AQs
69.97%
Wins 69.25%, ties 1.44%
QJs
30.03%
Wins 29.31%, ties 1.44%
AQs against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 69.252 | 1.439 | 29.309 | 69.972 |
| QJs | 29.309 | 1.439 | 69.252 | 30.028 |
The matchup is suited hands on both sides, AQs against QJs. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AQs is the clear favorite, though QJs gets there on roughly one board in 3. About 1.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 10 of 169 belongs to AQs and place 28 belongs to QJs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 14,230,000 | 296,000 | 6,022,000 |
| QJs | 6,022,000 | 296,000 | 14,230,000 |
12 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) |
|---|---|---|---|---|
| AQs | 2.330 | 1.444 | 3.412 | 0.429 |
| QJs | 0.429 | 3.412 | 1.444 | 2.330 |
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 AQs (81.98%); monotone flops are the worst (63.23%). AQs 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 | AQs wins | Ties | QJs wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 66.936 | 1.213 | 31.851 | 67.542 |
| Rainbow, nine or lower | 7.771 | 81.356 | 1.249 | 17.395 | 81.981 |
| Two-tone | 46.543 | 67.998 | 1.077 | 30.925 | 68.536 |
| Monotone | 5.215 | 61.377 | 3.714 | 34.909 | 63.234 |
| Paired | 17.333 | 72.654 | 2.116 | 25.230 | 73.712 |
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
A random hand would give AQs 66.21% and QJs 60.26%. Against each other the change is +3.76 points for AQs and -30.23 for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 69.972 | 66.209 | +3.763 | 1.05684 |
| AQs, rainbow, ten or higher | 67.542 | 66.209 | +1.333 | 1.02013 |
| AQs, rainbow, nine or lower | 81.981 | 66.209 | +15.772 | 1.23822 |
| AQs, two-tone | 68.536 | 66.209 | +2.327 | 1.03515 |
| AQs, monotone | 63.234 | 66.209 | -2.975 | 0.95507 |
| AQs, paired | 73.712 | 66.209 | +7.503 | 1.11332 |
| QJs, all flops | 30.028 | 60.259 | -30.231 | 0.49832 |
| QJs, rainbow, ten or higher | 32.458 | 60.259 | -27.801 | 0.53864 |
| QJs, rainbow, nine or lower | 18.019 | 60.259 | -42.240 | 0.29903 |
| QJs, two-tone | 31.464 | 60.259 | -28.795 | 0.52215 |
| QJs, monotone | 36.766 | 60.259 | -23.493 | 0.61013 |
| QJs, paired | 26.288 | 60.259 | -33.971 | 0.43625 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | AQs wins | Ties | QJs wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.252 | 1.439 | 29.309 | 69.972 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against QJs, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AQs is worth $139.94 on average (+$39.94); QJs is worth $60.06 (-$39.94).
Think in thousands: about 693 of 1,000 go to AQs, about 293 go to QJs, and about 14 are chopped.
The same matchup from the other side
The reversed view, QJs against AQs, shows 30.03% for QJs and 69.97% for AQs. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsQs against QhJh, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 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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