QTo
72.26%
Wins 70.16%, ties 4.19%
T9o
27.74%
Wins 25.65%, ties 4.19%
QTo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 70.164 | 4.185 | 25.651 | 72.256 |
| T9o | 25.651 | 4.185 | 70.164 | 27.744 |
Here offsuit hands face each other, QTo on one side and T9o on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 44.52 points is large but not decisive: T9o still takes about 256 of every 1,000 deals. A split pot comes up on 4.19% of boards, so the wins and the equity differ by half of that.
The hand ranking puts QTo at 47 and T9o at 78 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 129,753,000 | 7,739,000 | 47,436,000 |
| T9o | 47,436,000 | 7,739,000 | 129,753,000 |
108 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| QTo | 2.604 | 1.425 | 3.898 | 0.384 |
| T9o | 0.384 | 3.898 | 1.425 | 2.604 |
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
Rainbow flops topped by a ten or better are the best for QTo (75.79%); low rainbow flops (nine high or lower) are the worst (59.38%). QTo 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 | QTo wins | Ties | T9o wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 73.822 | 3.934 | 22.244 | 75.789 |
| Rainbow, nine or lower | 7.042 | 58.196 | 2.368 | 39.436 | 59.380 |
| Two-tone | 46.477 | 69.990 | 3.490 | 26.520 | 71.735 |
| Monotone | 5.144 | 66.858 | 4.126 | 29.016 | 68.921 |
| Paired | 17.334 | 71.409 | 7.152 | 21.439 | 74.985 |
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
Against one random hand instead, QTo holds 57.29% and T9o holds 51.53%. Facing each other changes that by +14.97 points for QTo and -23.79 points for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 72.256 | 57.291 | +14.965 | 1.26121 |
| QTo, rainbow, ten or higher | 75.789 | 57.291 | +18.498 | 1.32288 |
| QTo, rainbow, nine or lower | 59.380 | 57.291 | +2.089 | 1.03646 |
| QTo, two-tone | 71.735 | 57.291 | +14.444 | 1.25212 |
| QTo, monotone | 68.921 | 57.291 | +11.630 | 1.20300 |
| QTo, paired | 74.985 | 57.291 | +17.694 | 1.30884 |
| T9o, all flops | 27.744 | 51.532 | -23.788 | 0.53838 |
| T9o, rainbow, ten or higher | 24.211 | 51.532 | -27.321 | 0.46982 |
| T9o, rainbow, nine or lower | 40.620 | 51.532 | -10.912 | 0.78825 |
| T9o, two-tone | 28.265 | 51.532 | -23.267 | 0.54849 |
| T9o, monotone | 31.079 | 51.532 | -20.453 | 0.60310 |
| T9o, paired | 25.015 | 51.532 | -26.517 | 0.48543 |
Does a shared suit matter?
Split by suits, the deals give QTo 72.42% when the hands overlap in a suit and 71.68% when they do not. QTo does better with a shared suit, by 0.74 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | T9o wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 70.312 | 4.217 | 25.471 | 72.421 |
| No shared suit | 24 | 22.22 | 69.644 | 4.073 | 26.283 | 71.681 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are QTo in one seat and T9o in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
Put $100 each into a $200 pot and deal every board once: QTo averages $144.52 back, ahead of its $100 by $44.52, while T9o averages $55.48, short of its $100 by $44.52.
Out of 1,000 deals you should see around 702 outright wins for QTo, 256 for T9o, and 42 split pots.
The same matchup from the other side
The mirror image, T9o against QTo, is 27.74% to 72.26%, and its address redirects to this page.
Keep exploring
QsTh against Td9c 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 108 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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