AQo
45.36%
Wins 45.17%, ties 0.38%
66
54.64%
Wins 54.45%, ties 0.38%
AQo against 66: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 45.174 | 0.376 | 54.450 | 45.362 |
| 66 | 54.450 | 0.376 | 45.174 | 54.638 |
We compare an offsuit hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
That is a slim edge: neither hand is far ahead. The tie share is 0.38%: on those boards the pot is chopped and neither hand wins outright.
For context, AQo sits at number 14 of 169 starting hands and 66 at number 17 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 55,693,000 | 464,000 | 67,129,000 |
| 66 | 67,129,000 | 464,000 | 55,693,000 |
The board total is exact, 72 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) |
|---|---|---|---|---|
| AQo | 0.830 | 2.214 | 1.837 | 1.204 |
| 66 | 1.204 | 1.837 | 2.214 | 0.830 |
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
66 prefers low rainbow flops (nine high or lower), where it holds 81.61%, and likes rainbow flops topped by a ten or better least, where it holds 47.35%. Rainbow flops topped by a ten or better favor AQo, the hand that is behind overall.
| Flop | Share of flops | AQo wins | Ties | 66 wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 52.574 | 0.147 | 47.279 | 52.648 |
| Rainbow, nine or lower | 6.314 | 18.004 | 0.782 | 81.214 | 18.395 |
| Two-tone | 46.485 | 45.880 | 0.266 | 53.854 | 46.013 |
| Monotone | 5.151 | 47.735 | 1.725 | 50.540 | 48.597 |
| Paired | 17.333 | 41.863 | 0.451 | 57.686 | 42.089 |
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
Against one random hand instead, AQo holds 64.43% and 66 holds 63.29%. Facing each other changes that by -19.07 points for AQo and -8.65 points for 66.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 45.362 | 64.432 | -19.070 | 0.70403 |
| AQo, rainbow, ten or higher | 52.648 | 64.432 | -11.784 | 0.81711 |
| AQo, rainbow, nine or lower | 18.395 | 64.432 | -46.037 | 0.28549 |
| AQo, two-tone | 46.013 | 64.432 | -18.419 | 0.71413 |
| AQo, monotone | 48.597 | 64.432 | -15.835 | 0.75424 |
| AQo, paired | 42.089 | 64.432 | -22.343 | 0.65323 |
| 66, all flops | 54.638 | 63.285 | -8.647 | 0.86336 |
| 66, rainbow, ten or higher | 47.352 | 63.285 | -15.933 | 0.74823 |
| 66, rainbow, nine or lower | 81.605 | 63.285 | +18.320 | 1.28948 |
| 66, two-tone | 53.987 | 63.285 | -9.298 | 0.85308 |
| 66, monotone | 51.403 | 63.285 | -11.882 | 0.81225 |
| 66, paired | 57.911 | 63.285 | -5.374 | 0.91508 |
Does a shared suit matter?
The suit split reads 54.56% for 66 with a shared suit and 55.04% without one. 66 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 66 wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 45.247 | 0.392 | 54.361 | 45.443 |
| No shared suit | 12 | 16.67 | 44.809 | 0.299 | 54.892 | 44.959 |
How often this matchup comes up
How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are AQo against 66, and 144 (0.0089%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 66's average share is $109.28 (a gain of $9.28) and AQo's is $90.72 (a loss of $9.28).
Think in thousands: about 544 of 1,000 go to 66, about 452 go to AQo, and about 4 are chopped.
The same matchup from the other side
Read it from the other side: 66 against AQo is the same matchup with the numbers swapped, so 66 holds 54.64% and AQo holds 45.36%. That address sends you back to this page.
Keep exploring
Try AsQh against 6d6c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of AQo against 66, 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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