AQo
60.52%
Wins 60.25%, ties 0.54%
43s
39.48%
Wins 39.21%, ties 0.54%
AQo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 60.254 | 0.537 | 39.209 | 60.522 |
| 43s | 39.209 | 0.537 | 60.254 | 39.478 |
AQo, an offsuit hand, plays 43s, a suited 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. 0.54% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, AQo sits at number 14 of 169 starting hands and 43s at number 150 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,523,000 | 441,000 | 32,226,000 |
| 43s | 32,226,000 | 441,000 | 49,523,000 |
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) |
|---|---|---|---|---|
| AQo | 1.533 | 1.660 | 2.550 | 0.652 |
| 43s | 0.652 | 2.550 | 1.660 | 1.533 |
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 AQo's equity moves by 32.28 points, from 35.87% on low rainbow flops (nine high or lower) to 68.15% on rainbow flops topped by a ten or better. 43s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | AQo wins | Ties | 43s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.060 | 0.188 | 31.752 | 68.154 |
| Rainbow, nine or lower | 6.313 | 35.283 | 1.172 | 63.545 | 35.869 |
| Two-tone | 46.667 | 58.571 | 0.360 | 41.069 | 58.751 |
| Monotone | 5.212 | 57.334 | 2.567 | 40.099 | 58.617 |
| Paired | 17.091 | 63.675 | 0.669 | 35.656 | 64.010 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -3.91 points for AQo, from 64.43%, and +0.84 for 43s, from 38.64%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 60.522 | 64.432 | -3.910 | 0.93932 |
| AQo, rainbow, ten or higher | 68.154 | 64.432 | +3.722 | 1.05777 |
| AQo, rainbow, nine or lower | 35.869 | 64.432 | -28.563 | 0.55670 |
| AQo, two-tone | 58.751 | 64.432 | -5.681 | 0.91183 |
| AQo, monotone | 58.617 | 64.432 | -5.815 | 0.90975 |
| AQo, paired | 64.010 | 64.432 | -0.422 | 0.99345 |
| 43s, all flops | 39.478 | 38.642 | +0.836 | 1.02163 |
| 43s, rainbow, ten or higher | 31.846 | 38.642 | -6.796 | 0.82413 |
| 43s, rainbow, nine or lower | 64.131 | 38.642 | +25.489 | 1.65962 |
| 43s, two-tone | 41.249 | 38.642 | +2.607 | 1.06747 |
| 43s, monotone | 41.383 | 38.642 | +2.741 | 1.07093 |
| 43s, paired | 35.990 | 38.642 | -2.652 | 0.93137 |
Does a shared suit matter?
Split by suits, the deals give AQo 61.22% when the hands overlap in a suit and 59.83% when they do not. AQo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 43s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.933 | 0.572 | 38.495 | 61.219 |
| No shared suit | 24 | 50.00 | 59.574 | 0.501 | 39.925 | 59.825 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. AQo is worth $121.04 on average (+$21.04); 43s is worth $78.96 (-$21.04).
Per 1,000 deals: AQo wins about 603, 43s wins about 392, and about 5 end in a split pot.
The same matchup from the other side
43s against AQo adds nothing new: it is 39.48% for 43s and 60.52% for AQo, the same figures reversed.
Keep exploring
AsQh against 4d3d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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