QJs
44.23%
Wins 43.96%, ties 0.55%
A2s
55.77%
Wins 55.49%, ties 0.55%
QJs against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 43.960 | 0.547 | 55.493 | 44.234 |
| A2s | 55.493 | 0.547 | 43.960 | 55.766 |
Both hands are suited hands: QJs and A2s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A2s is ahead, but QJs is far from dead: it takes 440 of every 1,000 deals outright. Split pots make up 0.55% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, QJs is number 28 and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 12,044,000 | 150,000 | 15,203,000 |
| A2s | 15,203,000 | 150,000 | 12,044,000 |
16 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) |
|---|---|---|---|---|
| QJs | 0.793 | 2.275 | 1.802 | 1.261 |
| A2s | 1.261 | 1.802 | 2.275 | 0.793 |
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
Low rainbow flops (nine high or lower) are the best for A2s (73.15%); rainbow flops topped by a ten or better are the worst (49.45%). QJs is ahead on rainbow flops topped by a ten or better, even though it trails A2s when every flop is counted.
| Flop | Share of flops | QJs wins | Ties | A2s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 50.497 | 0.113 | 49.390 | 50.553 |
| Rainbow, nine or lower | 7.042 | 26.268 | 1.168 | 72.564 | 26.852 |
| Two-tone | 46.727 | 45.306 | 0.312 | 54.382 | 45.462 |
| Monotone | 5.273 | 44.763 | 3.448 | 51.789 | 46.487 |
| Paired | 17.091 | 38.195 | 0.645 | 61.160 | 38.518 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 60.26% for QJs and 57.38% for A2s. This opponent changes them by -16.03 and -1.61 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 44.234 | 60.259 | -16.025 | 0.73406 |
| QJs, rainbow, ten or higher | 50.553 | 60.259 | -9.706 | 0.83893 |
| QJs, rainbow, nine or lower | 26.852 | 60.259 | -33.407 | 0.44561 |
| QJs, two-tone | 45.462 | 60.259 | -14.797 | 0.75444 |
| QJs, monotone | 46.487 | 60.259 | -13.772 | 0.77145 |
| QJs, paired | 38.518 | 60.259 | -21.741 | 0.63921 |
| A2s, all flops | 55.766 | 57.379 | -1.613 | 0.97189 |
| A2s, rainbow, ten or higher | 49.447 | 57.379 | -7.932 | 0.86176 |
| A2s, rainbow, nine or lower | 73.148 | 57.379 | +15.769 | 1.27482 |
| A2s, two-tone | 54.538 | 57.379 | -2.841 | 0.95049 |
| A2s, monotone | 53.513 | 57.379 | -3.866 | 0.93262 |
| A2s, paired | 61.482 | 57.379 | +4.103 | 1.07151 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A2s holds 57.51%. In 12 they do not, and it holds 55.19%. A2s does better with a shared suit, by 2.32 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | A2s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 42.176 | 0.629 | 57.195 | 42.491 |
| No shared suit | 12 | 75.00 | 44.556 | 0.519 | 54.925 | 44.815 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are QJs against A2s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. A2s' equity of 55.77% is worth $111.54, a $11.54 edge, and QJs' 44.23% is worth $88.46, which is $11.54 under its stake.
Think in thousands: about 555 of 1,000 go to A2s, about 440 go to QJs, and about 5 are chopped.
The same matchup from the other side
Read it from the other side: A2s against QJs is the same matchup with the numbers swapped, so A2s holds 55.77% and QJs holds 44.23%. That address sends you back to this page.
Keep exploring
Open the calculator with QsJs against Ah2h 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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