A9s
56.42%
Wins 56.18%, ties 0.49%
QTs
43.58%
Wins 43.33%, ties 0.49%
A9s against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 56.178 | 0.488 | 43.334 | 56.422 |
| QTs | 43.334 | 0.488 | 56.178 | 43.578 |
The matchup is suited hands on both sides, A9s against QTs. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 12.84 point lead is real, and QTs still takes about 433 of every 1,000 deals outright. The tie share is 0.49%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, A9s is number 18 and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 15,391,000 | 134,000 | 11,872,000 |
| QTs | 11,872,000 | 134,000 | 15,391,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A9s | 1.295 | 1.780 | 2.308 | 0.772 |
| QTs | 0.772 | 2.308 | 1.780 | 1.295 |
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
A9s prefers low rainbow flops (nine high or lower), where it holds 72.47%, and likes rainbow flops topped by a ten or better least, where it holds 50.66%. A9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A9s wins | Ties | QTs wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 50.588 | 0.143 | 49.269 | 50.660 |
| Rainbow, nine or lower | 7.042 | 72.093 | 0.745 | 27.162 | 72.466 |
| Two-tone | 46.727 | 55.040 | 0.249 | 44.711 | 55.165 |
| Monotone | 5.273 | 52.148 | 3.403 | 44.449 | 53.849 |
| Paired | 17.091 | 61.778 | 0.620 | 37.602 | 62.088 |
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
A random hand would give A9s 62.78% and QTs 59.47%. Against each other the change is -6.36 points for A9s and -15.89 for QTs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 56.422 | 62.781 | -6.359 | 0.89871 |
| A9s, rainbow, ten or higher | 50.660 | 62.781 | -12.121 | 0.80693 |
| A9s, rainbow, nine or lower | 72.466 | 62.781 | +9.685 | 1.15427 |
| A9s, two-tone | 55.165 | 62.781 | -7.616 | 0.87869 |
| A9s, monotone | 53.849 | 62.781 | -8.932 | 0.85773 |
| A9s, paired | 62.088 | 62.781 | -0.693 | 0.98896 |
| QTs, all flops | 43.578 | 59.468 | -15.890 | 0.73280 |
| QTs, rainbow, ten or higher | 49.340 | 59.468 | -10.128 | 0.82969 |
| QTs, rainbow, nine or lower | 27.534 | 59.468 | -31.934 | 0.46301 |
| QTs, two-tone | 44.835 | 59.468 | -14.633 | 0.75393 |
| QTs, monotone | 46.151 | 59.468 | -13.317 | 0.77606 |
| QTs, paired | 37.912 | 59.468 | -21.556 | 0.63752 |
Does a shared suit matter?
Split by suits, the deals give A9s 58.29% when the hands overlap in a suit and 55.80% when they do not. A9s does better with a shared suit, by 2.49 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | QTs wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.006 | 0.564 | 41.430 | 58.288 |
| No shared suit | 12 | 75.00 | 55.568 | 0.463 | 43.969 | 55.800 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A9s against QTs, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9s' average share is $112.84 (a gain of $12.84) and QTs' is $87.16 (a loss of $12.84).
Run 1,000 deals and the tally comes out near 562 for A9s, 433 for QTs and 5 ties.
The same matchup from the other side
If you came looking for QTs against A9s, the numbers are the same with the hands swapped: 43.58% and 56.42%.
Keep exploring
As9s against QhTh 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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