ATs
63.15%
Wins 62.87%, ties 0.56%
53s
36.85%
Wins 36.57%, ties 0.56%
ATs against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.869 | 0.555 | 36.576 | 63.146 |
| 53s | 36.576 | 0.555 | 62.869 | 36.854 |
This is a contest between two suited hands, ATs and 53s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.56% of boards, so the wins and the equity differ by half of that.
For context, ATs sits at number 13 of 169 starting hands and 53s at number 146 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,224,000 | 152,000 | 10,021,000 |
| 53s | 10,021,000 | 152,000 | 17,224,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| ATs | 1.713 | 1.591 | 2.734 | 0.584 |
| 53s | 0.584 | 2.734 | 1.591 | 1.713 |
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
If you know the kind of flop that came, the numbers shift: ATs holds 69.52% on rainbow flops topped by a ten or better and 39.10% on low rainbow flops (nine high or lower). ATs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | ATs wins | Ties | 53s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.411 | 0.227 | 30.362 | 69.524 |
| Rainbow, nine or lower | 6.314 | 38.706 | 0.796 | 60.498 | 39.104 |
| Two-tone | 46.727 | 62.184 | 0.312 | 37.504 | 62.340 |
| Monotone | 5.273 | 58.361 | 3.560 | 38.079 | 60.141 |
| Paired | 17.091 | 65.644 | 0.674 | 33.682 | 65.981 |
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
A random hand would give ATs 64.60% and 53s 39.69%. Against each other the change is -1.45 points for ATs and -2.84 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 63.146 | 64.602 | -1.456 | 0.97746 |
| ATs, rainbow, ten or higher | 69.524 | 64.602 | +4.922 | 1.07619 |
| ATs, rainbow, nine or lower | 39.104 | 64.602 | -25.498 | 0.60531 |
| ATs, two-tone | 62.340 | 64.602 | -2.262 | 0.96499 |
| ATs, monotone | 60.141 | 64.602 | -4.461 | 0.93095 |
| ATs, paired | 65.981 | 64.602 | +1.379 | 1.02135 |
| 53s, all flops | 36.854 | 39.693 | -2.839 | 0.92848 |
| 53s, rainbow, ten or higher | 30.476 | 39.693 | -9.217 | 0.76779 |
| 53s, rainbow, nine or lower | 60.896 | 39.693 | +21.203 | 1.53417 |
| 53s, two-tone | 37.660 | 39.693 | -2.033 | 0.94878 |
| 53s, monotone | 39.859 | 39.693 | +0.166 | 1.00418 |
| 53s, paired | 34.019 | 39.693 | -5.674 | 0.85705 |
Does a shared suit matter?
When the hands share a suit, ATs holds 65.50%; when they do not, it holds 62.36%. ATs does better with a shared suit, by 3.14 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 53s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.178 | 0.634 | 34.188 | 65.495 |
| No shared suit | 12 | 75.00 | 62.099 | 0.528 | 37.373 | 62.363 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATs' average share is $126.30 (a gain of $26.30) and 53s' is $73.70 (a loss of $26.30).
Out of 1,000 deals you should see around 629 outright wins for ATs, 366 for 53s, and 5 split pots.
The same matchup from the other side
Read it from the other side: 53s against ATs is the same matchup with the numbers swapped, so 53s holds 36.85% and ATs holds 63.15%. That address sends you back to this page.
Keep exploring
Open the calculator with AsTs 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of ATs against 53s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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