80.43%
Wins 80.24%, ties 0.38%
T8s
19.57%
Wins 19.38%, ties 0.38%
QQ against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 80.235 | 0.380 | 19.385 | 80.425 | |
| T8s | 19.385 | 0.380 | 80.235 | 19.575 |
QQ, a pocket pair, plays T8s, a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
That is a heavy lead: T8s needs the board to help it on most runouts and still falls behind far more often than not. Of every 100 boards, about 0.38 are split pots, and the equity figures already include them.
Place 3 of 169 belongs to QQ and place 73 belongs to T8s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,973,000 | 156,000 | 7,966,000 | |
| T8s | 7,966,000 | 156,000 | 32,973,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 4.109 | 1.246 | 5.159 | 0.243 | |
| T8s | 0.243 | 5.159 | 1.246 | 4.109 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, QQ peaks at 84.14% on paired flops and bottoms out at 74.73% on monotone flops. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | T8s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 82.850 | 0.177 | 16.973 | 82.938 |
| Rainbow, nine or lower | 7.042 | 79.018 | 0.730 | 20.252 | 79.383 |
| Two-tone | 46.545 | 78.410 | 0.281 | 21.309 | 78.550 |
| Monotone | 5.212 | 73.533 | 2.384 | 24.083 | 74.725 |
| Paired | 17.334 | 84.046 | 0.177 | 15.777 | 84.135 |
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
How much does the opponent matter? Compared with its random-hand 79.93%, QQ changes by +0.50 points, and T8s, from 52.33%, by -32.76.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 80.425 | 79.925 | +0.500 | 1.00626 |
| QQ, rainbow, ten or higher | 82.938 | 79.925 | +3.013 | 1.03770 |
| QQ, rainbow, nine or lower | 79.383 | 79.925 | -0.542 | 0.99322 |
| QQ, two-tone | 78.550 | 79.925 | -1.375 | 0.98280 |
| QQ, monotone | 74.725 | 79.925 | -5.200 | 0.93494 |
| QQ, paired | 84.135 | 79.925 | +4.210 | 1.05267 |
| T8s, all flops | 19.575 | 52.334 | -32.759 | 0.37404 |
| T8s, rainbow, ten or higher | 17.062 | 52.334 | -35.272 | 0.32602 |
| T8s, rainbow, nine or lower | 20.617 | 52.334 | -31.717 | 0.39395 |
| T8s, two-tone | 21.450 | 52.334 | -30.884 | 0.40987 |
| T8s, monotone | 25.275 | 52.334 | -27.059 | 0.48296 |
| T8s, paired | 15.865 | 52.334 | -36.469 | 0.30315 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QQ holds 81.00%. In 12 they do not, and it holds 79.85%. QQ does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | T8s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.789 | 0.421 | 18.790 | 80.999 |
| No shared suit | 12 | 50.00 | 79.681 | 0.339 | 19.980 | 79.851 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QQ against T8s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $160.86 back, ahead of its $100 by $60.86, while T8s averages $39.14, short of its $100 by $60.86.
Run 1,000 deals and the tally comes out near 802 for QQ, 194 for T8s and 4 ties.
The same matchup from the other side
The mirror image, T8s against QQ, is 19.57% to 80.43%, and its address redirects to this page.
Keep exploring
QsQh against Td8d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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