A2s
55.98%
Wins 55.67%, ties 0.62%
54s
44.02%
Wins 43.71%, ties 0.62%
A2s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 55.672 | 0.618 | 43.710 | 55.981 |
| 54s | 43.710 | 0.618 | 55.672 | 44.019 |
A2s and 54s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.62% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, A2s holds place 46 of 169 and 54s holds place 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 15,252,000 | 169,000 | 11,975,000 |
| 54s | 11,975,000 | 169,000 | 15,252,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A2s | 1.272 | 1.796 | 2.288 | 0.786 |
| 54s | 0.786 | 2.288 | 1.796 | 1.272 |
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
The flop changes the picture. A2s does best on paired flops, at 62.55%, and worst on low rainbow flops (nine high or lower), at 33.77%. The lead reverses on low rainbow flops (nine high or lower): there 54s is the favorite even though A2s is ahead overall.
| Flop | Share of flops | A2s wins | Ties | 54s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 59.492 | 0.282 | 40.226 | 59.633 |
| Rainbow, nine or lower | 5.689 | 33.234 | 1.063 | 65.703 | 33.766 |
| Two-tone | 46.727 | 54.391 | 0.378 | 45.231 | 54.580 |
| Monotone | 5.273 | 51.818 | 3.593 | 44.589 | 53.615 |
| Paired | 17.091 | 62.196 | 0.702 | 37.102 | 62.547 |
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, A2s holds 57.38% and 54s holds 41.45%. Facing each other changes that by -1.40 points for A2s and +2.57 points for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 55.981 | 57.379 | -1.398 | 0.97564 |
| A2s, rainbow, ten or higher | 59.633 | 57.379 | +2.254 | 1.03928 |
| A2s, rainbow, nine or lower | 33.766 | 57.379 | -23.613 | 0.58847 |
| A2s, two-tone | 54.580 | 57.379 | -2.799 | 0.95122 |
| A2s, monotone | 53.615 | 57.379 | -3.764 | 0.93440 |
| A2s, paired | 62.547 | 57.379 | +5.168 | 1.09007 |
| 54s, all flops | 44.019 | 41.453 | +2.566 | 1.06190 |
| 54s, rainbow, ten or higher | 40.367 | 41.453 | -1.086 | 0.97380 |
| 54s, rainbow, nine or lower | 66.234 | 41.453 | +24.781 | 1.59781 |
| 54s, two-tone | 45.420 | 41.453 | +3.967 | 1.09570 |
| 54s, monotone | 46.385 | 41.453 | +4.932 | 1.11898 |
| 54s, paired | 37.453 | 41.453 | -4.000 | 0.90351 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A2s has 57.73% equity, and with none in common it has 55.40%. A2s does better with a shared suit, by 2.33 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 54s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.376 | 0.701 | 41.923 | 57.726 |
| No shared suit | 12 | 75.00 | 55.104 | 0.590 | 44.306 | 55.399 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $111.96 for A2s and $88.04 for 54s; the first side gains $11.96 per all-in and the second gives up $11.96.
Per 1,000 deals: A2s wins about 557, 54s wins about 437, and about 6 end in a split pot.
The same matchup from the other side
The mirror image, 54s against A2s, is 44.02% to 55.98%, and its address redirects to this page.
Keep exploring
Try As2s against 5h4h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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