AQs
62.43%
Wins 62.17%, ties 0.52%
64s
37.57%
Wins 37.31%, ties 0.52%
AQs against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 62.169 | 0.517 | 37.314 | 62.428 |
| 64s | 37.314 | 0.517 | 62.169 | 37.572 |
Here suited hands face each other, AQs on one side and 64s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.52% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, AQs is number 10 and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 17,032,000 | 142,000 | 10,223,000 |
| 64s | 10,223,000 | 142,000 | 17,032,000 |
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 | 1.662 | 1.609 | 2.680 | 0.602 |
| 64s | 0.602 | 2.680 | 1.609 | 1.662 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
AQs prefers rainbow flops topped by a ten or better, where it holds 69.53%, and likes low rainbow flops (nine high or lower) least, where it holds 35.00%. The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though AQs is ahead overall.
| Flop | Share of flops | AQs wins | Ties | 64s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.459 | 0.149 | 30.392 | 69.534 |
| Rainbow, nine or lower | 6.314 | 34.554 | 0.895 | 64.551 | 35.002 |
| Two-tone | 46.727 | 61.515 | 0.274 | 38.211 | 61.652 |
| Monotone | 5.273 | 57.960 | 3.474 | 38.566 | 59.697 |
| Paired | 17.091 | 64.969 | 0.657 | 34.374 | 65.298 |
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
Against one random hand instead, AQs holds 66.21% and 64s holds 41.33%. Facing each other changes that by -3.78 points for AQs and -3.76 points for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 62.428 | 66.209 | -3.781 | 0.94289 |
| AQs, rainbow, ten or higher | 69.534 | 66.209 | +3.325 | 1.05022 |
| AQs, rainbow, nine or lower | 35.002 | 66.209 | -31.207 | 0.52866 |
| AQs, two-tone | 61.652 | 66.209 | -4.557 | 0.93117 |
| AQs, monotone | 59.697 | 66.209 | -6.512 | 0.90164 |
| AQs, paired | 65.298 | 66.209 | -0.911 | 0.98624 |
| 64s, all flops | 37.572 | 41.333 | -3.761 | 0.90901 |
| 64s, rainbow, ten or higher | 30.466 | 41.333 | -10.867 | 0.73709 |
| 64s, rainbow, nine or lower | 64.998 | 41.333 | +23.665 | 1.57254 |
| 64s, two-tone | 38.348 | 41.333 | -2.985 | 0.92778 |
| 64s, monotone | 40.303 | 41.333 | -1.030 | 0.97508 |
| 64s, paired | 34.702 | 41.333 | -6.631 | 0.83957 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AQs has 64.68%; looking only at deals where they do not, 61.68%. AQs does better with a shared suit, by 3.00 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 64s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.377 | 0.597 | 35.026 | 64.675 |
| No shared suit | 12 | 75.00 | 61.434 | 0.490 | 38.076 | 61.679 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Take a $200 pot built from $100 each. AQs' equity of 62.43% is worth $124.86, a $24.86 edge, and 64s' 37.57% is worth $75.14, which is $24.86 under its stake.
A thousand deals look like this: AQs takes 622, 64s takes 373, 5 are ties.
The same matchup from the other side
Read it from the other side: 64s against AQs is the same matchup with the numbers swapped, so 64s holds 37.57% and AQs holds 62.43%. That address sends you back to this page.
Keep exploring
AsQs against 6h4h 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
Nothing here is simulated. The 16 deals of AQs against 64s 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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