QJo
72.78%
Wins 68.73%, ties 8.11%
QTo
27.22%
Wins 23.16%, ties 8.11%
QJo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 68.726 | 8.106 | 23.168 | 72.779 |
| QTo | 23.168 | 8.106 | 68.726 | 27.221 |
Each side holds one of the offsuit hands: QJo and QTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 45.56 points is large but not decisive: QTo still takes about 232 of every 1,000 deals. A split pot comes up on 8.11% of boards, so the wins and the equity differ by half of that.
The hand ranking puts QJo at 39 and QTo at 47 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 127,094,000 | 14,990,000 | 42,844,000 |
| QTo | 42,844,000 | 14,990,000 | 127,094,000 |
The board total is exact, 108 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 | 2.674 | 1.455 | 4.316 | 0.374 |
| QTo | 0.374 | 4.316 | 1.455 | 2.674 |
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
If you know the kind of flop that came, the numbers shift: QJo holds 84.23% on low rainbow flops (nine high or lower) and 68.03% on monotone flops. QJo 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 | QJo wins | Ties | QTo wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 67.521 | 6.252 | 26.227 | 70.647 |
| Rainbow, nine or lower | 7.771 | 82.327 | 3.806 | 13.867 | 84.230 |
| Two-tone | 46.477 | 70.573 | 5.552 | 23.875 | 73.349 |
| Monotone | 5.144 | 64.982 | 6.104 | 28.914 | 68.034 |
| Paired | 17.333 | 60.407 | 19.964 | 19.629 | 70.389 |
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
Start from the random-hand figures, 58.14% for QJo and 57.29% for QTo. This opponent changes them by +14.64 and -30.07 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 72.779 | 58.135 | +14.644 | 1.25190 |
| QJo, rainbow, ten or higher | 70.647 | 58.135 | +12.512 | 1.21522 |
| QJo, rainbow, nine or lower | 84.230 | 58.135 | +26.095 | 1.44887 |
| QJo, two-tone | 73.349 | 58.135 | +15.214 | 1.26170 |
| QJo, monotone | 68.034 | 58.135 | +9.899 | 1.17028 |
| QJo, paired | 70.389 | 58.135 | +12.254 | 1.21079 |
| QTo, all flops | 27.221 | 57.291 | -30.070 | 0.47514 |
| QTo, rainbow, ten or higher | 29.353 | 57.291 | -27.938 | 0.51235 |
| QTo, rainbow, nine or lower | 15.770 | 57.291 | -41.521 | 0.27526 |
| QTo, two-tone | 26.651 | 57.291 | -30.640 | 0.46519 |
| QTo, monotone | 31.966 | 57.291 | -25.325 | 0.55796 |
| QTo, paired | 29.611 | 57.291 | -27.680 | 0.51685 |
Does a shared suit matter?
Split by suits, the deals give QJo 72.88% when the hands overlap in a suit and 72.42% when they do not. QJo does better with a shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | QTo wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 68.813 | 8.139 | 23.048 | 72.883 |
| No shared suit | 24 | 22.22 | 68.422 | 7.990 | 23.588 | 72.417 |
How often this matchup comes up
Exactly 108 specific deals fit this matchup in one seat order, which is 0.0066% of 1,624,350; both orders together give 216, or 0.0133%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QJo is worth $145.56 on average (+$45.56); QTo is worth $54.44 (-$45.56).
Run 1,000 deals and the tally comes out near 687 for QJo, 232 for QTo and 81 ties.
The same matchup from the other side
QTo against QJo adds nothing new: it is 27.22% for QTo and 72.78% for QJo, the same figures reversed.
Keep exploring
QsJh against QdTc 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 108 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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