A4s
58.65%
Wins 58.41%, ties 0.48%
QJo
41.35%
Wins 41.11%, ties 0.48%
A4s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 58.408 | 0.483 | 41.109 | 58.649 |
| QJo | 41.109 | 0.483 | 58.408 | 41.351 |
We compare a suited hand with an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 17.30 point lead is real, and QJo still takes about 411 of every 1,000 deals outright. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.
A4s ranks number 35 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 |
|---|---|---|---|
| A4s | 48,006,000 | 397,000 | 33,788,000 |
| QJo | 33,788,000 | 397,000 | 48,006,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| A4s | 1.418 | 1.712 | 2.433 | 0.705 |
| QJo | 0.705 | 2.433 | 1.712 | 1.418 |
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
Across the five flop textures A4s' equity moves by 25.14 points, from 50.87% on rainbow flops topped by a ten or better to 76.01% on low rainbow flops (nine high or lower). A4s 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 | A4s wins | Ties | QJo wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.812 | 0.119 | 49.069 | 50.872 |
| Rainbow, nine or lower | 7.042 | 75.472 | 1.074 | 23.454 | 76.009 |
| Two-tone | 46.667 | 58.130 | 0.311 | 41.559 | 58.285 |
| Monotone | 5.212 | 54.407 | 2.402 | 43.191 | 55.608 |
| Paired | 17.091 | 64.014 | 0.637 | 35.349 | 64.332 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -0.38 points for A4s, from 59.03%, and -16.79 for QJo, from 58.14%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 58.649 | 59.034 | -0.385 | 0.99348 |
| A4s, rainbow, ten or higher | 50.872 | 59.034 | -8.162 | 0.86174 |
| A4s, rainbow, nine or lower | 76.009 | 59.034 | +16.975 | 1.28755 |
| A4s, two-tone | 58.285 | 59.034 | -0.749 | 0.98731 |
| A4s, monotone | 55.608 | 59.034 | -3.426 | 0.94197 |
| A4s, paired | 64.332 | 59.034 | +5.298 | 1.08974 |
| QJo, all flops | 41.351 | 58.135 | -16.784 | 0.71129 |
| QJo, rainbow, ten or higher | 49.128 | 58.135 | -9.007 | 0.84507 |
| QJo, rainbow, nine or lower | 23.991 | 58.135 | -34.144 | 0.41268 |
| QJo, two-tone | 41.715 | 58.135 | -16.420 | 0.71755 |
| QJo, monotone | 44.392 | 58.135 | -13.743 | 0.76360 |
| QJo, paired | 35.668 | 58.135 | -22.467 | 0.61354 |
Does a shared suit matter?
The suit split reads 58.30% for A4s with a shared suit and 59.00% without one. A4s does better with no shared suit, by 0.70 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | QJo wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.040 | 0.525 | 41.435 | 58.302 |
| No shared suit | 24 | 50.00 | 58.775 | 0.442 | 40.783 | 58.996 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A4s gets $117.30 of it on average and QJo gets $82.70.
Out of 1,000 deals you should see around 584 outright wins for A4s, 411 for QJo, and 5 split pots.
The same matchup from the other side
The reversed view, QJo against A4s, shows 41.35% for QJo and 58.65% for A4s. It is the same count, so it redirects here.
Keep exploring
Try As4s against QhJd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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