AQs
48.02%
Wins 47.82%, ties 0.40%
66
51.98%
Wins 51.78%, ties 0.40%
AQs against 66: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 47.815 | 0.401 | 51.784 | 48.015 |
| 66 | 51.784 | 0.401 | 47.815 | 51.985 |
Here a suited hand (AQs) meets a pocket pair (66). One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with 66 a little ahead. The tie share is 0.40%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, AQs is number 10 and 66 is number 17.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 19,650,000 | 165,000 | 21,281,000 |
| 66 | 21,281,000 | 165,000 | 19,650,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| AQs | 0.924 | 2.091 | 1.931 | 1.083 |
| 66 | 1.083 | 1.931 | 2.091 | 0.924 |
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. 66 does best on low rainbow flops (nine high or lower), at 78.85%, and worst on rainbow flops topped by a ten or better, at 45.89%. Rainbow flops topped by a ten or better favor AQs, the hand that is behind overall.
| Flop | Share of flops | AQs wins | Ties | 66 wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.043 | 0.142 | 45.815 | 54.114 |
| Rainbow, nine or lower | 6.314 | 20.778 | 0.745 | 78.477 | 21.151 |
| Two-tone | 46.545 | 49.526 | 0.245 | 50.229 | 49.648 |
| Monotone | 5.212 | 47.380 | 2.441 | 50.179 | 48.601 |
| Paired | 17.334 | 44.360 | 0.451 | 55.189 | 44.586 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, AQs changes by -18.19 points (baseline 66.21%) and 66 by -11.31 points (baseline 63.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 48.015 | 66.209 | -18.194 | 0.72520 |
| AQs, rainbow, ten or higher | 54.114 | 66.209 | -12.095 | 0.81732 |
| AQs, rainbow, nine or lower | 21.151 | 66.209 | -45.058 | 0.31946 |
| AQs, two-tone | 49.648 | 66.209 | -16.561 | 0.74987 |
| AQs, monotone | 48.601 | 66.209 | -17.608 | 0.73405 |
| AQs, paired | 44.586 | 66.209 | -21.623 | 0.67341 |
| 66, all flops | 51.985 | 63.285 | -11.300 | 0.82144 |
| 66, rainbow, ten or higher | 45.886 | 63.285 | -17.399 | 0.72507 |
| 66, rainbow, nine or lower | 78.849 | 63.285 | +15.564 | 1.24594 |
| 66, two-tone | 50.352 | 63.285 | -12.933 | 0.79564 |
| 66, monotone | 51.399 | 63.285 | -11.886 | 0.81218 |
| 66, paired | 55.414 | 63.285 | -7.871 | 0.87563 |
Does a shared suit matter?
When the hands share a suit, 66 holds 52.18%; when they do not, it holds 51.80%. 66 does better with a shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 66 wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.602 | 0.446 | 51.952 | 47.825 |
| No shared suit | 12 | 50.00 | 48.027 | 0.357 | 51.616 | 48.205 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: 66 averages $103.96 back, ahead of its $100 by $3.96, while AQs averages $96.04, short of its $100 by $3.96.
Over a long run, 1,000 deals split into about 518 for 66, 478 for AQs and 4 tied.
The same matchup from the other side
Swap the hands and you get 66 with 51.98% against AQs with 48.02%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsQs against 6h6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 24 deals of AQs against 66 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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