AJs
63.47%
Wins 63.24%, ties 0.46%
QTo
36.53%
Wins 36.30%, ties 0.46%
AJs against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 63.237 | 0.458 | 36.305 | 63.466 |
| QTo | 36.305 | 0.458 | 63.237 | 36.534 |
AJs and QTo are a suited hand and an offsuit hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
AJs is ahead, but QTo is far from dead: it takes 363 of every 1,000 deals outright. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.
Place 11 of 169 belongs to AJs and place 47 belongs to QTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 51,975,000 | 376,000 | 29,839,000 |
| QTo | 29,839,000 | 376,000 | 51,975,000 |
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) |
|---|---|---|---|---|
| AJs | 1.737 | 1.581 | 2.754 | 0.576 |
| QTo | 0.576 | 2.754 | 1.581 | 1.737 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for AJs (74.95%); rainbow flops topped by a ten or better are the worst (57.97%). AJs 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 | AJs wins | Ties | QTo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 57.909 | 0.111 | 41.980 | 57.965 |
| Rainbow, nine or lower | 7.770 | 74.493 | 0.912 | 24.595 | 74.949 |
| Two-tone | 46.667 | 63.241 | 0.284 | 36.475 | 63.383 |
| Monotone | 5.212 | 58.161 | 2.375 | 39.464 | 59.348 |
| Paired | 17.091 | 66.908 | 0.612 | 32.480 | 67.214 |
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
Each hand has a baseline against a random hand: 65.39% for AJs, 57.29% for QTo. Here the change is -1.92 and -20.76 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 63.466 | 65.393 | -1.927 | 0.97053 |
| AJs, rainbow, ten or higher | 57.965 | 65.393 | -7.428 | 0.88641 |
| AJs, rainbow, nine or lower | 74.949 | 65.393 | +9.556 | 1.14613 |
| AJs, two-tone | 63.383 | 65.393 | -2.010 | 0.96926 |
| AJs, monotone | 59.348 | 65.393 | -6.045 | 0.90756 |
| AJs, paired | 67.214 | 65.393 | +1.821 | 1.02785 |
| QTo, all flops | 36.534 | 57.291 | -20.757 | 0.63769 |
| QTo, rainbow, ten or higher | 42.035 | 57.291 | -15.256 | 0.73371 |
| QTo, rainbow, nine or lower | 25.051 | 57.291 | -32.240 | 0.43726 |
| QTo, two-tone | 36.617 | 57.291 | -20.674 | 0.63914 |
| QTo, monotone | 40.652 | 57.291 | -16.639 | 0.70957 |
| QTo, paired | 32.786 | 57.291 | -24.505 | 0.57227 |
Does a shared suit matter?
Split by suits, the deals give AJs 63.22% when the hands overlap in a suit and 63.71% when they do not. AJs does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | QTo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.973 | 0.498 | 36.529 | 63.222 |
| No shared suit | 24 | 50.00 | 63.501 | 0.417 | 36.082 | 63.710 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $126.94 of it, which is $26.94 more than it put in, and QTo takes back $73.06, $26.94 less than it put in.
Per 1,000 deals: AJs wins about 632, QTo wins about 363, and about 5 end in a split pot.
The same matchup from the other side
The mirror image, QTo against AJs, is 36.53% to 63.47%, and its address redirects to this page.
Keep exploring
Try AsJs 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 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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