A7s
55.45%
Wins 55.21%, ties 0.48%
QTs
44.55%
Wins 44.31%, ties 0.48%
A7s against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 55.210 | 0.475 | 44.315 | 55.447 |
| QTs | 44.315 | 0.475 | 55.210 | 44.553 |
A7s and QTs are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, A7s is number 24 and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 15,126,000 | 130,000 | 12,141,000 |
| QTs | 12,141,000 | 130,000 | 15,126,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| A7s | 1.245 | 1.811 | 2.257 | 0.804 |
| QTs | 0.804 | 2.257 | 1.811 | 1.245 |
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
A7s prefers low rainbow flops (nine high or lower), where it holds 72.24%, and likes rainbow flops topped by a ten or better least, where it holds 49.22%. Rainbow flops topped by a ten or better favor QTs, the hand that is behind overall.
| Flop | Share of flops | A7s wins | Ties | QTs wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.147 | 0.154 | 50.699 | 49.224 |
| Rainbow, nine or lower | 7.042 | 71.934 | 0.607 | 27.459 | 72.237 |
| Two-tone | 46.727 | 54.079 | 0.233 | 45.688 | 54.195 |
| Monotone | 5.273 | 51.543 | 3.397 | 45.060 | 53.242 |
| Paired | 17.091 | 61.008 | 0.628 | 38.364 | 61.322 |
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 A7s 60.98% and QTs 59.47%. Against each other the change is -5.53 points for A7s and -14.92 for QTs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 55.447 | 60.984 | -5.537 | 0.90921 |
| A7s, rainbow, ten or higher | 49.224 | 60.984 | -11.760 | 0.80716 |
| A7s, rainbow, nine or lower | 72.237 | 60.984 | +11.253 | 1.18452 |
| A7s, two-tone | 54.195 | 60.984 | -6.789 | 0.88868 |
| A7s, monotone | 53.242 | 60.984 | -7.742 | 0.87305 |
| A7s, paired | 61.322 | 60.984 | +0.338 | 1.00554 |
| QTs, all flops | 44.553 | 59.468 | -14.915 | 0.74919 |
| QTs, rainbow, ten or higher | 50.776 | 59.468 | -8.692 | 0.85384 |
| QTs, rainbow, nine or lower | 27.763 | 59.468 | -31.705 | 0.46686 |
| QTs, two-tone | 45.805 | 59.468 | -13.663 | 0.77025 |
| QTs, monotone | 46.758 | 59.468 | -12.710 | 0.78627 |
| QTs, paired | 38.678 | 59.468 | -20.790 | 0.65040 |
Does a shared suit matter?
Does suit overlap move the numbers? A7s has 57.16% when the hands share a suit and 54.88% when they do not. A7s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | QTs wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.882 | 0.551 | 42.567 | 57.158 |
| No shared suit | 12 | 75.00 | 54.652 | 0.449 | 44.899 | 54.877 |
How often this matchup comes up
Counting specific cards, A7s against QTs appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Put $100 each into a $200 pot and deal every board once: A7s averages $110.90 back, ahead of its $100 by $10.90, while QTs averages $89.10, short of its $100 by $10.90.
Think in thousands: about 552 of 1,000 go to A7s, about 443 go to QTs, and about 5 are chopped.
The same matchup from the other side
Read it from the other side: QTs against A7s is the same matchup with the numbers swapped, so QTs holds 44.55% and A7s holds 55.45%. That address sends you back to this page.
Keep exploring
Try As7s against QhTh 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 16 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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