80.29%
Wins 80.10%, ties 0.39%
T9s
19.71%
Wins 19.51%, ties 0.39%
QQ against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 80.097 | 0.386 | 19.517 | 80.290 | |
| T9s | 19.517 | 0.386 | 80.097 | 19.710 |
The first hand is a pocket pair; the second is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
QQ is a big favorite here before anyone sees a flop. A split pot comes up on 0.39% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, QQ is number 3 and T9s is number 64 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,916,000 | 159,000 | 8,021,000 | |
| T9s | 8,021,000 | 159,000 | 32,916,000 |
24 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) |
|---|---|---|---|---|
| 4.074 | 1.248 | 5.124 | 0.245 | |
| T9s | 0.245 | 5.124 | 1.248 | 4.074 |
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, QQ peaks at 84.24% on paired flops and bottoms out at 74.53% on monotone flops. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | T9s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 82.189 | 0.168 | 17.643 | 82.273 |
| Rainbow, nine or lower | 7.042 | 80.398 | 0.800 | 18.802 | 80.798 |
| Two-tone | 46.545 | 78.228 | 0.288 | 21.484 | 78.372 |
| Monotone | 5.212 | 73.337 | 2.387 | 24.276 | 74.530 |
| Paired | 17.334 | 84.148 | 0.176 | 15.676 | 84.236 |
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, QQ holds 79.93% and T9s holds 54.03%. Facing each other changes that by +0.36 points for QQ and -34.32 points for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 80.290 | 79.925 | +0.365 | 1.00457 |
| QQ, rainbow, ten or higher | 82.273 | 79.925 | +2.348 | 1.02938 |
| QQ, rainbow, nine or lower | 80.798 | 79.925 | +0.873 | 1.01092 |
| QQ, two-tone | 78.372 | 79.925 | -1.553 | 0.98057 |
| QQ, monotone | 74.530 | 79.925 | -5.395 | 0.93250 |
| QQ, paired | 84.236 | 79.925 | +4.311 | 1.05394 |
| T9s, all flops | 19.710 | 54.028 | -34.318 | 0.36481 |
| T9s, rainbow, ten or higher | 17.727 | 54.028 | -36.301 | 0.32811 |
| T9s, rainbow, nine or lower | 19.202 | 54.028 | -34.826 | 0.35541 |
| T9s, two-tone | 21.628 | 54.028 | -32.400 | 0.40031 |
| T9s, monotone | 25.470 | 54.028 | -28.558 | 0.47142 |
| T9s, paired | 15.764 | 54.028 | -38.264 | 0.29177 |
Does a shared suit matter?
The suit split reads 80.85% for QQ with a shared suit and 79.73% without one. QQ does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | T9s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.634 | 0.426 | 18.940 | 80.847 |
| No shared suit | 12 | 50.00 | 79.561 | 0.345 | 20.094 | 79.733 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QQ is worth $160.58 on average (+$60.58); T9s is worth $39.42 (-$60.58).
Scaled to 1,000 deals, that is roughly 801 wins for QQ, 195 for T9s and 4 chopped pots.
The same matchup from the other side
Read it from the other side: T9s against QQ is the same matchup with the numbers swapped, so T9s holds 19.71% and QQ holds 80.29%. That address sends you back to this page.
Keep exploring
The calculator link fills in QsQh against Td9d, 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
Nothing here is simulated. The 24 deals of QQ against T9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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