TT
55.76%
Wins 55.56%, ties 0.39%
QJo
44.24%
Wins 44.05%, ties 0.39%
TT against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 55.559 | 0.393 | 44.048 | 55.756 |
| QJo | 44.048 | 0.393 | 55.559 | 44.244 |
TT is a pocket pair and QJo is an offsuit hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.39% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, TT is number 5 and QJo is number 39 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 68,496,000 | 485,000 | 54,305,000 |
| QJo | 54,305,000 | 485,000 | 68,496,000 |
72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| TT | 1.260 | 1.800 | 2.270 | 0.794 |
| QJo | 0.794 | 2.270 | 1.800 | 1.260 |
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
Low rainbow flops (nine high or lower) are the best for TT (74.90%); rainbow flops topped by a ten or better are the worst (47.91%). TT is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | TT wins | Ties | QJo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 47.840 | 0.144 | 52.016 | 47.912 |
| Rainbow, nine or lower | 7.771 | 74.408 | 0.981 | 24.611 | 74.899 |
| Two-tone | 46.485 | 54.135 | 0.339 | 45.526 | 54.305 |
| Monotone | 5.151 | 50.724 | 1.717 | 47.559 | 51.582 |
| Paired | 17.333 | 62.723 | 0.218 | 37.059 | 62.832 |
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
The table below sets each hand against its own random-hand baseline: a change of -19.25 points for TT, from 75.01%, and -13.90 for QJo, from 58.14%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 55.756 | 75.012 | -19.256 | 0.74329 |
| TT, rainbow, ten or higher | 47.912 | 75.012 | -27.100 | 0.63872 |
| TT, rainbow, nine or lower | 74.899 | 75.012 | -0.113 | 0.99849 |
| TT, two-tone | 54.305 | 75.012 | -20.707 | 0.72395 |
| TT, monotone | 51.582 | 75.012 | -23.430 | 0.68765 |
| TT, paired | 62.832 | 75.012 | -12.180 | 0.83763 |
| QJo, all flops | 44.244 | 58.135 | -13.891 | 0.76106 |
| QJo, rainbow, ten or higher | 52.088 | 58.135 | -6.047 | 0.89598 |
| QJo, rainbow, nine or lower | 25.101 | 58.135 | -33.034 | 0.43177 |
| QJo, two-tone | 45.695 | 58.135 | -12.440 | 0.78602 |
| QJo, monotone | 48.418 | 58.135 | -9.717 | 0.83285 |
| QJo, paired | 37.168 | 58.135 | -20.967 | 0.63934 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, TT has 55.67%; looking only at deals where they do not, 56.19%. TT does better with no shared suit, by 0.52 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | QJo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 55.464 | 0.409 | 44.127 | 55.669 |
| No shared suit | 12 | 16.67 | 56.033 | 0.315 | 43.652 | 56.191 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $111.52 of it on average and QJo gets $88.48.
Think in thousands: about 556 of 1,000 go to TT, about 440 go to QJo, and about 4 are chopped.
The same matchup from the other side
QJo versus TT is this same page seen from the other hand: 44.24% for QJo, 55.76% for TT.
Keep exploring
Try TsTh against QdJc 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
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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