QJo
61.01%
Wins 60.56%, ties 0.90%
64s
38.99%
Wins 38.54%, ties 0.90%
QJo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.557 | 0.904 | 38.539 | 61.009 |
| 64s | 38.539 | 0.904 | 60.557 | 38.991 |
Here an offsuit hand (QJo) meets a suited hand (64s). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.90% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts QJo at 39 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,772,000 | 743,000 | 31,675,000 |
| 64s | 31,675,000 | 743,000 | 49,772,000 |
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 | 1.565 | 1.651 | 2.595 | 0.639 |
| 64s | 0.639 | 2.595 | 1.651 | 1.565 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures QJo's equity moves by 35.40 points, from 34.27% on low rainbow flops (nine high or lower) to 69.67% on rainbow flops topped by a ten or better. QJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QJo wins | Ties | 64s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.458 | 0.425 | 30.117 | 69.670 |
| Rainbow, nine or lower | 6.313 | 33.857 | 0.834 | 65.309 | 34.274 |
| Two-tone | 46.667 | 59.327 | 0.482 | 40.191 | 59.568 |
| Monotone | 5.212 | 57.879 | 2.577 | 39.544 | 59.168 |
| Paired | 17.091 | 61.724 | 2.267 | 36.009 | 62.857 |
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
A random hand would give QJo 58.14% and 64s 41.33%. Against each other the change is +2.87 points for QJo and -2.34 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 61.009 | 58.135 | +2.874 | 1.04944 |
| QJo, rainbow, ten or higher | 69.670 | 58.135 | +11.535 | 1.19842 |
| QJo, rainbow, nine or lower | 34.274 | 58.135 | -23.861 | 0.58956 |
| QJo, two-tone | 59.568 | 58.135 | +1.433 | 1.02465 |
| QJo, monotone | 59.168 | 58.135 | +1.033 | 1.01777 |
| QJo, paired | 62.857 | 58.135 | +4.722 | 1.08122 |
| 64s, all flops | 38.991 | 41.333 | -2.342 | 0.94334 |
| 64s, rainbow, ten or higher | 30.330 | 41.333 | -11.003 | 0.73380 |
| 64s, rainbow, nine or lower | 65.726 | 41.333 | +24.393 | 1.59016 |
| 64s, two-tone | 40.432 | 41.333 | -0.901 | 0.97820 |
| 64s, monotone | 40.832 | 41.333 | -0.501 | 0.98788 |
| 64s, paired | 37.143 | 41.333 | -4.190 | 0.89863 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QJo has 61.73%; looking only at deals where they do not, 60.29%. QJo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 64s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.258 | 0.946 | 37.796 | 61.731 |
| No shared suit | 24 | 50.00 | 59.857 | 0.863 | 39.280 | 60.288 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $122.02 for QJo and $77.98 for 64s; the first side gains $22.02 per all-in and the second gives up $22.02.
A thousand deals look like this: QJo takes 606, 64s takes 385, 9 are ties.
The same matchup from the other side
Read it from the other side: 64s against QJo is the same matchup with the numbers swapped, so 64s holds 38.99% and QJo holds 61.01%. That address sends you back to this page.
Keep exploring
QsJh against 6d4d 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
We counted every case. Each suit pattern of the 48 specific QJo against 64s 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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