QJo
68.81%
Wins 65.05%, ties 7.52%
Q9s
31.19%
Wins 27.43%, ties 7.52%
QJo against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 65.050 | 7.521 | 27.429 | 68.810 |
| Q9s | 27.429 | 7.521 | 65.050 | 31.190 |
We compare an offsuit hand with a suited hand. 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.
A lead of 37.62 points is large but not decisive: Q9s still takes about 274 of every 1,000 deals. The tie share is 7.52%: on those boards the pot is chopped and neither hand wins outright.
QJo ranks number 39 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 |
|---|---|---|---|
| QJo | 40,099,000 | 4,636,000 | 16,908,000 |
| Q9s | 16,908,000 | 4,636,000 | 40,099,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| QJo | 2.206 | 1.537 | 3.646 | 0.453 |
| Q9s | 0.453 | 3.646 | 1.537 | 2.206 |
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, QJo's equity runs from 60.72% on low rainbow flops (nine high or lower) up to 75.08% on rainbow flops topped by a ten or better. QJo stays ahead on all five textures.
| Flop | Share of flops | QJo wins | Ties | Q9s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.043 | 6.065 | 21.892 | 75.075 |
| Rainbow, nine or lower | 7.042 | 59.277 | 2.893 | 37.830 | 60.723 |
| Two-tone | 46.527 | 65.537 | 5.064 | 29.399 | 68.069 |
| Monotone | 5.192 | 60.959 | 5.966 | 33.075 | 63.942 |
| Paired | 17.334 | 57.667 | 18.472 | 23.861 | 66.903 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 58.14%, QJo changes by +10.67 points, and Q9s, from 57.66%, by -26.47.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 68.810 | 58.135 | +10.675 | 1.18362 |
| QJo, rainbow, ten or higher | 75.075 | 58.135 | +16.940 | 1.29139 |
| QJo, rainbow, nine or lower | 60.723 | 58.135 | +2.588 | 1.04452 |
| QJo, two-tone | 68.069 | 58.135 | +9.934 | 1.17088 |
| QJo, monotone | 63.942 | 58.135 | +5.807 | 1.09989 |
| QJo, paired | 66.903 | 58.135 | +8.768 | 1.15082 |
| Q9s, all flops | 31.190 | 57.664 | -26.474 | 0.54089 |
| Q9s, rainbow, ten or higher | 24.925 | 57.664 | -32.739 | 0.43225 |
| Q9s, rainbow, nine or lower | 39.277 | 57.664 | -18.387 | 0.68114 |
| Q9s, two-tone | 31.931 | 57.664 | -25.733 | 0.55374 |
| Q9s, monotone | 36.058 | 57.664 | -21.606 | 0.62531 |
| Q9s, paired | 33.097 | 57.664 | -24.567 | 0.57396 |
Does a shared suit matter?
When the hands share a suit, QJo holds 69.53%; when they do not, it holds 68.45%. QJo does better with a shared suit, by 1.08 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | Q9s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.708 | 7.637 | 26.655 | 69.526 |
| No shared suit | 24 | 66.67 | 64.721 | 7.463 | 27.816 | 68.452 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are QJo in one seat and Q9s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QJo takes back $137.62 of it, which is $37.62 more than it put in, and Q9s takes back $62.38, $37.62 less than it put in.
Run 1,000 deals and the tally comes out near 651 for QJo, 274 for Q9s and 75 ties.
The same matchup from the other side
The mirror image, Q9s against QJo, is 31.19% to 68.81%, and its address redirects to this page.
Keep exploring
QsJh against Qd9d 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
Nothing here is simulated. The 36 deals of QJo against Q9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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