AQo
68.85%
Wins 68.12%, ties 1.46%
QJs
31.15%
Wins 30.42%, ties 1.46%
AQo against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 68.116 | 1.458 | 30.426 | 68.845 |
| QJs | 30.426 | 1.458 | 68.116 | 31.155 |
AQo, an offsuit hand, plays QJs, a suited hand. 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.
AQo is well ahead, and QJs needs a specific kind of board to catch up. A split pot comes up on 1.46% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, AQo is number 14 and QJs is number 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 41,989,000 | 899,000 | 18,755,000 |
| QJs | 18,755,000 | 899,000 | 41,989,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| AQo | 2.210 | 1.468 | 3.287 | 0.453 |
| QJs | 0.453 | 3.287 | 1.468 | 2.210 |
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
Low rainbow flops (nine high or lower) are the best for AQo (81.38%); monotone flops are the worst (64.38%). AQo 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 | AQo wins | Ties | QJs wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 65.964 | 1.250 | 32.786 | 66.589 |
| Rainbow, nine or lower | 7.771 | 80.723 | 1.313 | 17.964 | 81.379 |
| Two-tone | 46.527 | 66.304 | 1.183 | 32.513 | 66.896 |
| Monotone | 5.192 | 62.960 | 2.839 | 34.201 | 64.380 |
| Paired | 17.333 | 71.751 | 2.128 | 26.121 | 72.815 |
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 AQo 64.43% and QJs 60.26%. Against each other the change is +4.42 points for AQo and -29.11 for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 68.845 | 64.432 | +4.413 | 1.06849 |
| AQo, rainbow, ten or higher | 66.589 | 64.432 | +2.157 | 1.03348 |
| AQo, rainbow, nine or lower | 81.379 | 64.432 | +16.947 | 1.26302 |
| AQo, two-tone | 66.896 | 64.432 | +2.464 | 1.03824 |
| AQo, monotone | 64.380 | 64.432 | -0.052 | 0.99919 |
| AQo, paired | 72.815 | 64.432 | +8.383 | 1.13011 |
| QJs, all flops | 31.155 | 60.259 | -29.104 | 0.51702 |
| QJs, rainbow, ten or higher | 33.411 | 60.259 | -26.848 | 0.55446 |
| QJs, rainbow, nine or lower | 18.621 | 60.259 | -41.638 | 0.30902 |
| QJs, two-tone | 33.104 | 60.259 | -27.155 | 0.54936 |
| QJs, monotone | 35.620 | 60.259 | -24.639 | 0.59112 |
| QJs, paired | 27.185 | 60.259 | -33.074 | 0.45114 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AQo has 69.88%; looking only at deals where they do not, 68.33%. AQo does better with a shared suit, by 1.55 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | QJs wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.118 | 1.528 | 29.354 | 69.882 |
| No shared suit | 24 | 66.67 | 67.616 | 1.423 | 30.961 | 68.327 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQo gets $137.70 of it on average and QJs gets $62.30.
Run 1,000 deals and the tally comes out near 681 for AQo, 304 for QJs and 15 ties.
The same matchup from the other side
QJs versus AQo is this same page seen from the other hand: 31.15% for QJs, 68.85% for AQo.
Keep exploring
The calculator link fills in AsQh against QdJd, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of AQo against QJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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