ATo
60.65%
Wins 60.40%, ties 0.51%
53s
39.35%
Wins 39.09%, ties 0.51%
ATo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.398 | 0.509 | 39.093 | 60.652 |
| 53s | 39.093 | 0.509 | 60.398 | 39.348 |
Here an offsuit hand (ATo) meets a suited hand (53s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATo is ahead, but 53s is far from dead: it takes 391 of every 1,000 deals outright. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.
For context, ATo sits at number 19 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 |
|---|---|---|---|
| ATo | 49,641,000 | 418,000 | 32,131,000 |
| 53s | 32,131,000 | 418,000 | 49,641,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| ATo | 1.541 | 1.656 | 2.558 | 0.649 |
| 53s | 0.649 | 2.558 | 1.656 | 1.541 |
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
Break the boards down by their first three cards and ATo is strongest on rainbow flops topped by a ten or better (68.20%) and weakest on low rainbow flops (nine high or lower) (36.71%). The overall edge for ATo hides low rainbow flops (nine high or lower), where 53s comes out in front.
| Flop | Share of flops | ATo wins | Ties | 53s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.083 | 0.234 | 31.683 | 68.200 |
| Rainbow, nine or lower | 6.313 | 36.296 | 0.825 | 62.879 | 36.709 |
| Two-tone | 46.667 | 58.775 | 0.330 | 40.895 | 58.940 |
| Monotone | 5.212 | 57.469 | 2.486 | 40.045 | 58.712 |
| Paired | 17.091 | 63.511 | 0.674 | 35.815 | 63.848 |
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 ATo 62.72% and 53s 39.69%. Against each other the change is -2.07 points for ATo and -0.34 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.652 | 62.722 | -2.070 | 0.96700 |
| ATo, rainbow, ten or higher | 68.200 | 62.722 | +5.478 | 1.08734 |
| ATo, rainbow, nine or lower | 36.709 | 62.722 | -26.013 | 0.58527 |
| ATo, two-tone | 58.940 | 62.722 | -3.782 | 0.93970 |
| ATo, monotone | 58.712 | 62.722 | -4.010 | 0.93607 |
| ATo, paired | 63.848 | 62.722 | +1.126 | 1.01795 |
| 53s, all flops | 39.348 | 39.693 | -0.345 | 0.99131 |
| 53s, rainbow, ten or higher | 31.800 | 39.693 | -7.893 | 0.80115 |
| 53s, rainbow, nine or lower | 63.291 | 39.693 | +23.598 | 1.59451 |
| 53s, two-tone | 41.060 | 39.693 | +1.367 | 1.03444 |
| 53s, monotone | 41.288 | 39.693 | +1.595 | 1.04018 |
| 53s, paired | 36.152 | 39.693 | -3.541 | 0.91079 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common ATo has 61.35% equity, and with none in common it has 59.95%. ATo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 53s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.077 | 0.549 | 38.374 | 61.351 |
| No shared suit | 24 | 50.00 | 59.718 | 0.469 | 39.813 | 59.953 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are ATo in one seat and 53s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Take a $200 pot built from $100 each. ATo's equity of 60.65% is worth $121.30, a $21.30 edge, and 53s' 39.35% is worth $78.70, which is $21.30 under its stake.
Out of 1,000 deals you should see around 604 outright wins for ATo, 391 for 53s, and 5 split pots.
The same matchup from the other side
Read it from the other side: 53s against ATo is the same matchup with the numbers swapped, so 53s holds 39.35% and ATo holds 60.65%. That address sends you back to this page.
Keep exploring
The calculator link fills in AsTh against 5d3d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 48 deals of ATo 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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