79.38%
Wins 79.20%, ties 0.37%
97s
20.62%
Wins 20.43%, ties 0.37%
QQ against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 79.199 | 0.370 | 20.431 | 79.384 | |
| 97s | 20.431 | 0.370 | 79.199 | 20.616 |
We compare a pocket pair with a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
QQ is well ahead, and 97s needs a specific kind of board to catch up. Ties are 0.37% of the outcomes here; each tied board gives both hands half the pot.
Place 3 of 169 belongs to QQ and place 94 belongs to 97s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,547,000 | 152,000 | 8,396,000 | |
| 97s | 8,396,000 | 152,000 | 32,547,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 3.851 | 1.263 | 4.895 | 0.260 | |
| 97s | 0.260 | 4.895 | 1.263 | 3.851 |
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
Split by what the flop looks like, QQ peaks at 83.47% on rainbow flops topped by a ten or better and bottoms out at 71.33% on low rainbow flops (nine high or lower). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | 97s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.378 | 0.192 | 16.430 | 83.474 |
| Rainbow, nine or lower | 6.314 | 71.002 | 0.661 | 28.337 | 71.332 |
| Two-tone | 46.545 | 77.378 | 0.270 | 22.352 | 77.513 |
| Monotone | 5.212 | 72.838 | 2.380 | 24.782 | 74.028 |
| Paired | 17.334 | 83.059 | 0.176 | 16.765 | 83.147 |
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
The table below sets each hand against its own random-hand baseline: a change of -0.55 points for QQ, from 79.93%, and -28.50 for 97s, from 49.12%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 79.384 | 79.925 | -0.541 | 0.99323 |
| QQ, rainbow, ten or higher | 83.474 | 79.925 | +3.549 | 1.04440 |
| QQ, rainbow, nine or lower | 71.332 | 79.925 | -8.593 | 0.89249 |
| QQ, two-tone | 77.513 | 79.925 | -2.412 | 0.96982 |
| QQ, monotone | 74.028 | 79.925 | -5.897 | 0.92622 |
| QQ, paired | 83.147 | 79.925 | +3.222 | 1.04031 |
| 97s, all flops | 20.616 | 49.118 | -28.502 | 0.41972 |
| 97s, rainbow, ten or higher | 16.526 | 49.118 | -32.592 | 0.33646 |
| 97s, rainbow, nine or lower | 28.668 | 49.118 | -20.450 | 0.58366 |
| 97s, two-tone | 22.487 | 49.118 | -26.631 | 0.45782 |
| 97s, monotone | 25.972 | 49.118 | -23.146 | 0.52877 |
| 97s, paired | 16.853 | 49.118 | -32.265 | 0.34311 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 79.96% equity, and with none in common it has 78.81%. QQ does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 97s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.757 | 0.412 | 19.831 | 79.963 |
| No shared suit | 12 | 50.00 | 78.641 | 0.327 | 21.032 | 78.805 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QQ takes back $158.76 of it, which is $58.76 more than it put in, and 97s takes back $41.24, $58.76 less than it put in.
Think in thousands: about 792 of 1,000 go to QQ, about 204 go to 97s, and about 4 are chopped.
The same matchup from the other side
The reversed view, 97s against QQ, shows 20.62% for 97s and 79.38% for QQ. It is the same count, so it redirects here.
Keep exploring
Open the calculator with QsQh against 9d7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 24 specific QQ against 97s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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