AQs
61.18%
Wins 60.92%, ties 0.51%
65s
38.82%
Wins 38.57%, ties 0.51%
AQs against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 60.923 | 0.507 | 38.570 | 61.176 |
| 65s | 38.570 | 0.507 | 60.923 | 38.824 |
Both hands are suited hands: AQs and 65s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.51%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, AQs is number 10 of the 169 starting hands and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 16,691,000 | 139,000 | 10,567,000 |
| 65s | 10,567,000 | 139,000 | 16,691,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 1.576 | 1.641 | 2.593 | 0.635 |
| 65s | 0.635 | 2.593 | 1.641 | 1.576 |
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
Rainbow flops topped by a ten or better are the best for AQs (68.48%); low rainbow flops (nine high or lower) are the worst (32.12%). Watch for low rainbow flops (nine high or lower): on those flops 65s holds the better equity.
| Flop | Share of flops | AQs wins | Ties | 65s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.401 | 0.149 | 31.450 | 68.476 |
| Rainbow, nine or lower | 6.314 | 31.706 | 0.828 | 67.466 | 32.120 |
| Two-tone | 46.727 | 60.255 | 0.264 | 39.481 | 60.387 |
| Monotone | 5.273 | 57.019 | 3.466 | 39.515 | 58.752 |
| Paired | 17.091 | 63.984 | 0.653 | 35.363 | 64.311 |
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
Against one random hand instead, AQs holds 66.21% and 65s holds 43.13%. Facing each other changes that by -5.03 points for AQs and -4.31 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 61.176 | 66.209 | -5.033 | 0.92398 |
| AQs, rainbow, ten or higher | 68.476 | 66.209 | +2.267 | 1.03424 |
| AQs, rainbow, nine or lower | 32.120 | 66.209 | -34.089 | 0.48513 |
| AQs, two-tone | 60.387 | 66.209 | -5.822 | 0.91207 |
| AQs, monotone | 58.752 | 66.209 | -7.457 | 0.88737 |
| AQs, paired | 64.311 | 66.209 | -1.898 | 0.97133 |
| 65s, all flops | 38.824 | 43.133 | -4.309 | 0.90010 |
| 65s, rainbow, ten or higher | 31.524 | 43.133 | -11.609 | 0.73086 |
| 65s, rainbow, nine or lower | 67.880 | 43.133 | +24.747 | 1.57374 |
| 65s, two-tone | 39.613 | 43.133 | -3.520 | 0.91839 |
| 65s, monotone | 41.248 | 43.133 | -1.885 | 0.95630 |
| 65s, paired | 35.689 | 43.133 | -7.444 | 0.82742 |
Does a shared suit matter?
When the hands share a suit, AQs holds 63.27%; when they do not, it holds 60.48%. AQs does better with a shared suit, by 2.79 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 65s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 62.979 | 0.587 | 36.434 | 63.273 |
| No shared suit | 12 | 75.00 | 60.237 | 0.480 | 39.283 | 60.477 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says AQs gets $122.36 of it on average and 65s gets $77.64.
Over a long run, 1,000 deals split into about 609 for AQs, 386 for 65s and 5 tied.
The same matchup from the other side
65s against AQs adds nothing new: it is 38.82% for 65s and 61.18% for AQs, the same figures reversed.
Keep exploring
AsQs against 6h5h 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 AQs against 65s, 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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