ATs
62.79%
Wins 62.53%, ties 0.51%
64s
37.21%
Wins 36.96%, ties 0.51%
ATs against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.533 | 0.510 | 36.957 | 62.788 |
| 64s | 36.957 | 0.510 | 62.533 | 37.212 |
The matchup is suited hands on both sides, ATs against 64s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
ATs is ahead, but 64s is far from dead: it takes 370 of every 1,000 deals outright. 0.51% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, ATs is number 13 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,132,000 | 140,000 | 10,125,000 |
| 64s | 10,125,000 | 140,000 | 17,132,000 |
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) |
|---|---|---|---|---|
| ATs | 1.687 | 1.599 | 2.706 | 0.593 |
| 64s | 0.593 | 2.706 | 1.599 | 1.687 |
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
By flop texture, ATs' equity runs from 36.49% on low rainbow flops (nine high or lower) up to 69.73% on rainbow flops topped by a ten or better. ATs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | ATs wins | Ties | 64s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.627 | 0.197 | 30.176 | 69.726 |
| Rainbow, nine or lower | 6.314 | 36.169 | 0.650 | 63.181 | 36.494 |
| Two-tone | 46.727 | 61.910 | 0.265 | 37.825 | 62.043 |
| Monotone | 5.273 | 58.233 | 3.469 | 38.298 | 59.967 |
| Paired | 17.091 | 65.095 | 0.665 | 34.240 | 65.428 |
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
Relative to a random opponent, ATs changes by -1.81 points (baseline 64.60%) and 64s by -4.12 points (baseline 41.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 62.788 | 64.602 | -1.814 | 0.97192 |
| ATs, rainbow, ten or higher | 69.726 | 64.602 | +5.124 | 1.07932 |
| ATs, rainbow, nine or lower | 36.494 | 64.602 | -28.108 | 0.56491 |
| ATs, two-tone | 62.043 | 64.602 | -2.559 | 0.96039 |
| ATs, monotone | 59.967 | 64.602 | -4.635 | 0.92825 |
| ATs, paired | 65.428 | 64.602 | +0.826 | 1.01279 |
| 64s, all flops | 37.212 | 41.333 | -4.121 | 0.90030 |
| 64s, rainbow, ten or higher | 30.274 | 41.333 | -11.059 | 0.73244 |
| 64s, rainbow, nine or lower | 63.506 | 41.333 | +22.173 | 1.53645 |
| 64s, two-tone | 37.957 | 41.333 | -3.376 | 0.91832 |
| 64s, monotone | 40.033 | 41.333 | -1.300 | 0.96855 |
| 64s, paired | 34.572 | 41.333 | -6.761 | 0.83643 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and ATs holds 65.07%. In 12 they do not, and it holds 62.03%. ATs does better with a shared suit, by 3.04 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 64s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.777 | 0.589 | 34.634 | 65.072 |
| No shared suit | 12 | 75.00 | 61.785 | 0.484 | 37.731 | 62.027 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are ATs against 64s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATs' average share is $125.58 (a gain of $25.58) and 64s' is $74.42 (a loss of $25.58).
Over a long run, 1,000 deals split into about 625 for ATs, 370 for 64s and 5 tied.
The same matchup from the other side
The mirror image, 64s against ATs, is 37.21% to 62.79%, and its address redirects to this page.
Keep exploring
AsTs against 6h4h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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