A5s
55.43%
Wins 35.99%, ties 38.88%
A2s
44.57%
Wins 25.13%, ties 38.88%
A5s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 35.994 | 38.875 | 25.131 | 55.431 |
| A2s | 25.131 | 38.875 | 35.994 | 44.569 |
Each side holds one of the suited hands: A5s and A2s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A5s is ahead, but A2s is far from dead: it takes 251 of every 1,000 deals outright. The tie share is 38.88%: on those boards the pot is chopped and neither hand wins outright.
A5s ranks number 30 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 7,396,000 | 7,988,000 | 5,164,000 |
| A2s | 5,164,000 | 7,988,000 | 7,396,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A5s | 1.244 | 2.778 | 3.979 | 0.804 |
| A2s | 0.804 | 3.979 | 2.778 | 1.244 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Break the boards down by their first three cards and A5s is strongest on low rainbow flops (nine high or lower) (60.86%) and weakest on paired flops (52.72%). A5s stays ahead on all five textures.
| Flop | Share of flops | A5s wins | Ties | A2s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 33.439 | 44.068 | 22.493 | 55.473 |
| Rainbow, nine or lower | 6.383 | 49.442 | 22.836 | 27.722 | 60.860 |
| Two-tone | 46.543 | 38.469 | 34.649 | 26.882 | 55.794 |
| Monotone | 5.215 | 40.754 | 27.226 | 32.020 | 54.367 |
| Paired | 17.333 | 26.575 | 52.288 | 21.137 | 52.719 |
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
Relative to a random opponent, A5s changes by -4.49 points (baseline 59.92%) and A2s by -12.81 points (baseline 57.38%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 55.431 | 59.923 | -4.492 | 0.92504 |
| A5s, rainbow, ten or higher | 55.473 | 59.923 | -4.450 | 0.92574 |
| A5s, rainbow, nine or lower | 60.860 | 59.923 | +0.937 | 1.01564 |
| A5s, two-tone | 55.794 | 59.923 | -4.129 | 0.93109 |
| A5s, monotone | 54.367 | 59.923 | -5.556 | 0.90728 |
| A5s, paired | 52.719 | 59.923 | -7.204 | 0.87978 |
| A2s, all flops | 44.569 | 57.379 | -12.810 | 0.77675 |
| A2s, rainbow, ten or higher | 44.527 | 57.379 | -12.852 | 0.77602 |
| A2s, rainbow, nine or lower | 39.140 | 57.379 | -18.239 | 0.68213 |
| A2s, two-tone | 44.206 | 57.379 | -13.173 | 0.77042 |
| A2s, monotone | 45.633 | 57.379 | -11.746 | 0.79529 |
| A2s, paired | 47.281 | 57.379 | -10.098 | 0.82401 |
Does a shared suit matter?
Every legal deal of A5s against A2s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | A5s wins | Ties | A2s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 35.994 | 38.875 | 25.131 | 55.431 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A5s averages $110.86 from the $200, up $10.86; A2s averages $89.14, down $10.86.
In 1,000 deals of exactly this matchup, expect about 360 won outright by A5s, about 251 won outright by A2s and about 389 split.
The same matchup from the other side
If you came looking for A2s against A5s, the numbers are the same with the hands swapped: 44.57% and 55.43%.
Keep exploring
As5s against Ah2h 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
Each figure is a complete count over boards. Take the 12 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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