AA
84.93%
Wins 84.74%, ties 0.38%
QJo
15.07%
Wins 14.88%, ties 0.38%
AA against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 84.738 | 0.383 | 14.879 | 84.929 |
| QJo | 14.879 | 0.383 | 84.738 | 15.071 |
AA and QJo are a pocket pair and an offsuit hand, in that order. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
This is one of the lopsided matchups: QJo wins only 14.88% of the boards outright. Ties are 0.38% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, AA is number 1 and QJo is number 39 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 104,470,000 | 472,000 | 18,344,000 |
| QJo | 18,344,000 | 472,000 | 104,470,000 |
The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AA | 5.635 | 1.180 | 6.721 | 0.177 |
| QJo | 0.177 | 6.721 | 1.180 | 5.635 |
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
AA prefers low rainbow flops (nine high or lower), where it holds 94.74%, and likes monotone flops least, where it holds 79.87%. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | QJo wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 81.633 | 0.111 | 18.256 | 81.689 |
| Rainbow, nine or lower | 7.771 | 94.134 | 1.212 | 4.654 | 94.740 |
| Two-tone | 46.485 | 84.221 | 0.370 | 15.409 | 84.406 |
| Monotone | 5.151 | 79.003 | 1.740 | 19.257 | 79.873 |
| Paired | 17.333 | 87.780 | 0.007 | 12.213 | 87.784 |
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
Relative to a random opponent, AA changes by -0.27 points (baseline 85.20%) and QJo by -43.07 points (baseline 58.14%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 84.929 | 85.204 | -0.275 | 0.99677 |
| AA, rainbow, ten or higher | 81.689 | 85.204 | -3.515 | 0.95875 |
| AA, rainbow, nine or lower | 94.740 | 85.204 | +9.536 | 1.11192 |
| AA, two-tone | 84.406 | 85.204 | -0.798 | 0.99063 |
| AA, monotone | 79.873 | 85.204 | -5.331 | 0.93743 |
| AA, paired | 87.784 | 85.204 | +2.580 | 1.03028 |
| QJo, all flops | 15.071 | 58.135 | -43.064 | 0.25924 |
| QJo, rainbow, ten or higher | 18.311 | 58.135 | -39.824 | 0.31497 |
| QJo, rainbow, nine or lower | 5.260 | 58.135 | -52.875 | 0.09048 |
| QJo, two-tone | 15.594 | 58.135 | -42.541 | 0.26824 |
| QJo, monotone | 20.127 | 58.135 | -38.008 | 0.34621 |
| QJo, paired | 12.216 | 58.135 | -45.919 | 0.21013 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and AA holds 85.08%. In 12 they do not, and it holds 84.19%. AA does better with a shared suit, by 0.89 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | QJo wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 84.877 | 0.399 | 14.724 | 85.076 |
| No shared suit | 12 | 16.67 | 84.041 | 0.303 | 15.656 | 84.193 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
Take a $200 pot built from $100 each. AA's equity of 84.93% is worth $169.86, a $69.86 edge, and QJo's 15.07% is worth $30.14, which is $69.86 under its stake.
A thousand deals look like this: AA takes 847, QJo takes 149, 4 are ties.
The same matchup from the other side
If you came looking for QJo against AA, the numbers are the same with the hands swapped: 15.07% and 84.93%.
Keep exploring
AsAh against QdJc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 72 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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