ATo
67.34%
Wins 62.26%, ties 10.16%
A7s
32.66%
Wins 27.58%, ties 10.16%
ATo against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 62.258 | 10.156 | 27.586 | 67.336 |
| A7s | 27.586 | 10.156 | 62.258 | 32.664 |
The first hand is an offsuit hand; the second is a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 34.68 points is large but not decisive: A7s still takes about 276 of every 1,000 deals. A split pot comes up on 10.16% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, ATo is number 19 and A7s is number 24.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 38,378,000 | 6,260,000 | 17,005,000 |
| A7s | 17,005,000 | 6,260,000 | 38,378,000 |
36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 2.061 | 1.606 | 3.625 | 0.485 |
| A7s | 0.485 | 3.625 | 1.606 | 2.061 |
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
Rainbow flops topped by a ten or better are the best for ATo (74.24%); low rainbow flops (nine high or lower) are the worst (57.74%). ATo 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 | ATo wins | Ties | A7s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 69.964 | 8.556 | 21.480 | 74.242 |
| Rainbow, nine or lower | 7.042 | 55.697 | 4.077 | 40.226 | 57.736 |
| Two-tone | 46.527 | 63.235 | 7.102 | 29.663 | 66.786 |
| Monotone | 5.192 | 59.220 | 7.501 | 33.279 | 62.971 |
| Paired | 17.334 | 52.585 | 23.824 | 23.591 | 64.497 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 62.72% for ATo and 60.98% for A7s. This opponent changes them by +4.62 and -28.32 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 67.336 | 62.722 | +4.614 | 1.07356 |
| ATo, rainbow, ten or higher | 74.242 | 62.722 | +11.520 | 1.18367 |
| ATo, rainbow, nine or lower | 57.736 | 62.722 | -4.986 | 0.92051 |
| ATo, two-tone | 66.786 | 62.722 | +4.064 | 1.06479 |
| ATo, monotone | 62.971 | 62.722 | +0.249 | 1.00397 |
| ATo, paired | 64.497 | 62.722 | +1.775 | 1.02830 |
| A7s, all flops | 32.664 | 60.984 | -28.320 | 0.53562 |
| A7s, rainbow, ten or higher | 25.758 | 60.984 | -35.226 | 0.42237 |
| A7s, rainbow, nine or lower | 42.264 | 60.984 | -18.720 | 0.69303 |
| A7s, two-tone | 33.214 | 60.984 | -27.770 | 0.54463 |
| A7s, monotone | 37.029 | 60.984 | -23.955 | 0.60719 |
| A7s, paired | 35.503 | 60.984 | -25.481 | 0.58217 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, ATo has 68.13%; looking only at deals where they do not, 66.94%. ATo does better with a shared suit, by 1.19 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | A7s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 62.990 | 10.285 | 26.725 | 68.132 |
| No shared suit | 24 | 66.67 | 61.892 | 10.092 | 28.016 | 66.938 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are ATo against A7s, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. ATo is worth $134.68 on average (+$34.68); A7s is worth $65.32 (-$34.68).
In 1,000 deals of exactly this matchup, expect about 623 won outright by ATo, about 276 won outright by A7s and about 101 split.
The same matchup from the other side
The reversed view, A7s against ATo, shows 32.66% for A7s and 67.34% for ATo. It is the same count, so it redirects here.
Keep exploring
Try AsTh against Ad7d 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
This is an exact count with no sampling. For the 36 ways to deal one ATo and one A7s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session