Q9s
68.78%
Wins 66.97%, ties 3.63%
T9s
31.22%
Wins 29.40%, ties 3.63%
Q9s against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 66.965 | 3.626 | 29.409 | 68.778 |
| T9s | 29.409 | 3.626 | 66.965 | 31.222 |
Here suited hands face each other, Q9s 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.
That is a clear edge, 68.78% to 31.22%, but T9s still wins often enough that one hand proves nothing. The tie share is 3.63%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, Q9s is number 43 and T9s is number 64 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 13,760,000 | 745,000 | 6,043,000 |
| T9s | 6,043,000 | 745,000 | 13,760,000 |
12 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) |
|---|---|---|---|---|
| Q9s | 2.203 | 1.493 | 3.400 | 0.454 |
| T9s | 0.454 | 3.400 | 1.493 | 2.203 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. Q9s does best on low rainbow flops (nine high or lower), at 75.84%, and worst on monotone flops, at 62.43%. Q9s stays ahead on all five textures.
| Flop | Share of flops | Q9s wins | Ties | T9s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 67.199 | 3.075 | 29.726 | 68.736 |
| Rainbow, nine or lower | 6.314 | 74.497 | 2.693 | 22.810 | 75.843 |
| Two-tone | 46.543 | 66.231 | 2.750 | 31.019 | 67.606 |
| Monotone | 5.215 | 59.854 | 5.144 | 35.002 | 62.426 |
| Paired | 17.333 | 68.000 | 6.645 | 25.355 | 71.322 |
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
Relative to a random opponent, Q9s changes by +11.12 points (baseline 57.66%) and T9s by -22.81 points (baseline 54.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 68.778 | 57.664 | +11.114 | 1.19274 |
| Q9s, rainbow, ten or higher | 68.736 | 57.664 | +11.072 | 1.19201 |
| Q9s, rainbow, nine or lower | 75.843 | 57.664 | +18.179 | 1.31526 |
| Q9s, two-tone | 67.606 | 57.664 | +9.942 | 1.17241 |
| Q9s, monotone | 62.426 | 57.664 | +4.762 | 1.08258 |
| Q9s, paired | 71.322 | 57.664 | +13.658 | 1.23685 |
| T9s, all flops | 31.222 | 54.028 | -22.806 | 0.57789 |
| T9s, rainbow, ten or higher | 31.264 | 54.028 | -22.764 | 0.57866 |
| T9s, rainbow, nine or lower | 24.157 | 54.028 | -29.871 | 0.44712 |
| T9s, two-tone | 32.394 | 54.028 | -21.634 | 0.59958 |
| T9s, monotone | 37.574 | 54.028 | -16.454 | 0.69545 |
| T9s, paired | 28.678 | 54.028 | -25.350 | 0.53080 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | T9s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.965 | 3.626 | 29.409 | 68.778 |
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
Take a $200 pot built from $100 each. Q9s' equity of 68.78% is worth $137.56, a $37.56 edge, and T9s' 31.22% is worth $62.44, which is $37.56 under its stake.
Think in thousands: about 670 of 1,000 go to Q9s, about 294 go to T9s, and about 36 are chopped.
The same matchup from the other side
T9s versus Q9s is this same page seen from the other hand: 31.22% for T9s, 68.78% for Q9s.
Keep exploring
The calculator link fills in Qs9s against Th9h, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of Q9s against T9s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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