QJs
69.97%
Wins 66.38%, ties 7.19%
Q9s
30.03%
Wins 26.43%, ties 7.19%
QJs against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 66.379 | 7.189 | 26.432 | 69.974 |
| Q9s | 26.432 | 7.189 | 66.379 | 30.026 |
This is a contest between two suited hands, QJs and Q9s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
QJs is well ahead, and Q9s needs a specific kind of board to catch up. A split pot comes up on 7.19% of boards, so the wins and the equity differ by half of that.
QJs ranks number 28 of 169 starting hands, and Q9s ranks number 43, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 13,639,000 | 1,477,000 | 5,431,000 |
| Q9s | 5,431,000 | 1,477,000 | 13,639,000 |
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) |
|---|---|---|---|---|
| QJs | 2.330 | 1.507 | 3.783 | 0.429 |
| Q9s | 0.429 | 3.783 | 1.507 | 2.330 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures QJs' equity moves by 13.59 points, from 62.08% on low rainbow flops (nine high or lower) to 75.67% on rainbow flops topped by a ten or better. QJs stays ahead on all five textures.
| Flop | Share of flops | QJs wins | Ties | Q9s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 72.706 | 5.917 | 21.377 | 75.665 |
| Rainbow, nine or lower | 7.042 | 60.689 | 2.790 | 36.521 | 62.084 |
| Two-tone | 46.543 | 67.239 | 4.741 | 28.020 | 69.610 |
| Monotone | 5.215 | 60.672 | 6.396 | 32.932 | 63.870 |
| Paired | 17.333 | 59.389 | 17.536 | 23.075 | 68.157 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts QJs from 60.26% by +9.71 points and Q9s from 57.66% by -27.63 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 69.974 | 60.259 | +9.715 | 1.16122 |
| QJs, rainbow, ten or higher | 75.665 | 60.259 | +15.406 | 1.25566 |
| QJs, rainbow, nine or lower | 62.084 | 60.259 | +1.825 | 1.03029 |
| QJs, two-tone | 69.610 | 60.259 | +9.351 | 1.15518 |
| QJs, monotone | 63.870 | 60.259 | +3.611 | 1.05992 |
| QJs, paired | 68.157 | 60.259 | +7.898 | 1.13107 |
| Q9s, all flops | 30.026 | 57.664 | -27.638 | 0.52071 |
| Q9s, rainbow, ten or higher | 24.335 | 57.664 | -33.329 | 0.42201 |
| Q9s, rainbow, nine or lower | 37.916 | 57.664 | -19.748 | 0.65753 |
| Q9s, two-tone | 30.390 | 57.664 | -27.274 | 0.52702 |
| Q9s, monotone | 36.130 | 57.664 | -21.534 | 0.62656 |
| Q9s, paired | 31.843 | 57.664 | -25.821 | 0.55222 |
Does a shared suit matter?
Every legal deal of QJs against Q9s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | QJs wins | Ties | Q9s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.379 | 7.189 | 26.432 | 69.974 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QJs' average share is $139.94 (a gain of $39.94) and Q9s' is $60.06 (a loss of $39.94).
Out of 1,000 deals you should see around 664 outright wins for QJs, 264 for Q9s, and 72 split pots.
The same matchup from the other side
Q9s versus QJs is this same page seen from the other hand: 30.03% for Q9s, 69.97% for QJs.
Keep exploring
Try QsJs against Qh9h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 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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