QTs
52.87%
Wins 52.29%, ties 1.16%
22
47.13%
Wins 46.55%, ties 1.16%
QTs against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 52.289 | 1.161 | 46.550 | 52.869 |
| 22 | 46.550 | 1.161 | 52.289 | 47.131 |
QTs, a suited hand, plays 22, a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with QTs a little ahead. About 1.16% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, QTs sits at number 34 of 169 starting hands and 22 at number 87 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 21,488,000 | 477,000 | 19,130,000 |
| 22 | 19,130,000 | 477,000 | 21,488,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| QTs | 1.122 | 1.912 | 2.148 | 0.891 |
| 22 | 0.891 | 2.148 | 1.912 | 1.122 |
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
Rainbow flops topped by a ten or better are the best for QTs (58.09%); low rainbow flops (nine high or lower) are the worst (28.16%). The lead reverses on low rainbow flops (nine high or lower): there 22 is the favorite even though QTs is ahead overall.
| Flop | Share of flops | QTs wins | Ties | 22 wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 57.804 | 0.561 | 41.635 | 58.085 |
| Rainbow, nine or lower | 6.314 | 27.653 | 1.021 | 71.326 | 28.164 |
| Two-tone | 46.545 | 53.535 | 0.617 | 45.848 | 53.843 |
| Monotone | 5.212 | 50.255 | 3.943 | 45.802 | 52.226 |
| Paired | 17.334 | 50.701 | 2.687 | 46.612 | 52.045 |
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
Compared with a random opponent, this matchup shifts QTs from 59.47% by -6.60 points and 22 from 50.33% by -3.20 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 52.869 | 59.468 | -6.599 | 0.88903 |
| QTs, rainbow, ten or higher | 58.085 | 59.468 | -1.383 | 0.97674 |
| QTs, rainbow, nine or lower | 28.164 | 59.468 | -31.304 | 0.47360 |
| QTs, two-tone | 53.843 | 59.468 | -5.625 | 0.90541 |
| QTs, monotone | 52.226 | 59.468 | -7.242 | 0.87822 |
| QTs, paired | 52.045 | 59.468 | -7.423 | 0.87518 |
| 22, all flops | 47.131 | 50.334 | -3.203 | 0.93637 |
| 22, rainbow, ten or higher | 41.915 | 50.334 | -8.419 | 0.83274 |
| 22, rainbow, nine or lower | 71.836 | 50.334 | +21.502 | 1.42719 |
| 22, two-tone | 46.157 | 50.334 | -4.177 | 0.91701 |
| 22, monotone | 47.774 | 50.334 | -2.560 | 0.94914 |
| 22, paired | 47.955 | 50.334 | -2.379 | 0.95274 |
Does a shared suit matter?
The suit split reads 52.71% for QTs with a shared suit and 53.03% without one. QTs does better with no shared suit, by 0.32 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 22 wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.122 | 1.181 | 46.697 | 52.712 |
| No shared suit | 12 | 50.00 | 52.456 | 1.140 | 46.404 | 53.026 |
How often this matchup comes up
QTs against 22 is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTs' average share is $105.74 (a gain of $5.74) and 22's is $94.26 (a loss of $5.74).
Over a long run, 1,000 deals split into about 523 for QTs, 465 for 22 and 12 tied.
The same matchup from the other side
22 against QTs adds nothing new: it is 47.13% for 22 and 52.87% for QTs, the same figures reversed.
Keep exploring
QsTs against 2h2d 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
This is an exact count with no sampling. For the 24 ways to deal one QTs and one 22 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session