84.29%
Wins 84.11%, ties 0.36%
T9o
15.71%
Wins 15.53%, ties 0.36%
QQ against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 84.109 | 0.364 | 15.527 | 84.291 | |
| T9o | 15.527 | 0.364 | 84.109 | 15.709 |
The matchup pits a pocket pair against an offsuit hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
A gap this wide means T9o is in trouble before the flop and has few good runouts. Of every 100 boards, about 0.36 are split pots, and the equity figures already include them.
Among the 169 starting hands, QQ is number 3 and T9o is number 78 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 103,695,000 | 449,000 | 19,143,000 | |
| T9o | 19,143,000 | 449,000 | 103,695,000 |
72 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) |
|---|---|---|---|---|
| 5.366 | 1.189 | 6.440 | 0.186 | |
| T9o | 0.186 | 6.440 | 1.189 | 5.366 |
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
QQ prefers paired flops, where it holds 87.73%, and likes monotone flops least, where it holds 79.27%. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | T9o wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 84.337 | 0.176 | 15.487 | 84.425 |
| Rainbow, nine or lower | 7.042 | 82.898 | 0.836 | 16.266 | 83.316 |
| Two-tone | 46.485 | 83.486 | 0.312 | 16.202 | 83.642 |
| Monotone | 5.151 | 78.424 | 1.699 | 19.877 | 79.273 |
| Paired | 17.334 | 87.645 | 0.176 | 12.179 | 87.733 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 79.93% for QQ, 51.53% for T9o. Here the change is +4.36 and -35.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 84.291 | 79.925 | +4.366 | 1.05463 |
| QQ, rainbow, ten or higher | 84.425 | 79.925 | +4.500 | 1.05630 |
| QQ, rainbow, nine or lower | 83.316 | 79.925 | +3.391 | 1.04243 |
| QQ, two-tone | 83.642 | 79.925 | +3.717 | 1.04651 |
| QQ, monotone | 79.273 | 79.925 | -0.652 | 0.99184 |
| QQ, paired | 87.733 | 79.925 | +7.808 | 1.09769 |
| T9o, all flops | 15.709 | 51.532 | -35.823 | 0.30484 |
| T9o, rainbow, ten or higher | 15.575 | 51.532 | -35.957 | 0.30224 |
| T9o, rainbow, nine or lower | 16.684 | 51.532 | -34.848 | 0.32376 |
| T9o, two-tone | 16.358 | 51.532 | -35.174 | 0.31743 |
| T9o, monotone | 20.727 | 51.532 | -30.805 | 0.40222 |
| T9o, paired | 12.267 | 51.532 | -39.265 | 0.23805 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 84.44% equity, and with none in common it has 83.57%. QQ does better with a shared suit, by 0.87 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | T9o wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 84.245 | 0.380 | 15.375 | 84.435 |
| No shared suit | 12 | 16.67 | 83.428 | 0.285 | 16.287 | 83.570 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are QQ in one seat and T9o in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QQ averages $168.58 from the $200, up $68.58; T9o averages $31.42, down $68.58.
A thousand deals look like this: QQ takes 841, T9o takes 155, 4 are ties.
The same matchup from the other side
T9o against QQ adds nothing new: it is 15.71% for T9o and 84.29% for QQ, the same figures reversed.
Keep exploring
Try QsQh against Td9c 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
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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