | 41.840 | 57.291 | -15.451 | 0.73031 |
| QTo, rainbow, ten or higher | 49.358 | 57.291 | -7.933 | 0.86153 |
| QTo, rainbow, nine or lower | 25.911 | 57.291 | -31.380 | 0.45227 |
| QTo, two-tone | 42.267 | 57.291 | -15.024 | 0.73776 |
| QTo, monotone | 44.775 | 57.291 | -12.516 | 0.78154 |
| QTo, paired | 35.791 | 57.291 | -21.500 | 0.62472 |
Does a shared suit matter?
Does suit overlap move the numbers? A2s has 57.81% when the hands share a suit and 58.51% when they do not. A2s does better with no shared suit, by 0.70 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | QTo wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.538 | 0.536 | 41.926 | 57.806 |
| No shared suit | 24 | 50.00 | 58.287 | 0.452 | 41.261 | 58.513 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are A2s against QTo, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A2s gets $116.32 of it on average and QTo gets $83.68.
Over a long run, 1,000 deals split into about 579 for A2s, 416 for QTo and 5 tied.
The same matchup from the other side
If you came looking for QTo against A2s, the numbers are the same with the hands swapped: 41.84% and 58.16%.
Keep exploring
Try As2s against QhTd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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