A4s
53.02%
Wins 31.21%, ties 43.62%
A2s
46.98%
Wins 25.17%, ties 43.62%
A4s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 31.209 | 43.623 | 25.168 | 53.020 |
| A2s | 25.168 | 43.623 | 31.209 | 46.980 |
Here suited hands face each other, A4s on one side and A2s on the other. 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.
With only 6.04 points between them, the board decides this matchup far more than the cards in hand. Ties are 43.62% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, A4s holds place 35 of 169 and A2s holds place 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 6,413,000 | 8,964,000 | 5,171,000 |
| A2s | 5,171,000 | 8,964,000 | 6,413,000 |
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) |
|---|---|---|---|---|
| A4s | 1.129 | 3.204 | 3.973 | 0.886 |
| A2s | 0.886 | 3.973 | 3.204 | 1.129 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. A4s does best on low rainbow flops (nine high or lower), at 56.89%, and worst on paired flops, at 51.38%. A4s stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | A2s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 28.046 | 49.461 | 22.493 | 52.777 |
| Rainbow, nine or lower | 6.383 | 41.744 | 30.291 | 27.965 | 56.890 |
| Two-tone | 46.543 | 33.466 | 39.609 | 26.925 | 53.271 |
| Monotone | 5.215 | 37.369 | 30.581 | 32.050 | 52.660 |
| Paired | 17.333 | 23.887 | 54.976 | 21.137 | 51.375 |
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
Against one random hand instead, A4s holds 59.03% and A2s holds 57.38%. Facing each other changes that by -6.01 points for A4s and -10.40 points for A2s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 53.020 | 59.034 | -6.014 | 0.89813 |
| A4s, rainbow, ten or higher | 52.777 | 59.034 | -6.257 | 0.89401 |
| A4s, rainbow, nine or lower | 56.890 | 59.034 | -2.144 | 0.96368 |
| A4s, two-tone | 53.271 | 59.034 | -5.763 | 0.90238 |
| A4s, monotone | 52.660 | 59.034 | -6.374 | 0.89203 |
| A4s, paired | 51.375 | 59.034 | -7.659 | 0.87026 |
| A2s, all flops | 46.980 | 57.379 | -10.399 | 0.81877 |
| A2s, rainbow, ten or higher | 47.223 | 57.379 | -10.156 | 0.82300 |
| A2s, rainbow, nine or lower | 43.110 | 57.379 | -14.269 | 0.75132 |
| A2s, two-tone | 46.729 | 57.379 | -10.650 | 0.81439 |
| A2s, monotone | 47.340 | 57.379 | -10.039 | 0.82504 |
| A2s, paired | 48.625 | 57.379 | -8.754 | 0.84744 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | A4s wins | Ties | A2s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 31.209 | 43.623 | 25.168 | 53.020 |
How often this matchup comes up
A4s against A2s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A4s' average share is $106.04 (a gain of $6.04) and A2s' is $93.96 (a loss of $6.04).
A thousand deals look like this: A4s takes 312, A2s takes 252, 436 are ties.
The same matchup from the other side
One page covers both views. From A2s' side the equity is 46.98%, and from A4s' side it is 53.02%.
Keep exploring
The calculator link fills in As4s against Ah2h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
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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