AQs
63.03%
Wins 62.74%, ties 0.58%
43s
36.97%
Wins 36.68%, ties 0.58%
AQs against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 62.737 | 0.580 | 36.683 | 63.027 |
| 43s | 36.683 | 0.580 | 62.737 | 36.973 |
Here suited hands face each other, AQs on one side and 43s on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 26.06 point lead is real, and 43s still takes about 367 of every 1,000 deals outright. Split pots make up 0.58% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, AQs is number 10 and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 17,188,000 | 159,000 | 10,050,000 |
| 43s | 10,050,000 | 159,000 | 17,188,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| AQs | 1.705 | 1.594 | 2.726 | 0.587 |
| 43s | 0.587 | 2.726 | 1.594 | 1.705 |
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
If you know the kind of flop that came, the numbers shift: AQs holds 69.48% on rainbow flops topped by a ten or better and 38.30% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 43s holds the better equity.
| Flop | Share of flops | AQs wins | Ties | 43s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.390 | 0.182 | 30.428 | 69.481 |
| Rainbow, nine or lower | 6.314 | 37.739 | 1.126 | 61.135 | 38.302 |
| Two-tone | 46.727 | 62.002 | 0.335 | 37.663 | 62.169 |
| Monotone | 5.273 | 58.233 | 3.661 | 38.106 | 60.064 |
| Paired | 17.091 | 65.798 | 0.669 | 33.533 | 66.132 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give AQs 66.21% and 43s 38.64%. Against each other the change is -3.18 points for AQs and -1.67 for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 63.027 | 66.209 | -3.182 | 0.95194 |
| AQs, rainbow, ten or higher | 69.481 | 66.209 | +3.272 | 1.04942 |
| AQs, rainbow, nine or lower | 38.302 | 66.209 | -27.907 | 0.57850 |
| AQs, two-tone | 62.169 | 66.209 | -4.040 | 0.93898 |
| AQs, monotone | 60.064 | 66.209 | -6.145 | 0.90719 |
| AQs, paired | 66.132 | 66.209 | -0.077 | 0.99884 |
| 43s, all flops | 36.973 | 38.642 | -1.669 | 0.95681 |
| 43s, rainbow, ten or higher | 30.519 | 38.642 | -8.123 | 0.78979 |
| 43s, rainbow, nine or lower | 61.698 | 38.642 | +23.056 | 1.59666 |
| 43s, two-tone | 37.831 | 38.642 | -0.811 | 0.97901 |
| 43s, monotone | 39.936 | 38.642 | +1.294 | 1.03349 |
| 43s, paired | 33.868 | 38.642 | -4.774 | 0.87646 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (AQs at 65.36%) and 12 do not (62.25%). AQs does better with a shared suit, by 3.11 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 43s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.032 | 0.656 | 34.312 | 65.360 |
| No shared suit | 12 | 75.00 | 61.972 | 0.555 | 37.473 | 62.249 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Put $100 each into a $200 pot and deal every board once: AQs averages $126.06 back, ahead of its $100 by $26.06, while 43s averages $73.94, short of its $100 by $26.06.
Scaled to 1,000 deals, that is roughly 627 wins for AQs, 367 for 43s and 6 chopped pots.
The same matchup from the other side
Swap the hands and you get 43s with 36.97% against AQs with 63.03%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
AsQs against 4h3h 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
Nothing here is simulated. The 16 deals of AQs against 43s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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