QTs
73.17%
Wins 71.13%, ties 4.07%
T9o
26.83%
Wins 24.80%, ties 4.07%
QTs against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 71.131 | 4.069 | 24.800 | 73.166 |
| T9o | 24.800 | 4.069 | 71.131 | 26.834 |
QTs is a suited hand and T9o is an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 73.17% to 26.83%, but T9o still wins often enough that one hand proves nothing. Ties are part of the picture: 4.07% of boards end in a split pot, and each side counts that as half a win.
For context, QTs sits at number 34 of 169 starting hands and T9o at number 78 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 43,847,000 | 2,508,000 | 15,287,000 |
| T9o | 15,287,000 | 2,508,000 | 43,847,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| QTs | 2.727 | 1.406 | 4.032 | 0.367 |
| T9o | 0.367 | 4.032 | 1.406 | 2.727 |
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 76.50% on rainbow flops topped by a ten or better and bottoms out at 60.83% 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 | T9o wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.564 | 3.863 | 21.573 | 76.495 |
| Rainbow, nine or lower | 7.042 | 59.696 | 2.273 | 38.031 | 60.833 |
| Two-tone | 46.527 | 71.492 | 3.318 | 25.190 | 73.151 |
| Monotone | 5.192 | 63.503 | 4.591 | 31.906 | 65.799 |
| Paired | 17.334 | 72.359 | 6.943 | 20.698 | 75.830 |
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
Start from the random-hand figures, 59.47% for QTs and 51.53% for T9o. This opponent changes them by +13.70 and -24.70 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 73.166 | 59.468 | +13.698 | 1.23034 |
| QTs, rainbow, ten or higher | 76.495 | 59.468 | +17.027 | 1.28632 |
| QTs, rainbow, nine or lower | 60.833 | 59.468 | +1.365 | 1.02295 |
| QTs, two-tone | 73.151 | 59.468 | +13.683 | 1.23009 |
| QTs, monotone | 65.799 | 59.468 | +6.331 | 1.10646 |
| QTs, paired | 75.830 | 59.468 | +16.362 | 1.27514 |
| T9o, all flops | 26.834 | 51.532 | -24.698 | 0.52072 |
| T9o, rainbow, ten or higher | 23.505 | 51.532 | -28.027 | 0.45612 |
| T9o, rainbow, nine or lower | 39.167 | 51.532 | -12.365 | 0.76005 |
| T9o, two-tone | 26.849 | 51.532 | -24.683 | 0.52102 |
| T9o, monotone | 34.201 | 51.532 | -17.331 | 0.66368 |
| T9o, paired | 24.170 | 51.532 | -27.362 | 0.46903 |
Does a shared suit matter?
When the hands share a suit, QTs holds 72.97%; when they do not, it holds 73.27%. QTs does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | T9o wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.877 | 4.179 | 24.944 | 72.966 |
| No shared suit | 24 | 66.67 | 71.258 | 4.014 | 24.728 | 73.265 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTs' average share is $146.34 (a gain of $46.34) and T9o's is $53.66 (a loss of $46.34).
Run 1,000 deals and the tally comes out near 711 for QTs, 248 for T9o and 41 ties.
The same matchup from the other side
The reversed view, T9o against QTs, shows 26.83% for T9o and 73.17% for QTs. It is the same count, so it redirects here.
Keep exploring
Try QsTs against Th9d 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
We counted every case. Each suit pattern of the 36 specific QTs 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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