A8s
58.91%
Wins 58.69%, ties 0.44%
QJo
41.09%
Wins 40.87%, ties 0.44%
A8s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 58.691 | 0.442 | 40.867 | 58.912 |
| QJo | 40.867 | 0.442 | 58.691 | 41.088 |
A8s and QJo are a suited hand and an offsuit hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 17.82 point lead is real, and QJo still takes about 409 of every 1,000 deals outright. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, A8s holds place 21 of 169 and QJo holds place 39.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 48,238,000 | 363,000 | 33,589,000 |
| QJo | 33,589,000 | 363,000 | 48,238,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| A8s | 1.434 | 1.704 | 2.447 | 0.697 |
| QJo | 0.697 | 2.447 | 1.704 | 1.434 |
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
By flop texture, A8s' equity runs from 51.35% on rainbow flops topped by a ten or better up to 75.79% on low rainbow flops (nine high or lower). A8s 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 | A8s wins | Ties | QJo wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 51.286 | 0.118 | 48.596 | 51.345 |
| Rainbow, nine or lower | 7.042 | 75.352 | 0.865 | 23.783 | 75.785 |
| Two-tone | 46.667 | 58.393 | 0.265 | 41.342 | 58.525 |
| Monotone | 5.212 | 54.534 | 2.366 | 43.100 | 55.717 |
| Paired | 17.091 | 64.303 | 0.620 | 35.077 | 64.613 |
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
How much does the opponent matter? Compared with its random-hand 61.94%, A8s changes by -3.03 points, and QJo, from 58.14%, by -17.05.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 58.912 | 61.944 | -3.032 | 0.95105 |
| A8s, rainbow, ten or higher | 51.345 | 61.944 | -10.599 | 0.82889 |
| A8s, rainbow, nine or lower | 75.785 | 61.944 | +13.841 | 1.22344 |
| A8s, two-tone | 58.525 | 61.944 | -3.419 | 0.94480 |
| A8s, monotone | 55.717 | 61.944 | -6.227 | 0.89947 |
| A8s, paired | 64.613 | 61.944 | +2.669 | 1.04309 |
| QJo, all flops | 41.088 | 58.135 | -17.047 | 0.70677 |
| QJo, rainbow, ten or higher | 48.655 | 58.135 | -9.480 | 0.83693 |
| QJo, rainbow, nine or lower | 24.215 | 58.135 | -33.920 | 0.41653 |
| QJo, two-tone | 41.475 | 58.135 | -16.660 | 0.71343 |
| QJo, monotone | 44.283 | 58.135 | -13.852 | 0.76173 |
| QJo, paired | 35.387 | 58.135 | -22.748 | 0.60870 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A8s has 58.57% equity, and with none in common it has 59.25%. A8s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | QJo wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.329 | 0.483 | 41.188 | 58.570 |
| No shared suit | 24 | 50.00 | 59.054 | 0.401 | 40.545 | 59.254 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A8s in one seat and QJo in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A8s gets $117.82 of it on average and QJo gets $82.18.
In 1,000 deals of exactly this matchup, expect about 587 won outright by A8s, about 409 won outright by QJo and about 4 split.
The same matchup from the other side
The reversed view, QJo against A8s, shows 41.09% for QJo and 58.91% for A8s. It is the same count, so it redirects here.
Keep exploring
As8s against QhJd 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 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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