85.54%
Wins 84.70%, ties 1.67%
Q9s
14.46%
Wins 13.63%, ties 1.67%
QQ against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 84.702 | 1.673 | 13.625 | 85.539 | |
| Q9s | 13.625 | 1.673 | 84.702 | 14.461 |
One side is a pocket pair, the other is a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
QQ is a big favorite here before anyone sees a flop. The tie share is 1.67%: on those boards the pot is chopped and neither hand wins outright.
Place 3 of 169 belongs to QQ and place 43 belongs to Q9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 17,404,000 | 344,000 | 2,800,000 | |
| Q9s | 2,800,000 | 344,000 | 17,404,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| 5.915 | 1.181 | 7.339 | 0.169 | |
| Q9s | 0.169 | 7.339 | 1.181 | 5.915 |
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
Break the boards down by their first three cards and QQ is strongest on low rainbow flops (nine high or lower) (90.52%) and weakest on monotone flops (76.06%). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | Q9s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 87.198 | 2.069 | 10.733 | 88.232 |
| Rainbow, nine or lower | 7.042 | 89.924 | 1.191 | 8.885 | 90.520 |
| Two-tone | 46.236 | 83.135 | 1.703 | 15.162 | 83.987 |
| Monotone | 5.151 | 74.754 | 2.611 | 22.635 | 76.059 |
| Paired | 17.831 | 86.255 | 0.988 | 12.757 | 86.749 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +5.61 points for QQ, from 79.93%, and -43.20 for Q9s, from 57.66%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 85.539 | 79.925 | +5.614 | 1.07024 |
| QQ, rainbow, ten or higher | 88.232 | 79.925 | +8.307 | 1.10393 |
| QQ, rainbow, nine or lower | 90.520 | 79.925 | +10.595 | 1.13256 |
| QQ, two-tone | 83.987 | 79.925 | +4.062 | 1.05082 |
| QQ, monotone | 76.059 | 79.925 | -3.866 | 0.95163 |
| QQ, paired | 86.749 | 79.925 | +6.824 | 1.08538 |
| Q9s, all flops | 14.461 | 57.664 | -43.203 | 0.25078 |
| Q9s, rainbow, ten or higher | 11.768 | 57.664 | -45.896 | 0.20408 |
| Q9s, rainbow, nine or lower | 9.480 | 57.664 | -48.184 | 0.16440 |
| Q9s, two-tone | 16.013 | 57.664 | -41.651 | 0.27769 |
| Q9s, monotone | 23.941 | 57.664 | -33.723 | 0.41518 |
| Q9s, paired | 13.251 | 57.664 | -44.413 | 0.22980 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so QQ's 85.54% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | QQ wins | Ties | Q9s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 84.702 | 1.673 | 13.625 | 85.539 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Take a $200 pot built from $100 each. QQ's equity of 85.54% is worth $171.08, a $71.08 edge, and Q9s' 14.46% is worth $28.92, which is $71.08 under its stake.
A thousand deals look like this: QQ takes 847, Q9s takes 136, 17 are ties.
The same matchup from the other side
Q9s against QQ adds nothing new: it is 14.46% for Q9s and 85.54% for QQ, the same figures reversed.
Keep exploring
The calculator link fills in QsQh against Qd9d, 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
Method: exact enumeration. The 12 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session