A7s
55.45%
Wins 55.20%, ties 0.48%
QJs
44.55%
Wins 44.32%, ties 0.48%
A7s against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 55.204 | 0.482 | 44.314 | 55.445 |
| QJs | 44.314 | 0.482 | 55.204 | 44.555 |
Each side holds one of the suited hands: A7s and QJs. 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. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, A7s holds place 24 of 169 and QJs holds place 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 15,124,000 | 132,000 | 12,141,000 |
| QJs | 12,141,000 | 132,000 | 15,124,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 1.244 | 1.811 | 2.257 | 0.804 |
| QJs | 0.804 | 2.257 | 1.811 | 1.244 |
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
By flop texture, A7s' equity runs from 49.01% on rainbow flops topped by a ten or better up to 72.99% on low rainbow flops (nine high or lower). QJs is ahead on rainbow flops topped by a ten or better, even though it trails A7s when every flop is counted.
| Flop | Share of flops | A7s wins | Ties | QJs wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 48.944 | 0.124 | 50.932 | 49.006 |
| Rainbow, nine or lower | 7.042 | 72.609 | 0.761 | 26.630 | 72.990 |
| Two-tone | 46.727 | 54.076 | 0.242 | 45.682 | 54.197 |
| Monotone | 5.273 | 51.541 | 3.402 | 45.057 | 53.242 |
| Paired | 17.091 | 60.987 | 0.624 | 38.389 | 61.299 |
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
Against one random hand instead, A7s holds 60.98% and QJs holds 60.26%. Facing each other changes that by -5.53 points for A7s and -15.71 points for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 55.445 | 60.984 | -5.539 | 0.90917 |
| A7s, rainbow, ten or higher | 49.006 | 60.984 | -11.978 | 0.80359 |
| A7s, rainbow, nine or lower | 72.990 | 60.984 | +12.006 | 1.19687 |
| A7s, two-tone | 54.197 | 60.984 | -6.787 | 0.88871 |
| A7s, monotone | 53.242 | 60.984 | -7.742 | 0.87305 |
| A7s, paired | 61.299 | 60.984 | +0.315 | 1.00517 |
| QJs, all flops | 44.555 | 60.259 | -15.704 | 0.73939 |
| QJs, rainbow, ten or higher | 50.994 | 60.259 | -9.265 | 0.84625 |
| QJs, rainbow, nine or lower | 27.010 | 60.259 | -33.249 | 0.44823 |
| QJs, two-tone | 45.803 | 60.259 | -14.456 | 0.76010 |
| QJs, monotone | 46.758 | 60.259 | -13.501 | 0.77595 |
| QJs, paired | 38.701 | 60.259 | -21.558 | 0.64224 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A7s holds 57.16%. In 12 they do not, and it holds 54.88%. A7s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | QJs wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.876 | 0.560 | 42.564 | 57.156 |
| No shared suit | 12 | 75.00 | 54.646 | 0.457 | 44.897 | 54.875 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are A7s in one seat and QJs in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A7s takes back $110.90 of it, which is $10.90 more than it put in, and QJs takes back $89.10, $10.90 less than it put in.
Think in thousands: about 552 of 1,000 go to A7s, about 443 go to QJs, and about 5 are chopped.
The same matchup from the other side
If you came looking for QJs against A7s, the numbers are the same with the hands swapped: 44.55% and 55.45%.
Keep exploring
Open the calculator with As7s against QhJh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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