AQo
58.84%
Wins 58.63%, ties 0.42%
76s
41.16%
Wins 40.95%, ties 0.42%
AQo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 58.630 | 0.420 | 40.950 | 58.840 |
| 76s | 40.950 | 0.420 | 58.630 | 41.160 |
AQo, an offsuit hand, plays 76s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.42% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, AQo is number 14 and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 48,188,000 | 345,000 | 33,657,000 |
| 76s | 33,657,000 | 345,000 | 48,188,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| AQo | 1.430 | 1.706 | 2.442 | 0.700 |
| 76s | 0.700 | 2.442 | 1.706 | 1.430 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AQo is strongest on rainbow flops topped by a ten or better (67.07%) and weakest on low rainbow flops (nine high or lower) (31.67%). Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.
| Flop | Share of flops | AQo wins | Ties | 76s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.998 | 0.144 | 32.858 | 67.070 |
| Rainbow, nine or lower | 6.313 | 31.347 | 0.649 | 68.004 | 31.671 |
| Two-tone | 46.667 | 57.048 | 0.236 | 42.716 | 57.166 |
| Monotone | 5.212 | 56.187 | 2.366 | 41.447 | 57.370 |
| Paired | 17.091 | 61.671 | 0.645 | 37.684 | 61.993 |
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
Start from the random-hand figures, 64.43% for AQo and 45.37% for 76s. This opponent changes them by -5.59 and -4.21 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 58.840 | 64.432 | -5.592 | 0.91321 |
| AQo, rainbow, ten or higher | 67.070 | 64.432 | +2.638 | 1.04094 |
| AQo, rainbow, nine or lower | 31.671 | 64.432 | -32.761 | 0.49154 |
| AQo, two-tone | 57.166 | 64.432 | -7.266 | 0.88723 |
| AQo, monotone | 57.370 | 64.432 | -7.062 | 0.89040 |
| AQo, paired | 61.993 | 64.432 | -2.439 | 0.96215 |
| 76s, all flops | 41.160 | 45.372 | -4.212 | 0.90717 |
| 76s, rainbow, ten or higher | 32.930 | 45.372 | -12.442 | 0.72578 |
| 76s, rainbow, nine or lower | 68.329 | 45.372 | +22.957 | 1.50597 |
| 76s, two-tone | 42.834 | 45.372 | -2.538 | 0.94406 |
| 76s, monotone | 42.630 | 45.372 | -2.742 | 0.93957 |
| 76s, paired | 38.007 | 45.372 | -7.365 | 0.83768 |
Does a shared suit matter?
The suit split reads 59.53% for AQo with a shared suit and 58.15% without one. AQo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 76s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.298 | 0.461 | 40.241 | 59.529 |
| No shared suit | 24 | 50.00 | 57.961 | 0.380 | 41.659 | 58.151 |
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
Take a $200 pot built from $100 each. AQo's equity of 58.84% is worth $117.68, a $17.68 edge, and 76s' 41.16% is worth $82.32, which is $17.68 under its stake.
Think in thousands: about 586 of 1,000 go to AQo, about 410 go to 76s, and about 4 are chopped.
The same matchup from the other side
If you came looking for 76s against AQo, the numbers are the same with the hands swapped: 41.16% and 58.84%.
Keep exploring
AsQh against 7d6d 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
We counted every case. Each suit pattern of the 48 specific AQo against 76s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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