AQo
58.56%
Wins 58.32%, ties 0.46%
65s
41.44%
Wins 41.22%, ties 0.46%
AQo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 58.324 | 0.464 | 41.212 | 58.556 |
| 65s | 41.212 | 0.464 | 58.324 | 41.444 |
AQo and 65s are an offsuit hand and a suited hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.46% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AQo is number 14 and 65s is number 128 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 47,937,000 | 381,000 | 33,872,000 |
| 65s | 33,872,000 | 381,000 | 47,937,000 |
The board total is exact, 48 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 | 1.413 | 1.715 | 2.426 | 0.708 |
| 65s | 0.708 | 2.426 | 1.715 | 1.413 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AQo (67.13%); low rainbow flops (nine high or lower) are the worst (29.51%). On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.
| Flop | Share of flops | AQo wins | Ties | 65s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.049 | 0.154 | 32.797 | 67.126 |
| Rainbow, nine or lower | 6.313 | 29.078 | 0.869 | 70.053 | 29.512 |
| Two-tone | 46.667 | 56.672 | 0.285 | 43.043 | 56.815 |
| Monotone | 5.212 | 55.937 | 2.419 | 41.644 | 57.147 |
| Paired | 17.091 | 61.750 | 0.653 | 37.597 | 62.076 |
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, AQo holds 64.43% and 65s holds 43.13%. Facing each other changes that by -5.87 points for AQo and -1.69 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 58.556 | 64.432 | -5.876 | 0.90880 |
| AQo, rainbow, ten or higher | 67.126 | 64.432 | +2.694 | 1.04181 |
| AQo, rainbow, nine or lower | 29.512 | 64.432 | -34.920 | 0.45803 |
| AQo, two-tone | 56.815 | 64.432 | -7.617 | 0.88178 |
| AQo, monotone | 57.147 | 64.432 | -7.285 | 0.88694 |
| AQo, paired | 62.076 | 64.432 | -2.356 | 0.96343 |
| 65s, all flops | 41.444 | 43.133 | -1.689 | 0.96084 |
| 65s, rainbow, ten or higher | 32.874 | 43.133 | -10.259 | 0.76215 |
| 65s, rainbow, nine or lower | 70.488 | 43.133 | +27.355 | 1.63420 |
| 65s, two-tone | 43.185 | 43.133 | +0.052 | 1.00121 |
| 65s, monotone | 42.853 | 43.133 | -0.280 | 0.99351 |
| 65s, paired | 37.924 | 43.133 | -5.209 | 0.87923 |
Does a shared suit matter?
The suit split reads 59.24% for AQo with a shared suit and 57.87% without one. AQo does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 65s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.988 | 0.504 | 40.508 | 59.240 |
| No shared suit | 24 | 50.00 | 57.661 | 0.423 | 41.916 | 57.872 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AQo in one seat and 65s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Take a $200 pot built from $100 each. AQo's equity of 58.56% is worth $117.12, a $17.12 edge, and 65s' 41.44% is worth $82.88, which is $17.12 under its stake.
In 1,000 deals of exactly this matchup, expect about 583 won outright by AQo, about 412 won outright by 65s and about 5 split.
The same matchup from the other side
65s against AQo adds nothing new: it is 41.44% for 65s and 58.56% for AQo, the same figures reversed.
Keep exploring
The calculator link fills in AsQh against 6d5d, 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 48 deals of AQo against 65s 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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