AQo
63.32%
Wins 63.11%, ties 0.42%
T9o
36.68%
Wins 36.47%, ties 0.42%
AQo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 63.114 | 0.420 | 36.466 | 63.324 |
| T9o | 36.466 | 0.420 | 63.114 | 36.676 |
Here offsuit hands face each other, AQo on one side and T9o on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AQo is ahead, but T9o is far from dead: it takes 365 of every 1,000 deals outright. 0.42% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 14 of 169 belongs to AQo and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 155,621,000 | 1,036,000 | 89,915,000 |
| T9o | 89,915,000 | 1,036,000 | 155,621,000 |
The total is exact: 144 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) |
|---|---|---|---|---|
| AQo | 1.727 | 1.584 | 2.742 | 0.579 |
| T9o | 0.579 | 2.742 | 1.584 | 1.727 |
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
If you know the kind of flop that came, the numbers shift: AQo holds 66.27% on paired flops and 53.61% on low rainbow flops (nine high or lower). AQo stays ahead on all five textures.
| Flop | Share of flops | AQo wins | Ties | T9o wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 65.275 | 0.153 | 34.572 | 65.352 |
| Rainbow, nine or lower | 7.042 | 53.206 | 0.804 | 45.990 | 53.608 |
| Two-tone | 46.606 | 62.598 | 0.287 | 37.115 | 62.742 |
| Monotone | 5.151 | 61.755 | 1.680 | 36.565 | 62.595 |
| Paired | 17.091 | 65.963 | 0.620 | 33.417 | 66.273 |
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
Each hand has a baseline against a random hand: 64.43% for AQo, 51.53% for T9o. Here the change is -1.11 and -14.85 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 63.324 | 64.432 | -1.108 | 0.98280 |
| AQo, rainbow, ten or higher | 65.352 | 64.432 | +0.920 | 1.01428 |
| AQo, rainbow, nine or lower | 53.608 | 64.432 | -10.824 | 0.83201 |
| AQo, two-tone | 62.742 | 64.432 | -1.690 | 0.97377 |
| AQo, monotone | 62.595 | 64.432 | -1.837 | 0.97149 |
| AQo, paired | 66.273 | 64.432 | +1.841 | 1.02857 |
| T9o, all flops | 36.676 | 51.532 | -14.856 | 0.71171 |
| T9o, rainbow, ten or higher | 34.648 | 51.532 | -16.884 | 0.67236 |
| T9o, rainbow, nine or lower | 46.392 | 51.532 | -5.140 | 0.90026 |
| T9o, two-tone | 37.258 | 51.532 | -14.274 | 0.72301 |
| T9o, monotone | 37.405 | 51.532 | -14.127 | 0.72586 |
| T9o, paired | 33.727 | 51.532 | -17.805 | 0.65449 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AQo has 63.43%; looking only at deals where they do not, 62.81%. AQo does better with a shared suit, by 0.62 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | T9o wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 63.208 | 0.436 | 36.356 | 63.426 |
| No shared suit | 24 | 16.67 | 62.640 | 0.341 | 37.019 | 62.811 |
How often this matchup comes up
How often does it happen? 144 of the 1,624,350 ordered deals (0.0089%) are AQo against T9o, and 288 (0.0177%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $126.64 for AQo and $73.36 for T9o; the first side gains $26.64 per all-in and the second gives up $26.64.
In 1,000 deals of exactly this matchup, expect about 631 won outright by AQo, about 365 won outright by T9o and about 4 split.
The same matchup from the other side
If you came looking for T9o against AQo, the numbers are the same with the hands swapped: 36.68% and 63.32%.
Keep exploring
The calculator link fills in AsQh against Td9c, 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
We counted every case. Each suit pattern of the 144 specific AQo against T9o 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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