JJ
70.83%
Wins 70.63%, ties 0.39%
QTo
29.17%
Wins 28.98%, ties 0.39%
JJ against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 70.632 | 0.392 | 28.976 | 70.828 |
| QTo | 28.976 | 0.392 | 70.632 | 29.172 |
The matchup pits a pocket pair against an offsuit hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
That is a clear edge, 70.83% to 29.17%, but QTo still wins often enough that one hand proves nothing. A split pot comes up on 0.39% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and QTo is number 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 87,079,000 | 483,000 | 35,723,000 |
| QTo | 35,723,000 | 483,000 | 87,079,000 |
The board total is exact, 72 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) |
|---|---|---|---|---|
| JJ | 2.428 | 1.416 | 3.451 | 0.412 |
| QTo | 0.412 | 3.451 | 1.416 | 2.428 |
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, JJ's equity runs from 66.00% on rainbow flops topped by a ten or better up to 83.81% on low rainbow flops (nine high or lower). JJ 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 | JJ wins | Ties | QTo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 65.931 | 0.144 | 33.925 | 66.003 |
| Rainbow, nine or lower | 7.771 | 83.321 | 0.981 | 15.698 | 83.811 |
| Two-tone | 46.485 | 69.800 | 0.339 | 29.861 | 69.970 |
| Monotone | 5.151 | 65.233 | 1.718 | 33.049 | 66.092 |
| Paired | 17.333 | 75.084 | 0.210 | 24.706 | 75.189 |
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
The table below sets each hand against its own random-hand baseline: a change of -6.64 points for JJ, from 77.47%, and -28.12 for QTo, from 57.29%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 70.828 | 77.469 | -6.641 | 0.91428 |
| JJ, rainbow, ten or higher | 66.003 | 77.469 | -11.466 | 0.85199 |
| JJ, rainbow, nine or lower | 83.811 | 77.469 | +6.342 | 1.08187 |
| JJ, two-tone | 69.970 | 77.469 | -7.499 | 0.90320 |
| JJ, monotone | 66.092 | 77.469 | -11.377 | 0.85314 |
| JJ, paired | 75.189 | 77.469 | -2.280 | 0.97057 |
| QTo, all flops | 29.172 | 57.291 | -28.119 | 0.50919 |
| QTo, rainbow, ten or higher | 33.997 | 57.291 | -23.294 | 0.59341 |
| QTo, rainbow, nine or lower | 16.189 | 57.291 | -41.102 | 0.28257 |
| QTo, two-tone | 30.030 | 57.291 | -27.261 | 0.52417 |
| QTo, monotone | 33.908 | 57.291 | -23.383 | 0.59186 |
| QTo, paired | 24.811 | 57.291 | -32.480 | 0.43307 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (JJ at 70.86%) and 12 do not (70.67%). The two rows differ by only 0.19 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | QTo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 70.654 | 0.408 | 28.938 | 70.858 |
| No shared suit | 12 | 16.67 | 70.518 | 0.313 | 29.169 | 70.674 |
How often this matchup comes up
How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are JJ against QTo, and 144 (0.0089%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $141.66 of it, which is $41.66 more than it put in, and QTo takes back $58.34, $41.66 less than it put in.
Scaled to 1,000 deals, that is roughly 706 wins for JJ, 290 for QTo and 4 chopped pots.
The same matchup from the other side
QTo against JJ adds nothing new: it is 29.17% for QTo and 70.83% for JJ, the same figures reversed.
Keep exploring
Try JsJh against QdTc 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
We counted every case. Each suit pattern of the 72 specific JJ against QTo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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