A9o
53.69%
Wins 53.47%, ties 0.44%
QTs
46.31%
Wins 46.09%, ties 0.44%
A9o against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 53.470 | 0.442 | 46.088 | 53.691 |
| QTs | 46.088 | 0.442 | 53.470 | 46.309 |
One side is an offsuit hand, the other is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
With only 7.38 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, A9o is number 25 and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 43,947,000 | 363,000 | 37,880,000 |
| QTs | 37,880,000 | 363,000 | 43,947,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| A9o | 1.159 | 1.870 | 2.170 | 0.863 |
| QTs | 0.863 | 2.170 | 1.870 | 1.159 |
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
Across the five flop textures A9o's equity moves by 22.01 points, from 48.99% on rainbow flops topped by a ten or better to 71.00% on low rainbow flops (nine high or lower). QTs is ahead on rainbow flops topped by a ten or better, even though it trails A9o when every flop is counted.
| Flop | Share of flops | A9o wins | Ties | QTs wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 48.919 | 0.146 | 50.935 | 48.992 |
| Rainbow, nine or lower | 7.042 | 70.613 | 0.770 | 28.617 | 70.998 |
| Two-tone | 46.667 | 51.316 | 0.265 | 48.419 | 51.449 |
| Monotone | 5.212 | 50.702 | 2.367 | 46.931 | 51.885 |
| Paired | 17.091 | 59.519 | 0.620 | 39.861 | 59.829 |
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
Against one random hand instead, A9o holds 60.77% and QTs holds 59.47%. Facing each other changes that by -7.08 points for A9o and -13.16 points for QTs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 53.691 | 60.773 | -7.082 | 0.88347 |
| A9o, rainbow, ten or higher | 48.992 | 60.773 | -11.781 | 0.80615 |
| A9o, rainbow, nine or lower | 70.998 | 60.773 | +10.225 | 1.16825 |
| A9o, two-tone | 51.449 | 60.773 | -9.324 | 0.84658 |
| A9o, monotone | 51.885 | 60.773 | -8.888 | 0.85375 |
| A9o, paired | 59.829 | 60.773 | -0.944 | 0.98447 |
| QTs, all flops | 46.309 | 59.468 | -13.159 | 0.77872 |
| QTs, rainbow, ten or higher | 51.008 | 59.468 | -8.460 | 0.85774 |
| QTs, rainbow, nine or lower | 29.002 | 59.468 | -30.466 | 0.48769 |
| QTs, two-tone | 48.551 | 59.468 | -10.917 | 0.81642 |
| QTs, monotone | 48.115 | 59.468 | -11.353 | 0.80909 |
| QTs, paired | 40.171 | 59.468 | -19.297 | 0.67551 |
Does a shared suit matter?
When the hands share a suit, A9o holds 54.12%; when they do not, it holds 53.26%. A9o does better with a shared suit, by 0.86 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | QTs wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 53.883 | 0.483 | 45.634 | 54.124 |
| No shared suit | 24 | 50.00 | 53.057 | 0.401 | 46.542 | 53.258 |
How often this matchup comes up
A9o against QTs is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9o's average share is $107.38 (a gain of $7.38) and QTs' is $92.62 (a loss of $7.38).
A thousand deals look like this: A9o takes 535, QTs takes 461, 4 are ties.
The same matchup from the other side
The mirror image, QTs against A9o, is 46.31% to 53.69%, and its address redirects to this page.
Keep exploring
The calculator link fills in As9h against QdTd, 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
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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session