AQo
59.86%
Wins 59.62%, ties 0.47%
64s
40.14%
Wins 39.91%, ties 0.47%
AQo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 59.619 | 0.474 | 39.907 | 59.856 |
| 64s | 39.907 | 0.474 | 59.619 | 40.144 |
AQo is an offsuit hand and 64s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 19.72 point lead is real, and 64s still takes about 399 of every 1,000 deals outright. Ties are part of the picture: 0.47% of boards end in a split pot, and each side counts that as half a win.
Place 14 of 169 belongs to AQo and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,001,000 | 390,000 | 32,800,000 |
| 64s | 32,800,000 | 390,000 | 49,001,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 1.491 | 1.677 | 2.506 | 0.671 |
| 64s | 0.671 | 2.506 | 1.677 | 1.491 |
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
By flop texture, AQo's equity runs from 32.45% on low rainbow flops (nine high or lower) up to 68.21% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 64s is the one ahead.
| Flop | Share of flops | AQo wins | Ties | 64s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.130 | 0.154 | 31.716 | 68.207 |
| Rainbow, nine or lower | 6.313 | 31.979 | 0.937 | 67.084 | 32.448 |
| Two-tone | 46.667 | 57.996 | 0.296 | 41.708 | 58.144 |
| Monotone | 5.212 | 56.917 | 2.427 | 40.656 | 58.131 |
| Paired | 17.091 | 62.777 | 0.657 | 36.566 | 63.106 |
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
A random hand would give AQo 64.43% and 64s 41.33%. Against each other the change is -4.57 points for AQo and -1.19 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 59.856 | 64.432 | -4.576 | 0.92898 |
| AQo, rainbow, ten or higher | 68.207 | 64.432 | +3.775 | 1.05859 |
| AQo, rainbow, nine or lower | 32.448 | 64.432 | -31.984 | 0.50360 |
| AQo, two-tone | 58.144 | 64.432 | -6.288 | 0.90241 |
| AQo, monotone | 58.131 | 64.432 | -6.301 | 0.90221 |
| AQo, paired | 63.106 | 64.432 | -1.326 | 0.97942 |
| 64s, all flops | 40.144 | 41.333 | -1.189 | 0.97123 |
| 64s, rainbow, ten or higher | 31.793 | 41.333 | -9.540 | 0.76919 |
| 64s, rainbow, nine or lower | 67.552 | 41.333 | +26.219 | 1.63434 |
| 64s, two-tone | 41.856 | 41.333 | +0.523 | 1.01265 |
| 64s, monotone | 41.869 | 41.333 | +0.536 | 1.01297 |
| 64s, paired | 36.894 | 41.333 | -4.439 | 0.89260 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and AQo holds 60.56%. In 24 they do not, and it holds 59.15%. AQo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 64s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.307 | 0.515 | 39.178 | 60.564 |
| No shared suit | 24 | 50.00 | 58.931 | 0.434 | 40.635 | 59.148 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $119.72 for AQo and $80.28 for 64s; the first side gains $19.72 per all-in and the second gives up $19.72.
Over a long run, 1,000 deals split into about 596 for AQo, 399 for 64s and 5 tied.
The same matchup from the other side
Read it from the other side: 64s against AQo is the same matchup with the numbers swapped, so 64s holds 40.14% and AQo holds 59.86%. That address sends you back to this page.
Keep exploring
Open the calculator with AsQh against 6d4d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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