A6s
58.15%
Wins 57.93%, ties 0.44%
QJo
41.85%
Wins 41.63%, ties 0.44%
A6s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 57.933 | 0.439 | 41.628 | 58.153 |
| QJo | 41.628 | 0.439 | 57.933 | 41.847 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
A6s ranks number 31 of 169 starting hands, and QJo ranks number 39, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 47,615,000 | 361,000 | 34,214,000 |
| QJo | 34,214,000 | 361,000 | 47,615,000 |
48 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) |
|---|---|---|---|---|
| A6s | 1.390 | 1.726 | 2.402 | 0.720 |
| QJo | 0.720 | 2.402 | 1.726 | 1.390 |
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
Across the five flop textures A6s' equity moves by 25.07 points, from 50.28% on rainbow flops topped by a ten or better to 75.35% on low rainbow flops (nine high or lower). A6s 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 | A6s wins | Ties | QJo wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.237 | 0.090 | 49.673 | 50.282 |
| Rainbow, nine or lower | 7.042 | 74.889 | 0.931 | 24.180 | 75.354 |
| Two-tone | 46.667 | 57.608 | 0.260 | 42.132 | 57.738 |
| Monotone | 5.212 | 54.035 | 2.364 | 43.601 | 55.217 |
| Paired | 17.091 | 63.826 | 0.628 | 35.546 | 64.140 |
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
Start from the random-hand figures, 59.91% for A6s and 58.14% for QJo. This opponent changes them by -1.76 and -16.29 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 58.153 | 59.906 | -1.753 | 0.97074 |
| A6s, rainbow, ten or higher | 50.282 | 59.906 | -9.624 | 0.83935 |
| A6s, rainbow, nine or lower | 75.354 | 59.906 | +15.448 | 1.25787 |
| A6s, two-tone | 57.738 | 59.906 | -2.168 | 0.96381 |
| A6s, monotone | 55.217 | 59.906 | -4.689 | 0.92173 |
| A6s, paired | 64.140 | 59.906 | +4.234 | 1.07068 |
| QJo, all flops | 41.847 | 58.135 | -16.288 | 0.71982 |
| QJo, rainbow, ten or higher | 49.718 | 58.135 | -8.417 | 0.85522 |
| QJo, rainbow, nine or lower | 24.646 | 58.135 | -33.489 | 0.42394 |
| QJo, two-tone | 42.262 | 58.135 | -15.873 | 0.72696 |
| QJo, monotone | 44.783 | 58.135 | -13.352 | 0.77033 |
| QJo, paired | 35.860 | 58.135 | -22.275 | 0.61684 |
Does a shared suit matter?
Split by suits, the deals give A6s 57.79% when the hands overlap in a suit and 58.51% when they do not. A6s does better with no shared suit, by 0.72 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | QJo wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.552 | 0.480 | 41.968 | 57.792 |
| No shared suit | 24 | 50.00 | 58.314 | 0.398 | 41.288 | 58.513 |
How often this matchup comes up
A6s against QJo is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A6s gets $116.30 of it on average and QJo gets $83.70.
Per 1,000 deals: A6s wins about 579, QJo wins about 416, and about 5 end in a split pot.
The same matchup from the other side
QJo versus A6s is this same page seen from the other hand: 41.85% for QJo, 58.15% for A6s.
Keep exploring
The calculator link fills in As6s against QhJd, 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
Each figure is a complete count over boards. Take the 48 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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