A7s
67.60%
Wins 66.40%, ties 2.41%
76s
32.40%
Wins 31.19%, ties 2.41%
A7s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 66.401 | 2.405 | 31.194 | 67.603 |
| 76s | 31.194 | 2.405 | 66.401 | 32.397 |
The matchup is suited hands on both sides, A7s against 76s. 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.
A7s is the clear favorite, though 76s gets there on roughly one board in 3. Ties are part of the picture: 2.41% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, A7s is number 24 and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 13,644,000 | 494,000 | 6,410,000 |
| 76s | 6,410,000 | 494,000 | 13,644,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 2.087 | 1.506 | 3.206 | 0.479 |
| 76s | 0.479 | 3.206 | 1.506 | 2.087 |
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. A7s does best on paired flops, at 72.72%, and worst on low rainbow flops (nine high or lower), at 49.13%. Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.
| Flop | Share of flops | A7s wins | Ties | 76s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 71.527 | 1.716 | 26.757 | 72.385 |
| Rainbow, nine or lower | 5.654 | 46.295 | 5.672 | 48.033 | 49.131 |
| Two-tone | 46.543 | 64.948 | 2.122 | 32.930 | 66.009 |
| Monotone | 5.215 | 59.477 | 4.443 | 36.080 | 61.698 |
| Paired | 17.334 | 71.473 | 2.493 | 26.034 | 72.719 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A7s from 60.98% by +6.62 points and 76s from 45.37% by -12.97 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 67.603 | 60.984 | +6.619 | 1.10854 |
| A7s, rainbow, ten or higher | 72.385 | 60.984 | +11.401 | 1.18695 |
| A7s, rainbow, nine or lower | 49.131 | 60.984 | -11.853 | 0.80564 |
| A7s, two-tone | 66.009 | 60.984 | +5.025 | 1.08240 |
| A7s, monotone | 61.698 | 60.984 | +0.714 | 1.01171 |
| A7s, paired | 72.719 | 60.984 | +11.735 | 1.19243 |
| 76s, all flops | 32.397 | 45.372 | -12.975 | 0.71403 |
| 76s, rainbow, ten or higher | 27.615 | 45.372 | -17.757 | 0.60864 |
| 76s, rainbow, nine or lower | 50.869 | 45.372 | +5.497 | 1.12115 |
| 76s, two-tone | 33.991 | 45.372 | -11.381 | 0.74916 |
| 76s, monotone | 38.302 | 45.372 | -7.070 | 0.84418 |
| 76s, paired | 27.281 | 45.372 | -18.091 | 0.60127 |
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 | 76s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.401 | 2.405 | 31.194 | 67.603 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
With $100 from each side, the $200 pot is split on average as $135.20 for A7s and $64.80 for 76s; the first side gains $35.20 per all-in and the second gives up $35.20.
Over a long run, 1,000 deals split into about 664 for A7s, 312 for 76s and 24 tied.
The same matchup from the other side
The mirror image, 76s against A7s, is 32.40% to 67.60%, and its address redirects to this page.
Keep exploring
Try As7s against 7h6h 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 12 ways to deal one A7s and one 76s 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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