ATs
61.61%
Wins 61.38%, ties 0.46%
76s
38.39%
Wins 38.16%, ties 0.46%
ATs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 61.375 | 0.462 | 38.163 | 61.606 |
| 76s | 38.163 | 0.462 | 61.375 | 38.394 |
The matchup is suited hands on both sides, ATs against 76s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATs is ahead, but 76s is far from dead: it takes 382 of every 1,000 deals outright. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.
ATs ranks number 13 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 16,815,000 | 127,000 | 10,455,000 |
| 76s | 10,455,000 | 127,000 | 16,815,000 |
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) |
|---|---|---|---|---|
| ATs | 1.605 | 1.629 | 2.620 | 0.623 |
| 76s | 0.623 | 2.620 | 1.629 | 1.605 |
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
Break the boards down by their first three cards and ATs is strongest on rainbow flops topped by a ten or better (68.38%) and weakest on low rainbow flops (nine high or lower) (35.25%). Low rainbow flops (nine high or lower) favor 76s, the hand that is behind overall.
| Flop | Share of flops | ATs wins | Ties | 76s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.291 | 0.176 | 31.533 | 68.379 |
| Rainbow, nine or lower | 6.314 | 35.034 | 0.440 | 64.526 | 35.254 |
| Two-tone | 46.727 | 60.741 | 0.213 | 39.046 | 60.847 |
| Monotone | 5.273 | 57.304 | 3.401 | 39.295 | 59.005 |
| Paired | 17.091 | 64.144 | 0.653 | 35.203 | 64.471 |
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 ATs from 64.60% by -2.99 points and 76s from 45.37% by -6.98 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 61.606 | 64.602 | -2.996 | 0.95362 |
| ATs, rainbow, ten or higher | 68.379 | 64.602 | +3.777 | 1.05847 |
| ATs, rainbow, nine or lower | 35.254 | 64.602 | -29.348 | 0.54571 |
| ATs, two-tone | 60.847 | 64.602 | -3.755 | 0.94187 |
| ATs, monotone | 59.005 | 64.602 | -5.597 | 0.91336 |
| ATs, paired | 64.471 | 64.602 | -0.131 | 0.99797 |
| 76s, all flops | 38.394 | 45.372 | -6.978 | 0.84620 |
| 76s, rainbow, ten or higher | 31.621 | 45.372 | -13.751 | 0.69693 |
| 76s, rainbow, nine or lower | 64.746 | 45.372 | +19.374 | 1.42700 |
| 76s, two-tone | 39.153 | 45.372 | -6.219 | 0.86293 |
| 76s, monotone | 40.995 | 45.372 | -4.377 | 0.90353 |
| 76s, paired | 35.529 | 45.372 | -9.843 | 0.78306 |
Does a shared suit matter?
Does suit overlap move the numbers? ATs has 63.78% when the hands share a suit and 60.88% when they do not. ATs does better with a shared suit, by 2.90 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 76s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.515 | 0.536 | 35.949 | 63.783 |
| No shared suit | 12 | 75.00 | 60.662 | 0.437 | 38.901 | 60.880 |
How often this matchup comes up
ATs against 76s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says ATs gets $123.22 of it on average and 76s gets $76.78.
Out of 1,000 deals you should see around 614 outright wins for ATs, 382 for 76s, and 4 split pots.
The same matchup from the other side
Read it from the other side: 76s against ATs is the same matchup with the numbers swapped, so 76s holds 38.39% and ATs holds 61.61%. That address sends you back to this page.
Keep exploring
AsTs 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of ATs against 76s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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