QJs
62.05%
Wins 61.57%, ties 0.95%
54s
37.95%
Wins 37.48%, ties 0.95%
QJs against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 61.570 | 0.953 | 37.477 | 62.047 |
| 54s | 37.477 | 0.953 | 61.570 | 37.953 |
This is a contest between two suited hands, QJs and 54s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.95% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, QJs is number 28 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 16,868,000 | 261,000 | 10,268,000 |
| 54s | 10,268,000 | 261,000 | 16,868,000 |
16 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) |
|---|---|---|---|---|
| QJs | 1.635 | 1.624 | 2.668 | 0.612 |
| 54s | 0.612 | 2.668 | 1.624 | 1.635 |
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
QJs prefers rainbow flops topped by a ten or better, where it holds 69.02%, and likes low rainbow flops (nine high or lower) least, where it holds 35.76%. On low rainbow flops (nine high or lower) the numbers flip and 54s is the one ahead.
| Flop | Share of flops | QJs wins | Ties | 54s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.799 | 0.437 | 30.764 | 69.017 |
| Rainbow, nine or lower | 6.314 | 35.322 | 0.867 | 63.811 | 35.756 |
| Two-tone | 46.727 | 61.179 | 0.487 | 38.334 | 61.423 |
| Monotone | 5.273 | 57.738 | 3.669 | 38.593 | 59.573 |
| Paired | 17.091 | 63.113 | 2.168 | 34.719 | 64.197 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 60.26%, QJs changes by +1.79 points, and 54s, from 41.45%, by -3.50.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 62.047 | 60.259 | +1.788 | 1.02967 |
| QJs, rainbow, ten or higher | 69.017 | 60.259 | +8.758 | 1.14534 |
| QJs, rainbow, nine or lower | 35.756 | 60.259 | -24.503 | 0.59337 |
| QJs, two-tone | 61.423 | 60.259 | +1.164 | 1.01932 |
| QJs, monotone | 59.573 | 60.259 | -0.686 | 0.98862 |
| QJs, paired | 64.197 | 60.259 | +3.938 | 1.06535 |
| 54s, all flops | 37.953 | 41.453 | -3.500 | 0.91557 |
| 54s, rainbow, ten or higher | 30.983 | 41.453 | -10.470 | 0.74742 |
| 54s, rainbow, nine or lower | 64.244 | 41.453 | +22.791 | 1.54980 |
| 54s, two-tone | 38.577 | 41.453 | -2.876 | 0.93062 |
| 54s, monotone | 40.427 | 41.453 | -1.026 | 0.97525 |
| 54s, paired | 35.803 | 41.453 | -5.650 | 0.86370 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (QJs at 64.24%) and 12 do not (61.32%). QJs does better with a shared suit, by 2.92 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | 54s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.710 | 1.055 | 35.235 | 64.238 |
| No shared suit | 12 | 75.00 | 60.856 | 0.920 | 38.224 | 61.316 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QJs averages $124.10 from the $200, up $24.10; 54s averages $75.90, down $24.10.
Over a long run, 1,000 deals split into about 616 for QJs, 375 for 54s and 9 tied.
The same matchup from the other side
54s versus QJs is this same page seen from the other hand: 37.95% for 54s, 62.05% for QJs.
Keep exploring
Open the calculator with QsJs against 5h4h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 16 specific QJs against 54s 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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