A6s
56.96%
Wins 41.09%, ties 31.74%
A4s
43.04%
Wins 27.17%, ties 31.74%
A6s against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 41.092 | 31.739 | 27.169 | 56.961 |
| A4s | 27.169 | 31.739 | 41.092 | 43.039 |
Each side holds one of the suited hands: A6s and A4s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 31.74% of the outcomes here; each tied board gives both hands half the pot.
A6s ranks number 31 of 169 starting hands, and A4s ranks number 35, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 8,443,000 | 6,522,000 | 5,583,000 |
| A4s | 5,583,000 | 6,522,000 | 8,443,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A6s | 1.323 | 2.434 | 3.681 | 0.756 |
| A4s | 0.756 | 3.681 | 2.434 | 1.323 |
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
Split by what the flop looks like, A6s peaks at 60.18% on low rainbow flops (nine high or lower) and bottoms out at 53.50% on paired flops. A6s stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | A4s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 40.201 | 35.629 | 24.170 | 58.016 |
| Rainbow, nine or lower | 6.383 | 53.150 | 14.068 | 32.782 | 60.184 |
| Two-tone | 46.543 | 43.742 | 27.344 | 28.914 | 57.414 |
| Monotone | 5.215 | 44.414 | 22.188 | 33.398 | 55.508 |
| Paired | 17.333 | 29.794 | 47.419 | 22.787 | 53.503 |
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
Relative to a random opponent, A6s changes by -2.95 points (baseline 59.91%) and A4s by -15.99 points (baseline 59.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 56.961 | 59.906 | -2.945 | 0.95084 |
| A6s, rainbow, ten or higher | 58.016 | 59.906 | -1.890 | 0.96845 |
| A6s, rainbow, nine or lower | 60.184 | 59.906 | +0.278 | 1.00464 |
| A6s, two-tone | 57.414 | 59.906 | -2.492 | 0.95840 |
| A6s, monotone | 55.508 | 59.906 | -4.398 | 0.92658 |
| A6s, paired | 53.503 | 59.906 | -6.403 | 0.89312 |
| A4s, all flops | 43.039 | 59.034 | -15.995 | 0.72905 |
| A4s, rainbow, ten or higher | 41.984 | 59.034 | -17.050 | 0.71118 |
| A4s, rainbow, nine or lower | 39.816 | 59.034 | -19.218 | 0.67446 |
| A4s, two-tone | 42.586 | 59.034 | -16.448 | 0.72138 |
| A4s, monotone | 44.492 | 59.034 | -14.542 | 0.75367 |
| A4s, paired | 46.497 | 59.034 | -12.537 | 0.78763 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | A6s wins | Ties | A4s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 41.092 | 31.739 | 27.169 | 56.961 |
How often this matchup comes up
Counting specific cards, A6s against A4s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: A6s averages $113.92 back, ahead of its $100 by $13.92, while A4s averages $86.08, short of its $100 by $13.92.
In 1,000 deals of exactly this matchup, expect about 411 won outright by A6s, about 272 won outright by A4s and about 317 split.
The same matchup from the other side
The reversed view, A4s against A6s, shows 43.04% for A4s and 56.96% for A6s. It is the same count, so it redirects here.
Keep exploring
Open the calculator with As6s against Ah4h 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 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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