A2s
57.18%
Wins 56.87%, ties 0.63%
53s
42.82%
Wins 42.50%, ties 0.63%
A2s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 56.870 | 0.628 | 42.502 | 57.184 |
| 53s | 42.502 | 0.628 | 56.870 | 42.816 |
The matchup is suited hands on both sides, A2s against 53s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 14.36 point lead is real, and 53s still takes about 425 of every 1,000 deals outright. About 0.63% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, A2s holds place 46 of 169 and 53s holds place 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 15,581,000 | 172,000 | 11,644,000 |
| 53s | 11,644,000 | 172,000 | 15,581,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| A2s | 1.336 | 1.758 | 2.353 | 0.749 |
| 53s | 0.749 | 2.353 | 1.758 | 1.336 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, A2s' equity runs from 35.72% on low rainbow flops (nine high or lower) up to 63.58% on paired flops. Low rainbow flops (nine high or lower) favor 53s, the hand that is behind overall.
| Flop | Share of flops | A2s wins | Ties | 53s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 60.717 | 0.282 | 39.001 | 60.858 |
| Rainbow, nine or lower | 5.689 | 35.150 | 1.137 | 63.713 | 35.719 |
| Two-tone | 46.727 | 55.585 | 0.388 | 44.027 | 55.779 |
| Monotone | 5.273 | 52.704 | 3.606 | 43.690 | 54.507 |
| Paired | 17.091 | 63.223 | 0.706 | 36.071 | 63.576 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, A2s changes by -0.20 points (baseline 57.38%) and 53s by +3.13 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 57.184 | 57.379 | -0.195 | 0.99660 |
| A2s, rainbow, ten or higher | 60.858 | 57.379 | +3.479 | 1.06063 |
| A2s, rainbow, nine or lower | 35.719 | 57.379 | -21.660 | 0.62251 |
| A2s, two-tone | 55.779 | 57.379 | -1.600 | 0.97212 |
| A2s, monotone | 54.507 | 57.379 | -2.872 | 0.94995 |
| A2s, paired | 63.576 | 57.379 | +6.197 | 1.10800 |
| 53s, all flops | 42.816 | 39.693 | +3.123 | 1.07868 |
| 53s, rainbow, ten or higher | 39.142 | 39.693 | -0.551 | 0.98612 |
| 53s, rainbow, nine or lower | 64.281 | 39.693 | +24.588 | 1.61945 |
| 53s, two-tone | 44.221 | 39.693 | +4.528 | 1.11408 |
| 53s, monotone | 45.493 | 39.693 | +5.800 | 1.14612 |
| 53s, paired | 36.424 | 39.693 | -3.269 | 0.91764 |
Does a shared suit matter?
Split by suits, the deals give A2s 59.08% when the hands overlap in a suit and 56.55% when they do not. A2s does better with a shared suit, by 2.53 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 53s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.720 | 0.711 | 40.569 | 59.075 |
| No shared suit | 12 | 75.00 | 56.253 | 0.600 | 43.147 | 56.553 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A2s' average share is $114.36 (a gain of $14.36) and 53s' is $85.64 (a loss of $14.36).
A thousand deals look like this: A2s takes 569, 53s takes 425, 6 are ties.
The same matchup from the other side
53s versus A2s is this same page seen from the other hand: 42.82% for 53s, 57.18% for A2s.
Keep exploring
Open the calculator with As2s against 5h3h 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
Nothing here is simulated. The 16 deals of A2s against 53s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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