84.17%
Wins 83.38%, ties 1.59%
QJs
15.83%
Wins 15.03%, ties 1.59%
QQ against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 83.380 | 1.586 | 15.034 | 84.173 | |
| QJs | 15.034 | 1.586 | 83.380 | 15.827 |
QQ is a pocket pair and QJs 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.
That is a heavy lead: QJs needs the board to help it on most runouts and still falls behind far more often than not. Split pots make up 1.59% of the boards, and both equity figures count them as half a win each.
QQ ranks number 3 of 169 starting hands, and QJs ranks number 28, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 17,133,000 | 326,000 | 3,089,000 | |
| QJs | 3,089,000 | 326,000 | 17,133,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 5.318 | 1.199 | 6.652 | 0.188 | |
| QJs | 0.188 | 6.652 | 1.199 | 5.318 |
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
By flop texture, QQ's equity runs from 75.11% on monotone flops up to 92.74% on low rainbow flops (nine high or lower). 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 | QJs wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 84.311 | 1.897 | 13.792 | 85.259 |
| Rainbow, nine or lower | 7.771 | 92.073 | 1.340 | 6.587 | 92.743 |
| Two-tone | 46.236 | 81.729 | 1.616 | 16.655 | 82.537 |
| Monotone | 5.151 | 73.823 | 2.578 | 23.599 | 75.112 |
| Paired | 17.831 | 85.433 | 0.924 | 13.643 | 85.895 |
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
Relative to a random opponent, QQ changes by +4.24 points (baseline 79.93%) and QJs by -44.43 points (baseline 60.26%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 84.173 | 79.925 | +4.248 | 1.05315 |
| QQ, rainbow, ten or higher | 85.259 | 79.925 | +5.334 | 1.06674 |
| QQ, rainbow, nine or lower | 92.743 | 79.925 | +12.818 | 1.16038 |
| QQ, two-tone | 82.537 | 79.925 | +2.612 | 1.03268 |
| QQ, monotone | 75.112 | 79.925 | -4.813 | 0.93978 |
| QQ, paired | 85.895 | 79.925 | +5.970 | 1.07470 |
| QJs, all flops | 15.827 | 60.259 | -44.432 | 0.26265 |
| QJs, rainbow, ten or higher | 14.741 | 60.259 | -45.518 | 0.24463 |
| QJs, rainbow, nine or lower | 7.257 | 60.259 | -53.002 | 0.12043 |
| QJs, two-tone | 17.463 | 60.259 | -42.796 | 0.28980 |
| QJs, monotone | 24.888 | 60.259 | -35.371 | 0.41302 |
| QJs, paired | 14.105 | 60.259 | -46.154 | 0.23407 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | QQ wins | Ties | QJs wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 83.380 | 1.586 | 15.034 | 84.173 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
With $100 from each side, the $200 pot is split on average as $168.34 for QQ and $31.66 for QJs; the first side gains $68.34 per all-in and the second gives up $68.34.
A thousand deals look like this: QQ takes 834, QJs takes 150, 16 are ties.
The same matchup from the other side
Swap the hands and you get QJs with 15.83% against QQ with 84.17%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with QsQh against QdJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of QQ against QJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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