A7s
60.91%
Wins 48.26%, ties 25.32%
A2s
39.09%
Wins 26.42%, ties 25.32%
A7s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 48.255 | 25.319 | 26.426 | 60.914 |
| A2s | 26.426 | 25.319 | 48.255 | 39.086 |
The matchup is suited hands on both sides, A7s against A2s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 25.32% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A7s at 24 and A2s at 46 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 9,915,000 | 5,202,000 | 5,430,000 |
| A2s | 5,430,000 | 5,202,000 | 9,915,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| A7s | 1.558 | 2.072 | 3.784 | 0.642 |
| A2s | 0.642 | 3.784 | 2.072 | 1.558 |
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
If you know the kind of flop that came, the numbers shift: A7s holds 64.65% on low rainbow flops (nine high or lower) and 56.65% on paired flops. A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | A2s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 49.045 | 27.222 | 23.733 | 62.656 |
| Rainbow, nine or lower | 6.383 | 59.791 | 9.722 | 30.487 | 64.652 |
| Two-tone | 46.543 | 50.940 | 20.864 | 28.196 | 61.372 |
| Monotone | 5.215 | 49.330 | 17.798 | 32.872 | 58.229 |
| Paired | 17.333 | 35.355 | 42.593 | 22.052 | 56.651 |
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
Start from the random-hand figures, 60.98% for A7s and 57.38% for A2s. This opponent changes them by -0.07 and -18.29 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 60.914 | 60.984 | -0.070 | 0.99885 |
| A7s, rainbow, ten or higher | 62.656 | 60.984 | +1.672 | 1.02742 |
| A7s, rainbow, nine or lower | 64.652 | 60.984 | +3.668 | 1.06015 |
| A7s, two-tone | 61.372 | 60.984 | +0.388 | 1.00636 |
| A7s, monotone | 58.229 | 60.984 | -2.755 | 0.95482 |
| A7s, paired | 56.651 | 60.984 | -4.333 | 0.92895 |
| A2s, all flops | 39.086 | 57.379 | -18.293 | 0.68119 |
| A2s, rainbow, ten or higher | 37.344 | 57.379 | -20.035 | 0.65083 |
| A2s, rainbow, nine or lower | 35.348 | 57.379 | -22.031 | 0.61604 |
| A2s, two-tone | 38.628 | 57.379 | -18.751 | 0.67321 |
| A2s, monotone | 41.771 | 57.379 | -15.608 | 0.72798 |
| A2s, paired | 43.349 | 57.379 | -14.030 | 0.75549 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | A7s wins | Ties | A2s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 48.255 | 25.319 | 26.426 | 60.914 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are A7s against A2s, and 24 (0.0015%) 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, A7s' average share is $121.82 (a gain of $21.82) and A2s' is $78.18 (a loss of $21.82).
In 1,000 deals of exactly this matchup, expect about 483 won outright by A7s, about 264 won outright by A2s and about 253 split.
The same matchup from the other side
The mirror image, A2s against A7s, is 39.09% to 60.91%, and its address redirects to this page.
Keep exploring
The calculator link fills in As7s against Ah2h, 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
This is an exact count with no sampling. For the 12 ways to deal one A7s and one A2s 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.
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