ATs
49.09%
Wins 48.86%, ties 0.47%
55
50.91%
Wins 50.67%, ties 0.47%
ATs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 48.858 | 0.472 | 50.670 | 49.094 |
| 55 | 50.670 | 0.472 | 48.858 | 50.906 |
We compare a suited hand with a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 55 a little ahead. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, ATs holds place 13 of 169 and 55 holds place 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 20,078,000 | 194,000 | 20,823,000 |
| 55 | 20,823,000 | 194,000 | 20,078,000 |
Exact total: 24 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 | 0.964 | 2.047 | 1.974 | 1.037 |
| 55 | 1.037 | 1.974 | 2.047 | 0.964 |
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
55 prefers low rainbow flops (nine high or lower), where it holds 75.62%, and likes rainbow flops topped by a ten or better least, where it holds 45.38%. On rainbow flops topped by a ten or better and two-tone flops the numbers flip and ATs is the one ahead.
| Flop | Share of flops | ATs wins | Ties | 55 wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.502 | 0.235 | 45.263 | 54.620 |
| Rainbow, nine or lower | 6.314 | 24.029 | 0.694 | 75.277 | 24.376 |
| Two-tone | 46.545 | 50.453 | 0.306 | 49.241 | 50.606 |
| Monotone | 5.212 | 48.050 | 2.601 | 49.349 | 49.350 |
| Paired | 17.334 | 45.853 | 0.532 | 53.615 | 46.119 |
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, ATs holds 64.60% and 55 holds 60.33%. Facing each other changes that by -15.51 points for ATs and -9.42 points for 55.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 49.094 | 64.602 | -15.508 | 0.75995 |
| ATs, rainbow, ten or higher | 54.620 | 64.602 | -9.982 | 0.84548 |
| ATs, rainbow, nine or lower | 24.376 | 64.602 | -40.226 | 0.37733 |
| ATs, two-tone | 50.606 | 64.602 | -13.996 | 0.78335 |
| ATs, monotone | 49.350 | 64.602 | -15.252 | 0.76391 |
| ATs, paired | 46.119 | 64.602 | -18.483 | 0.71389 |
| 55, all flops | 50.906 | 60.325 | -9.419 | 0.84386 |
| 55, rainbow, ten or higher | 45.380 | 60.325 | -14.945 | 0.75226 |
| 55, rainbow, nine or lower | 75.624 | 60.325 | +15.299 | 1.25361 |
| 55, two-tone | 49.394 | 60.325 | -10.931 | 0.81880 |
| 55, monotone | 50.650 | 60.325 | -9.675 | 0.83962 |
| 55, paired | 53.881 | 60.325 | -6.444 | 0.89318 |
Does a shared suit matter?
Split by suits, the deals give 55 51.08% when the hands overlap in a suit and 50.73% when they do not. 55 does better with a shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 55 wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.665 | 0.513 | 50.822 | 48.921 |
| No shared suit | 12 | 50.00 | 49.052 | 0.430 | 50.518 | 49.267 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are ATs against 55, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 55 gets $101.82 of it on average and ATs gets $98.18.
A thousand deals look like this: 55 takes 507, ATs takes 488, 5 are ties.
The same matchup from the other side
55 against ATs adds nothing new: it is 50.91% for 55 and 49.09% for ATs, the same figures reversed.
Keep exploring
Try AsTs against 5h5d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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