A6s
57.13%
Wins 41.22%, ties 31.81%
A3s
42.87%
Wins 26.97%, ties 31.81%
A6s against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 41.221 | 31.814 | 26.965 | 57.128 |
| A3s | 26.965 | 31.814 | 41.221 | 42.872 |
Two suited hands meet here: A6s against A3s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A6s is ahead, but A3s is far from dead: it takes 270 of every 1,000 deals outright. About 31.81% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 31 of 169 belongs to A6s and place 38 belongs to A3s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 8,470,000 | 6,537,000 | 5,541,000 |
| A3s | 5,541,000 | 6,537,000 | 8,470,000 |
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 | 1.333 | 2.426 | 3.709 | 0.750 |
| A3s | 0.750 | 3.709 | 2.426 | 1.333 |
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
By flop texture, A6s' equity runs from 53.70% on paired flops up to 60.87% on low rainbow flops (nine high or lower). A6s stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | A3s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 40.213 | 35.695 | 24.092 | 58.061 |
| Rainbow, nine or lower | 6.383 | 53.847 | 14.038 | 32.115 | 60.866 |
| Two-tone | 46.543 | 43.875 | 27.393 | 28.732 | 57.571 |
| Monotone | 5.215 | 44.507 | 22.242 | 33.251 | 55.628 |
| Paired | 17.333 | 29.886 | 47.620 | 22.494 | 53.696 |
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 -2.78 points (baseline 59.91%) and A3s by -15.35 points (baseline 58.22%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 57.128 | 59.906 | -2.778 | 0.95363 |
| A6s, rainbow, ten or higher | 58.061 | 59.906 | -1.845 | 0.96920 |
| A6s, rainbow, nine or lower | 60.866 | 59.906 | +0.960 | 1.01603 |
| A6s, two-tone | 57.571 | 59.906 | -2.335 | 0.96102 |
| A6s, monotone | 55.628 | 59.906 | -4.278 | 0.92859 |
| A6s, paired | 53.696 | 59.906 | -6.210 | 0.89634 |
| A3s, all flops | 42.872 | 58.220 | -15.348 | 0.73638 |
| A3s, rainbow, ten or higher | 41.939 | 58.220 | -16.281 | 0.72035 |
| A3s, rainbow, nine or lower | 39.134 | 58.220 | -19.086 | 0.67217 |
| A3s, two-tone | 42.429 | 58.220 | -15.791 | 0.72877 |
| A3s, monotone | 44.372 | 58.220 | -13.848 | 0.76214 |
| A3s, paired | 46.304 | 58.220 | -11.916 | 0.79533 |
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 | A6s wins | Ties | A3s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 41.221 | 31.814 | 26.965 | 57.128 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A6s' average share is $114.26 (a gain of $14.26) and A3s' is $85.74 (a loss of $14.26).
Over a long run, 1,000 deals split into about 412 for A6s, 270 for A3s and 318 tied.
The same matchup from the other side
The reversed view, A3s against A6s, shows 42.87% for A3s and 57.13% for A6s. It is the same count, so it redirects here.
Keep exploring
Open the calculator with As6s against Ah3h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of A6s against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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