A2s
33.95%
Wins 33.66%, ties 0.59%
44
66.05%
Wins 65.75%, ties 0.59%
A2s against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 33.658 | 0.590 | 65.752 | 33.953 |
| 44 | 65.752 | 0.590 | 33.658 | 66.047 |
A2s and 44 are a suited hand and a pocket pair, in that order. The pair is ahead of one card and behind the other, so the board decides how that plays out.
That is a clear edge, 66.05% to 33.95%, but A2s still wins often enough that one hand proves nothing. 0.59% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, A2s sits at number 46 of 169 starting hands and 44 at number 48 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 13,832,000 | 242,000 | 27,021,000 |
| 44 | 27,021,000 | 242,000 | 13,832,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| A2s | 0.514 | 2.971 | 1.521 | 1.945 |
| 44 | 1.945 | 1.521 | 2.971 | 0.514 |
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
44 prefers low rainbow flops (nine high or lower), where it holds 81.46%, and likes monotone flops least, where it holds 62.59%. 44 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 | A2s wins | Ties | 44 wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 33.770 | 0.291 | 65.939 | 33.915 |
| Rainbow, nine or lower | 5.689 | 17.976 | 1.128 | 80.896 | 18.540 |
| Two-tone | 46.545 | 34.191 | 0.403 | 65.406 | 34.392 |
| Monotone | 5.212 | 35.978 | 2.868 | 61.154 | 37.412 |
| Paired | 17.334 | 36.516 | 0.665 | 62.819 | 36.848 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -23.43 points for A2s, from 57.38%, and +9.03 for 44, from 57.02%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 33.953 | 57.379 | -23.426 | 0.59173 |
| A2s, rainbow, ten or higher | 33.915 | 57.379 | -23.464 | 0.59107 |
| A2s, rainbow, nine or lower | 18.540 | 57.379 | -38.839 | 0.32311 |
| A2s, two-tone | 34.392 | 57.379 | -22.987 | 0.59938 |
| A2s, monotone | 37.412 | 57.379 | -19.967 | 0.65202 |
| A2s, paired | 36.848 | 57.379 | -20.531 | 0.64219 |
| 44, all flops | 66.047 | 57.023 | +9.024 | 1.15825 |
| 44, rainbow, ten or higher | 66.085 | 57.023 | +9.062 | 1.15892 |
| 44, rainbow, nine or lower | 81.460 | 57.023 | +24.437 | 1.42855 |
| 44, two-tone | 65.608 | 57.023 | +8.585 | 1.15055 |
| 44, monotone | 62.588 | 57.023 | +5.565 | 1.09759 |
| 44, paired | 63.152 | 57.023 | +6.129 | 1.10748 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 44 holds 66.33%. In 12 they do not, and it holds 65.76%. 44 does better with a shared suit, by 0.57 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 44 wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 33.354 | 0.627 | 66.019 | 33.668 |
| No shared suit | 12 | 50.00 | 33.962 | 0.553 | 65.485 | 34.238 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $132.10 for 44 and $67.90 for A2s; the first side gains $32.10 per all-in and the second gives up $32.10.
Per 1,000 deals: 44 wins about 657, A2s wins about 337, and about 6 end in a split pot.
The same matchup from the other side
If you came looking for 44 against A2s, the numbers are the same with the hands swapped: 66.05% and 33.95%.
Keep exploring
As2s against 4h4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 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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