A3s
70.00%
Wins 69.11%, ties 1.78%
43s
30.00%
Wins 29.11%, ties 1.78%
A3s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 69.109 | 1.779 | 29.112 | 69.999 |
| 43s | 29.112 | 1.779 | 69.109 | 30.001 |
Each side holds one of the suited hands: A3s and 43s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 40.00 points is large but not decisive: 43s still takes about 291 of every 1,000 deals. About 1.78% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, A3s sits at number 38 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 |
|---|---|---|---|
| A3s | 14,200,000 | 366,000 | 5,982,000 |
| 43s | 5,982,000 | 366,000 | 14,200,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A3s | 2.333 | 1.447 | 3.435 | 0.429 |
| 43s | 0.429 | 3.435 | 1.447 | 2.333 |
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
A3s prefers rainbow flops topped by a ten or better, where it holds 74.38%, and likes low rainbow flops (nine high or lower) least, where it holds 56.30%. A3s 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 | A3s wins | Ties | 43s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 73.875 | 1.018 | 25.107 | 74.384 |
| Rainbow, nine or lower | 5.654 | 54.082 | 4.436 | 41.482 | 56.300 |
| Two-tone | 46.543 | 67.728 | 1.442 | 30.830 | 68.449 |
| Monotone | 5.215 | 61.158 | 4.228 | 34.614 | 63.272 |
| Paired | 17.334 | 73.169 | 2.189 | 24.642 | 74.263 |
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
A random hand would give A3s 58.22% and 43s 38.64%. Against each other the change is +11.78 points for A3s and -8.64 for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 69.999 | 58.220 | +11.779 | 1.20232 |
| A3s, rainbow, ten or higher | 74.384 | 58.220 | +16.164 | 1.27764 |
| A3s, rainbow, nine or lower | 56.300 | 58.220 | -1.920 | 0.96702 |
| A3s, two-tone | 68.449 | 58.220 | +10.229 | 1.17570 |
| A3s, monotone | 63.272 | 58.220 | +5.052 | 1.08677 |
| A3s, paired | 74.263 | 58.220 | +16.043 | 1.27556 |
| 43s, all flops | 30.001 | 38.642 | -8.641 | 0.77638 |
| 43s, rainbow, ten or higher | 25.616 | 38.642 | -13.026 | 0.66291 |
| 43s, rainbow, nine or lower | 43.700 | 38.642 | +5.058 | 1.13089 |
| 43s, two-tone | 31.551 | 38.642 | -7.091 | 0.81650 |
| 43s, monotone | 36.728 | 38.642 | -1.914 | 0.95047 |
| 43s, paired | 25.737 | 38.642 | -12.905 | 0.66604 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | A3s wins | Ties | 43s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.109 | 1.779 | 29.112 | 69.999 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: A3s averages $140.00 back, ahead of its $100 by $40.00, while 43s averages $60.00, short of its $100 by $40.00.
In 1,000 deals of exactly this matchup, expect about 691 won outright by A3s, about 291 won outright by 43s and about 18 split.
The same matchup from the other side
The mirror image, 43s against A3s, is 30.00% to 70.00%, and its address redirects to this page.
Keep exploring
Open the calculator with As3s 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
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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