78.26%
Wins 78.08%, ties 0.37%
87s
21.74%
Wins 21.55%, ties 0.37%
QQ against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 78.076 | 0.366 | 21.558 | 78.259 | |
| 87s | 21.558 | 0.366 | 78.076 | 21.741 |
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 the clear favorite, though 87s gets there on roughly one board in 5. About 0.37% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 3 of 169 belongs to QQ and place 100 belongs to 87s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,086,000 | 150,000 | 8,859,000 | |
| 87s | 8,859,000 | 150,000 | 32,086,000 |
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) |
|---|---|---|---|---|
| 3.600 | 1.281 | 4.639 | 0.278 | |
| 87s | 0.278 | 4.639 | 1.281 | 3.600 |
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
Break the boards down by their first three cards and QQ is strongest on rainbow flops topped by a ten or better (82.80%) and weakest on low rainbow flops (nine high or lower) (67.78%). QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | QQ wins | Ties | 87s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 82.695 | 0.202 | 17.103 | 82.796 |
| Rainbow, nine or lower | 6.314 | 67.482 | 0.593 | 31.925 | 67.779 |
| Two-tone | 46.545 | 76.211 | 0.266 | 23.523 | 76.344 |
| Monotone | 5.212 | 71.968 | 2.380 | 25.652 | 73.158 |
| Paired | 17.334 | 82.229 | 0.177 | 17.594 | 82.317 |
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
Compared with a random opponent, this matchup shifts QQ from 79.93% by -1.67 points and 87s from 47.94% by -26.20 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 78.259 | 79.925 | -1.666 | 0.97916 |
| QQ, rainbow, ten or higher | 82.796 | 79.925 | +2.871 | 1.03592 |
| QQ, rainbow, nine or lower | 67.779 | 79.925 | -12.146 | 0.84803 |
| QQ, two-tone | 76.344 | 79.925 | -3.581 | 0.95520 |
| QQ, monotone | 73.158 | 79.925 | -6.767 | 0.91533 |
| QQ, paired | 82.317 | 79.925 | +2.392 | 1.02993 |
| 87s, all flops | 21.741 | 47.936 | -26.195 | 0.45354 |
| 87s, rainbow, ten or higher | 17.204 | 47.936 | -30.732 | 0.35890 |
| 87s, rainbow, nine or lower | 32.221 | 47.936 | -15.715 | 0.67217 |
| 87s, two-tone | 23.656 | 47.936 | -24.280 | 0.49349 |
| 87s, monotone | 26.842 | 47.936 | -21.094 | 0.55995 |
| 87s, paired | 17.683 | 47.936 | -30.253 | 0.36889 |
Does a shared suit matter?
Split by suits, the deals give QQ 78.83% when the hands overlap in a suit and 77.69% when they do not. QQ does better with a shared suit, by 1.14 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 87s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 78.622 | 0.408 | 20.970 | 78.826 |
| No shared suit | 12 | 50.00 | 77.531 | 0.323 | 22.146 | 77.693 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $156.52 of it on average and 87s gets $43.48.
A thousand deals look like this: QQ takes 781, 87s takes 215, 4 are ties.
The same matchup from the other side
The mirror image, 87s against QQ, is 21.74% to 78.26%, and its address redirects to this page.
Keep exploring
QsQh against 8d7d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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