QTs
69.21%
Wins 67.24%, ties 3.95%
T9s
30.79%
Wins 28.81%, ties 3.95%
QTs against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 67.235 | 3.952 | 28.813 | 69.211 |
| T9s | 28.813 | 3.952 | 67.235 | 30.789 |
Here suited hands face each other, QTs on one side and T9s on the other. 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.
QTs is well ahead, and T9s needs a specific kind of board to catch up. A split pot comes up on 3.95% of boards, so the wins and the equity differ by half of that.
The hand ranking puts QTs at 34 and T9s at 64 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 13,815,000 | 812,000 | 5,920,000 |
| T9s | 5,920,000 | 812,000 | 13,815,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| QTs | 2.248 | 1.487 | 3.471 | 0.445 |
| T9s | 0.445 | 3.471 | 1.487 | 2.248 |
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
Split by what the flop looks like, QTs peaks at 74.13% on rainbow flops topped by a ten or better and bottoms out at 58.80% on low rainbow flops (nine high or lower). QTs 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 | QTs wins | Ties | T9s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 72.246 | 3.772 | 23.982 | 74.132 |
| Rainbow, nine or lower | 7.042 | 57.713 | 2.182 | 40.105 | 58.804 |
| Two-tone | 46.543 | 66.467 | 3.111 | 30.422 | 68.023 |
| Monotone | 5.215 | 60.074 | 5.413 | 34.513 | 62.781 |
| Paired | 17.333 | 68.420 | 6.735 | 24.845 | 71.787 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 59.47% for QTs and 54.03% for T9s. This opponent changes them by +9.74 and -23.24 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 69.211 | 59.468 | +9.743 | 1.16384 |
| QTs, rainbow, ten or higher | 74.132 | 59.468 | +14.664 | 1.24659 |
| QTs, rainbow, nine or lower | 58.804 | 59.468 | -0.664 | 0.98883 |
| QTs, two-tone | 68.023 | 59.468 | +8.555 | 1.14386 |
| QTs, monotone | 62.781 | 59.468 | +3.313 | 1.05571 |
| QTs, paired | 71.787 | 59.468 | +12.319 | 1.20715 |
| T9s, all flops | 30.789 | 54.028 | -23.239 | 0.56987 |
| T9s, rainbow, ten or higher | 25.868 | 54.028 | -28.160 | 0.47879 |
| T9s, rainbow, nine or lower | 41.196 | 54.028 | -12.832 | 0.76249 |
| T9s, two-tone | 31.977 | 54.028 | -22.051 | 0.59186 |
| T9s, monotone | 37.219 | 54.028 | -16.809 | 0.68888 |
| T9s, paired | 28.213 | 54.028 | -25.815 | 0.52219 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | QTs wins | Ties | T9s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.235 | 3.952 | 28.813 | 69.211 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
With $100 from each side, the $200 pot is split on average as $138.42 for QTs and $61.58 for T9s; the first side gains $38.42 per all-in and the second gives up $38.42.
Out of 1,000 deals you should see around 672 outright wins for QTs, 288 for T9s, and 40 split pots.
The same matchup from the other side
T9s versus QTs is this same page seen from the other hand: 30.79% for T9s, 69.21% for QTs.
Keep exploring
Try QsTs against Th9h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 12 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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