AKo
64.48%
Wins 64.25%, ties 0.46%
QTo
35.52%
Wins 35.29%, ties 0.46%
AKo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 64.254 | 0.455 | 35.291 | 64.482 |
| QTo | 35.291 | 0.455 | 64.254 | 35.518 |
AKo and QTo are both offsuit hands. 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 0.46% of the outcomes here; each tied board gives both hands half the pot.
AKo ranks number 12 of 169 starting hands, and QTo ranks number 47, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 158,432,000 | 1,122,000 | 87,018,000 |
| QTo | 87,018,000 | 1,122,000 | 158,432,000 |
The board total is exact, 144 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) |
|---|---|---|---|---|
| AKo | 1.815 | 1.556 | 2.834 | 0.551 |
| QTo | 0.551 | 2.834 | 1.556 | 1.815 |
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
By flop texture, AKo's equity runs from 60.69% on rainbow flops topped by a ten or better up to 73.82% on low rainbow flops (nine high or lower). AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | QTo wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 60.632 | 0.117 | 39.251 | 60.691 |
| Rainbow, nine or lower | 7.771 | 73.304 | 1.039 | 25.657 | 73.824 |
| Two-tone | 46.606 | 63.806 | 0.332 | 35.862 | 63.972 |
| Monotone | 5.151 | 62.668 | 1.712 | 35.620 | 63.524 |
| Paired | 17.091 | 66.797 | 0.604 | 32.599 | 67.099 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 65.32% for AKo, 57.29% for QTo. Here the change is -0.84 and -21.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 64.482 | 65.320 | -0.838 | 0.98717 |
| AKo, rainbow, ten or higher | 60.691 | 65.320 | -4.629 | 0.92913 |
| AKo, rainbow, nine or lower | 73.824 | 65.320 | +8.504 | 1.13019 |
| AKo, two-tone | 63.972 | 65.320 | -1.348 | 0.97936 |
| AKo, monotone | 63.524 | 65.320 | -1.796 | 0.97250 |
| AKo, paired | 67.099 | 65.320 | +1.779 | 1.02724 |
| QTo, all flops | 35.518 | 57.291 | -21.773 | 0.61996 |
| QTo, rainbow, ten or higher | 39.309 | 57.291 | -17.982 | 0.68613 |
| QTo, rainbow, nine or lower | 26.176 | 57.291 | -31.115 | 0.45690 |
| QTo, two-tone | 36.028 | 57.291 | -21.263 | 0.62886 |
| QTo, monotone | 36.476 | 57.291 | -20.815 | 0.63668 |
| QTo, paired | 32.901 | 57.291 | -24.390 | 0.57428 |
Does a shared suit matter?
The suit split reads 64.59% for AKo with a shared suit and 63.95% without one. AKo does better with a shared suit, by 0.64 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | QTo wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 64.353 | 0.470 | 35.177 | 64.588 |
| No shared suit | 24 | 16.67 | 63.763 | 0.375 | 35.862 | 63.950 |
How often this matchup comes up
How often does it happen? 144 of the 1,624,350 ordered deals (0.0089%) are AKo against QTo, and 288 (0.0177%) 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 AKo gets $128.96 of it on average and QTo gets $71.04.
Out of 1,000 deals you should see around 642 outright wins for AKo, 353 for QTo, and 5 split pots.
The same matchup from the other side
QTo against AKo adds nothing new: it is 35.52% for QTo and 64.48% for AKo, the same figures reversed.
Keep exploring
Try AsKh against QdTc 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
Method: exact enumeration. The 144 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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