AJs
63.11%
Wins 62.82%, ties 0.57%
43s
36.89%
Wins 36.61%, ties 0.57%
AJs against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.824 | 0.570 | 36.606 | 63.109 |
| 43s | 36.606 | 0.570 | 62.824 | 36.891 |
Here suited hands face each other, AJs 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 26.22 point lead is real, and 43s still takes about 366 of every 1,000 deals outright. About 0.57% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, AJs sits at number 11 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 |
|---|---|---|---|
| AJs | 17,212,000 | 156,000 | 10,029,000 |
| 43s | 10,029,000 | 156,000 | 17,212,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| AJs | 1.711 | 1.592 | 2.732 | 0.585 |
| 43s | 0.585 | 2.732 | 1.592 | 1.711 |
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
Split by what the flop looks like, AJs peaks at 69.56% on rainbow flops topped by a ten or better and bottoms out at 38.55% on low rainbow flops (nine high or lower). The overall edge for AJs hides low rainbow flops (nine high or lower), where 43s comes out in front.
| Flop | Share of flops | AJs wins | Ties | 43s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.460 | 0.189 | 30.351 | 69.555 |
| Rainbow, nine or lower | 6.314 | 38.042 | 1.021 | 60.937 | 38.552 |
| Two-tone | 46.727 | 62.103 | 0.323 | 37.574 | 62.264 |
| Monotone | 5.273 | 58.305 | 3.656 | 38.039 | 60.133 |
| Paired | 17.091 | 65.793 | 0.674 | 33.533 | 66.130 |
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
Each hand has a baseline against a random hand: 65.39% for AJs, 38.64% for 43s. Here the change is -2.28 and -1.75 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 63.109 | 65.393 | -2.284 | 0.96507 |
| AJs, rainbow, ten or higher | 69.555 | 65.393 | +4.162 | 1.06365 |
| AJs, rainbow, nine or lower | 38.552 | 65.393 | -26.841 | 0.58954 |
| AJs, two-tone | 62.264 | 65.393 | -3.129 | 0.95215 |
| AJs, monotone | 60.133 | 65.393 | -5.260 | 0.91956 |
| AJs, paired | 66.130 | 65.393 | +0.737 | 1.01127 |
| 43s, all flops | 36.891 | 38.642 | -1.751 | 0.95469 |
| 43s, rainbow, ten or higher | 30.445 | 38.642 | -8.197 | 0.78787 |
| 43s, rainbow, nine or lower | 61.448 | 38.642 | +22.806 | 1.59019 |
| 43s, two-tone | 37.736 | 38.642 | -0.906 | 0.97655 |
| 43s, monotone | 39.867 | 38.642 | +1.225 | 1.03170 |
| 43s, paired | 33.870 | 38.642 | -4.772 | 0.87651 |
Does a shared suit matter?
The suit split reads 65.45% for AJs with a shared suit and 62.33% without one. AJs does better with a shared suit, by 3.12 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 43s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.127 | 0.645 | 34.228 | 65.450 |
| No shared suit | 12 | 75.00 | 62.056 | 0.545 | 37.399 | 62.328 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are AJs against 43s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AJs averages $126.22 from the $200, up $26.22; 43s averages $73.78, down $26.22.
Out of 1,000 deals you should see around 628 outright wins for AJs, 366 for 43s, and 6 split pots.
The same matchup from the other side
The mirror image, 43s against AJs, is 36.89% to 63.11%, and its address redirects to this page.
Keep exploring
Open the calculator with AsJs against 4h3h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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