A2s
53.86%
Wins 53.60%, ties 0.53%
76s
46.14%
Wins 45.87%, ties 0.53%
A2s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 53.595 | 0.531 | 45.874 | 53.861 |
| 76s | 45.874 | 0.531 | 53.595 | 46.139 |
Both hands are suited hands: A2s and 76s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
With only 7.72 points between them, the board decides this matchup far more than the cards in hand. About 0.53% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 46 of 169 belongs to A2s and place 115 belongs to 76s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 14,683,000 | 145,000 | 12,568,000 |
| 76s | 12,568,000 | 145,000 | 14,683,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A2s | 1.167 | 1.866 | 2.180 | 0.857 |
| 76s | 0.857 | 2.180 | 1.866 | 1.167 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, A2s' equity runs from 29.08% on low rainbow flops (nine high or lower) up to 60.66% on paired flops. Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.
| Flop | Share of flops | A2s wins | Ties | 76s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 57.639 | 0.228 | 42.133 | 57.753 |
| Rainbow, nine or lower | 5.689 | 28.719 | 0.713 | 70.568 | 29.075 |
| Two-tone | 46.727 | 52.349 | 0.286 | 47.365 | 52.492 |
| Monotone | 5.273 | 50.362 | 3.449 | 46.189 | 52.086 |
| Paired | 17.091 | 60.316 | 0.686 | 38.998 | 60.659 |
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
Compared with a random opponent, this matchup shifts A2s from 57.38% by -3.52 points and 76s from 45.37% by +0.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 53.861 | 57.379 | -3.518 | 0.93869 |
| A2s, rainbow, ten or higher | 57.753 | 57.379 | +0.374 | 1.00652 |
| A2s, rainbow, nine or lower | 29.075 | 57.379 | -28.304 | 0.50672 |
| A2s, two-tone | 52.492 | 57.379 | -4.887 | 0.91483 |
| A2s, monotone | 52.086 | 57.379 | -5.293 | 0.90775 |
| A2s, paired | 60.659 | 57.379 | +3.280 | 1.05716 |
| 76s, all flops | 46.139 | 45.372 | +0.767 | 1.01690 |
| 76s, rainbow, ten or higher | 42.247 | 45.372 | -3.125 | 0.93112 |
| 76s, rainbow, nine or lower | 70.925 | 45.372 | +25.553 | 1.56319 |
| 76s, two-tone | 47.508 | 45.372 | +2.136 | 1.04708 |
| 76s, monotone | 47.914 | 45.372 | +2.542 | 1.05603 |
| 76s, paired | 39.341 | 45.372 | -6.031 | 0.86708 |
Does a shared suit matter?
Split by suits, the deals give A2s 55.34% when the hands overlap in a suit and 53.37% when they do not. A2s does better with a shared suit, by 1.97 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 76s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.038 | 0.613 | 44.349 | 55.344 |
| No shared suit | 12 | 75.00 | 53.115 | 0.503 | 46.382 | 53.366 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
With $100 from each side, the $200 pot is split on average as $107.72 for A2s and $92.28 for 76s; the first side gains $7.72 per all-in and the second gives up $7.72.
A thousand deals look like this: A2s takes 536, 76s takes 459, 5 are ties.
The same matchup from the other side
Read it from the other side: 76s against A2s is the same matchup with the numbers swapped, so 76s holds 46.14% and A2s holds 53.86%. That address sends you back to this page.
Keep exploring
As2s against 7h6h 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
We counted every case. Each suit pattern of the 16 specific A2s against 76s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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