ATs
73.22%
Wins 68.16%, ties 10.13%
A9o
26.78%
Wins 21.71%, ties 10.13%
ATs against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 68.159 | 10.130 | 21.711 | 73.224 |
| A9o | 21.711 | 10.130 | 68.159 | 26.776 |
Here a suited hand (ATs) meets an offsuit hand (A9o). Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
A lead of 46.44 points is large but not decisive: A9o still takes about 217 of every 1,000 deals. 10.13% of boards are ties, so the equity of each hand is its win rate plus half of that.
ATs ranks number 13 of 169 starting hands, and A9o ranks number 25, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 42,015,000 | 6,244,000 | 13,383,000 |
| A9o | 13,383,000 | 6,244,000 | 42,015,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| ATs | 2.735 | 1.467 | 4.606 | 0.366 |
| A9o | 0.366 | 4.606 | 1.467 | 2.735 |
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
Break the boards down by their first three cards and ATs is strongest on rainbow flops topped by a ten or better (77.59%) and weakest on low rainbow flops (nine high or lower) (63.64%). ATs stays ahead on all five textures.
| Flop | Share of flops | ATs wins | Ties | A9o wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 73.333 | 8.510 | 18.157 | 77.588 |
| Rainbow, nine or lower | 7.042 | 61.536 | 4.206 | 34.258 | 63.639 |
| Two-tone | 46.527 | 70.950 | 7.114 | 21.936 | 74.507 |
| Monotone | 5.192 | 62.902 | 7.516 | 29.582 | 66.660 |
| Paired | 17.334 | 57.795 | 23.649 | 18.556 | 69.620 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 64.60%, ATs changes by +8.62 points, and A9o, from 60.77%, by -33.99.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 73.224 | 64.602 | +8.622 | 1.13346 |
| ATs, rainbow, ten or higher | 77.588 | 64.602 | +12.986 | 1.20102 |
| ATs, rainbow, nine or lower | 63.639 | 64.602 | -0.963 | 0.98509 |
| ATs, two-tone | 74.507 | 64.602 | +9.905 | 1.15332 |
| ATs, monotone | 66.660 | 64.602 | +2.058 | 1.03186 |
| ATs, paired | 69.620 | 64.602 | +5.018 | 1.07768 |
| A9o, all flops | 26.776 | 60.773 | -33.997 | 0.44059 |
| A9o, rainbow, ten or higher | 22.412 | 60.773 | -38.361 | 0.36878 |
| A9o, rainbow, nine or lower | 36.361 | 60.773 | -24.412 | 0.59831 |
| A9o, two-tone | 25.493 | 60.773 | -35.280 | 0.41948 |
| A9o, monotone | 33.340 | 60.773 | -27.433 | 0.54860 |
| A9o, paired | 30.380 | 60.773 | -30.393 | 0.49989 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common ATs has 72.97% equity, and with none in common it has 73.35%. ATs does better with no shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A9o wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.852 | 10.240 | 21.908 | 72.972 |
| No shared suit | 24 | 66.67 | 68.312 | 10.075 | 21.613 | 73.350 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: ATs averages $146.44 back, ahead of its $100 by $46.44, while A9o averages $53.56, short of its $100 by $46.44.
Think in thousands: about 682 of 1,000 go to ATs, about 217 go to A9o, and about 101 are chopped.
The same matchup from the other side
The reversed view, A9o against ATs, shows 26.78% for A9o and 73.22% for ATs. It is the same count, so it redirects here.
Keep exploring
AsTs against Ah9d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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