QJo
59.49%
Wins 59.03%, ties 0.93%
54s
40.51%
Wins 40.04%, ties 0.93%
QJo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 59.029 | 0.931 | 40.040 | 59.494 |
| 54s | 40.040 | 0.931 | 59.029 | 40.506 |
The first hand is an offsuit hand; the second is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.93% of the boards, and both equity figures count them as half a win each.
Place 39 of 169 belongs to QJo and place 136 belongs to 54s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 48,516,000 | 765,000 | 32,909,000 |
| 54s | 32,909,000 | 765,000 | 48,516,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJo | 1.469 | 1.694 | 2.498 | 0.681 |
| 54s | 0.681 | 2.498 | 1.694 | 1.469 |
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
The flop changes the picture. QJo does best on rainbow flops topped by a ten or better, at 67.70%, and worst on low rainbow flops (nine high or lower), at 33.25%. The overall edge for QJo hides low rainbow flops (nine high or lower), where 54s comes out in front.
| Flop | Share of flops | QJo wins | Ties | 54s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.477 | 0.449 | 32.074 | 67.702 |
| Rainbow, nine or lower | 6.313 | 32.794 | 0.908 | 66.298 | 33.248 |
| Two-tone | 46.667 | 57.698 | 0.517 | 41.785 | 57.957 |
| Monotone | 5.212 | 56.699 | 2.638 | 40.663 | 58.018 |
| Paired | 17.091 | 60.848 | 2.243 | 36.909 | 61.969 |
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
A random hand would give QJo 58.14% and 54s 41.45%. Against each other the change is +1.35 points for QJo and -0.94 for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 59.494 | 58.135 | +1.359 | 1.02338 |
| QJo, rainbow, ten or higher | 67.702 | 58.135 | +9.567 | 1.16457 |
| QJo, rainbow, nine or lower | 33.248 | 58.135 | -24.887 | 0.57191 |
| QJo, two-tone | 57.957 | 58.135 | -0.178 | 0.99694 |
| QJo, monotone | 58.018 | 58.135 | -0.117 | 0.99799 |
| QJo, paired | 61.969 | 58.135 | +3.834 | 1.06595 |
| 54s, all flops | 40.506 | 41.453 | -0.947 | 0.97715 |
| 54s, rainbow, ten or higher | 32.298 | 41.453 | -9.155 | 0.77915 |
| 54s, rainbow, nine or lower | 66.752 | 41.453 | +25.299 | 1.61031 |
| 54s, two-tone | 42.043 | 41.453 | +0.590 | 1.01423 |
| 54s, monotone | 41.982 | 41.453 | +0.529 | 1.01276 |
| 54s, paired | 38.031 | 41.453 | -3.422 | 0.91745 |
Does a shared suit matter?
Does suit overlap move the numbers? QJo has 60.19% when the hands share a suit and 58.80% when they do not. QJo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 54s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.700 | 0.971 | 39.329 | 60.186 |
| No shared suit | 24 | 50.00 | 58.358 | 0.890 | 40.752 | 58.803 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QJo takes back $118.98 of it, which is $18.98 more than it put in, and 54s takes back $81.02, $18.98 less than it put in.
Over a long run, 1,000 deals split into about 590 for QJo, 401 for 54s and 9 tied.
The same matchup from the other side
The reversed view, 54s against QJo, shows 40.51% for 54s and 59.49% for QJo. It is the same count, so it redirects here.
Keep exploring
Try QsJh against 5d4d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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