55
48.73%
Wins 48.39%, ties 0.68%
QTs
51.27%
Wins 50.93%, ties 0.68%
55 against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 48.386 | 0.683 | 50.931 | 48.728 |
| QTs | 50.931 | 0.683 | 48.386 | 51.272 |
The first hand is a pocket pair; the second is a suited 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.
That is a slim edge: neither hand is far ahead. 0.68% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, 55 sits at number 27 of 169 starting hands and QTs at number 34 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 19,884,000 | 281,000 | 20,930,000 |
| QTs | 20,930,000 | 281,000 | 19,884,000 |
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) |
|---|---|---|---|---|
| 55 | 0.950 | 2.067 | 1.963 | 1.052 |
| QTs | 1.052 | 1.963 | 2.067 | 0.950 |
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
By flop texture, QTs' equity runs from 26.11% on low rainbow flops (nine high or lower) up to 57.45% on rainbow flops topped by a ten or better. The overall edge for QTs hides low rainbow flops (nine high or lower) and paired flops, where 55 comes out in front.
| Flop | Share of flops | 55 wins | Ties | QTs wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 42.380 | 0.351 | 57.269 | 42.555 |
| Rainbow, nine or lower | 6.314 | 73.548 | 0.682 | 25.770 | 73.889 |
| Two-tone | 46.545 | 46.841 | 0.397 | 52.762 | 47.039 |
| Monotone | 5.212 | 47.686 | 2.680 | 49.634 | 49.026 |
| Paired | 17.334 | 52.105 | 1.323 | 46.572 | 52.766 |
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 -11.60 points for 55, from 60.33%, and -8.20 for QTs, from 59.47%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 48.728 | 60.325 | -11.597 | 0.80776 |
| 55, rainbow, ten or higher | 42.555 | 60.325 | -17.770 | 0.70543 |
| 55, rainbow, nine or lower | 73.889 | 60.325 | +13.564 | 1.22485 |
| 55, two-tone | 47.039 | 60.325 | -13.286 | 0.77976 |
| 55, monotone | 49.026 | 60.325 | -11.299 | 0.81270 |
| 55, paired | 52.766 | 60.325 | -7.559 | 0.87470 |
| QTs, all flops | 51.272 | 59.468 | -8.196 | 0.86218 |
| QTs, rainbow, ten or higher | 57.445 | 59.468 | -2.023 | 0.96598 |
| QTs, rainbow, nine or lower | 26.111 | 59.468 | -33.357 | 0.43908 |
| QTs, two-tone | 52.961 | 59.468 | -6.507 | 0.89058 |
| QTs, monotone | 50.974 | 59.468 | -8.494 | 0.85717 |
| QTs, paired | 47.234 | 59.468 | -12.234 | 0.79428 |
Does a shared suit matter?
Split by suits, the deals give QTs 51.12% when the hands overlap in a suit and 51.42% when they do not. QTs does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | QTs wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.516 | 0.725 | 50.759 | 48.878 |
| No shared suit | 12 | 50.00 | 48.257 | 0.641 | 51.102 | 48.578 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTs averages $102.54 from the $200, up $2.54; 55 averages $97.46, down $2.54.
Over a long run, 1,000 deals split into about 509 for QTs, 484 for 55 and 7 tied.
The same matchup from the other side
If you came looking for QTs against 55, the numbers are the same with the hands swapped: 51.27% and 48.73%.
Keep exploring
The calculator link fills in 5s5h against QdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 24 specific 55 against QTs 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.
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