QTs
31.31%
Wins 27.44%, ties 7.75%
QJo
68.69%
Wins 64.81%, ties 7.75%
QTs against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 27.441 | 7.745 | 64.814 | 31.313 |
| QJo | 64.814 | 7.745 | 27.441 | 68.687 |
The first hand is a suited hand; the second is an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
QJo is the clear favorite, though QTs gets there on roughly one board in 3. 7.75% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, QTs holds place 34 of 169 and QJo holds place 39.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 16,915,000 | 4,774,000 | 39,953,000 |
| QJo | 39,953,000 | 4,774,000 | 16,915,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QTs | 0.456 | 3.644 | 1.543 | 2.194 |
| QJo | 2.194 | 1.543 | 3.644 | 0.456 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, QJo peaks at 81.27% on low rainbow flops (nine high or lower) and bottoms out at 63.92% 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 | QTs wins | Ties | QJo wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 28.448 | 6.123 | 65.429 | 31.509 |
| Rainbow, nine or lower | 7.771 | 16.884 | 3.684 | 79.432 | 18.726 |
| Two-tone | 46.527 | 29.378 | 5.229 | 65.393 | 31.993 |
| Monotone | 5.192 | 33.031 | 6.100 | 60.869 | 36.081 |
| Paired | 17.333 | 23.953 | 18.978 | 57.069 | 33.442 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 59.47% for QTs and 58.14% for QJo. This opponent changes them by -28.16 and +10.55 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 31.313 | 59.468 | -28.155 | 0.52655 |
| QTs, rainbow, ten or higher | 31.509 | 59.468 | -27.959 | 0.52985 |
| QTs, rainbow, nine or lower | 18.726 | 59.468 | -40.742 | 0.31489 |
| QTs, two-tone | 31.993 | 59.468 | -27.475 | 0.53799 |
| QTs, monotone | 36.081 | 59.468 | -23.387 | 0.60673 |
| QTs, paired | 33.442 | 59.468 | -26.026 | 0.56235 |
| QJo, all flops | 68.687 | 58.135 | +10.552 | 1.18151 |
| QJo, rainbow, ten or higher | 68.491 | 58.135 | +10.356 | 1.17814 |
| QJo, rainbow, nine or lower | 81.274 | 58.135 | +23.139 | 1.39802 |
| QJo, two-tone | 68.007 | 58.135 | +9.872 | 1.16981 |
| QJo, monotone | 63.919 | 58.135 | +5.784 | 1.09949 |
| QJo, paired | 66.558 | 58.135 | +8.423 | 1.14489 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QJo holds 69.34%. In 24 they do not, and it holds 68.36%. QJo does better with a shared suit, by 0.98 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | QJo wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.737 | 7.852 | 65.411 | 30.663 |
| No shared suit | 24 | 66.67 | 27.793 | 7.691 | 64.516 | 31.638 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are QTs in one seat and QJo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: QJo averages $137.38 back, ahead of its $100 by $37.38, while QTs averages $62.62, short of its $100 by $37.38.
Over a long run, 1,000 deals split into about 648 for QJo, 274 for QTs and 78 tied.
The same matchup from the other side
If you came looking for QJo against QTs, the numbers are the same with the hands swapped: 68.69% and 31.31%.
Keep exploring
Try QsTs against QhJd 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
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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