ATs
67.57%
Wins 62.71%, ties 9.71%
A5s
32.43%
Wins 27.58%, ties 9.71%
ATs against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.708 | 9.713 | 27.579 | 67.565 |
| A5s | 27.579 | 9.713 | 62.708 | 32.435 |
ATs and A5s are both suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
ATs is the clear favorite, though A5s gets there on roughly one board in 3. 9.71% of boards are ties, so the equity of each hand is its win rate plus half of that.
ATs ranks number 13 of 169 starting hands, and A5s ranks number 30, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 12,885,000 | 1,996,000 | 5,667,000 |
| A5s | 5,667,000 | 1,996,000 | 12,885,000 |
Exact total: 12 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 | 2.083 | 1.595 | 3.626 | 0.480 |
| A5s | 0.480 | 3.626 | 1.595 | 2.083 |
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
The flop changes the picture. ATs does best on rainbow flops topped by a ten or better, at 74.05%, and worst on low rainbow flops (nine high or lower), at 55.96%. ATs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | ATs wins | Ties | A5s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 69.861 | 8.371 | 21.768 | 74.046 |
| Rainbow, nine or lower | 7.042 | 54.047 | 3.831 | 42.122 | 55.962 |
| Two-tone | 46.543 | 64.056 | 6.645 | 29.299 | 67.378 |
| Monotone | 5.215 | 58.581 | 7.773 | 33.646 | 62.467 |
| Paired | 17.333 | 54.001 | 22.774 | 23.225 | 65.388 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +2.97 points for ATs, from 64.60%, and -27.49 for A5s, from 59.92%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 67.565 | 64.602 | +2.963 | 1.04587 |
| ATs, rainbow, ten or higher | 74.046 | 64.602 | +9.444 | 1.14619 |
| ATs, rainbow, nine or lower | 55.962 | 64.602 | -8.640 | 0.86626 |
| ATs, two-tone | 67.378 | 64.602 | +2.776 | 1.04297 |
| ATs, monotone | 62.467 | 64.602 | -2.135 | 0.96695 |
| ATs, paired | 65.388 | 64.602 | +0.786 | 1.01217 |
| A5s, all flops | 32.435 | 59.923 | -27.488 | 0.54128 |
| A5s, rainbow, ten or higher | 25.954 | 59.923 | -33.969 | 0.43312 |
| A5s, rainbow, nine or lower | 44.038 | 59.923 | -15.885 | 0.73491 |
| A5s, two-tone | 32.622 | 59.923 | -27.301 | 0.54440 |
| A5s, monotone | 37.533 | 59.923 | -22.390 | 0.62635 |
| A5s, paired | 34.612 | 59.923 | -25.311 | 0.57761 |
Does a shared suit matter?
Every legal deal of ATs against A5s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A5s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 62.708 | 9.713 | 27.579 | 67.565 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. ATs averages $135.14 from the $200, up $35.14; A5s averages $64.86, down $35.14.
Per 1,000 deals: ATs wins about 627, A5s wins about 276, and about 97 end in a split pot.
The same matchup from the other side
A5s versus ATs is this same page seen from the other hand: 32.43% for A5s, 67.57% for ATs.
Keep exploring
AsTs against Ah5h 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
Nothing here is simulated. The 12 deals of ATs against A5s 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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