AQs
61.45%
Wins 61.21%, ties 0.47%
76s
38.55%
Wins 38.32%, ties 0.47%
AQs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 61.212 | 0.466 | 38.322 | 61.445 |
| 76s | 38.322 | 0.466 | 61.212 | 38.555 |
Each side holds one of the suited hands: AQs and 76s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, AQs is number 10 and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 16,770,000 | 128,000 | 10,499,000 |
| 76s | 10,499,000 | 128,000 | 16,770,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| AQs | 1.594 | 1.634 | 2.609 | 0.627 |
| 76s | 0.627 | 2.609 | 1.634 | 1.594 |
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
Break the boards down by their first three cards and AQs is strongest on rainbow flops topped by a ten or better (68.42%) and weakest on low rainbow flops (nine high or lower) (34.24%). The lead reverses on low rainbow flops (nine high or lower): there 76s is the favorite even though AQs is ahead overall.
| Flop | Share of flops | AQs wins | Ties | 76s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.345 | 0.139 | 31.516 | 68.415 |
| Rainbow, nine or lower | 6.314 | 33.931 | 0.618 | 65.451 | 34.240 |
| Two-tone | 46.727 | 60.604 | 0.220 | 39.176 | 60.714 |
| Monotone | 5.273 | 57.260 | 3.406 | 39.334 | 58.963 |
| Paired | 17.091 | 63.911 | 0.645 | 35.444 | 64.233 |
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
Compared with a random opponent, this matchup shifts AQs from 66.21% by -4.76 points and 76s from 45.37% by -6.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 61.445 | 66.209 | -4.764 | 0.92805 |
| AQs, rainbow, ten or higher | 68.415 | 66.209 | +2.206 | 1.03332 |
| AQs, rainbow, nine or lower | 34.240 | 66.209 | -31.969 | 0.51715 |
| AQs, two-tone | 60.714 | 66.209 | -5.495 | 0.91701 |
| AQs, monotone | 58.963 | 66.209 | -7.246 | 0.89056 |
| AQs, paired | 64.233 | 66.209 | -1.976 | 0.97016 |
| 76s, all flops | 38.555 | 45.372 | -6.817 | 0.84975 |
| 76s, rainbow, ten or higher | 31.585 | 45.372 | -13.787 | 0.69613 |
| 76s, rainbow, nine or lower | 65.760 | 45.372 | +20.388 | 1.44935 |
| 76s, two-tone | 39.286 | 45.372 | -6.086 | 0.86586 |
| 76s, monotone | 41.037 | 45.372 | -4.335 | 0.90446 |
| 76s, paired | 35.767 | 45.372 | -9.605 | 0.78831 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (AQs at 63.57%) and 12 do not (60.74%). AQs does better with a shared suit, by 2.83 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 76s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.299 | 0.543 | 36.158 | 63.571 |
| No shared suit | 12 | 75.00 | 60.517 | 0.440 | 39.043 | 60.737 |
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 $122.90 for AQs and $77.10 for 76s; the first side gains $22.90 per all-in and the second gives up $22.90.
Think in thousands: about 612 of 1,000 go to AQs, about 383 go to 76s, and about 5 are chopped.
The same matchup from the other side
76s against AQs adds nothing new: it is 38.55% for 76s and 61.45% for AQs, the same figures reversed.
Keep exploring
Open the calculator with AsQs against 7h6h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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