QJo
59.71%
Wins 59.26%, ties 0.89%
65s
40.29%
Wins 39.85%, ties 0.89%
QJo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 59.262 | 0.894 | 39.844 | 59.709 |
| 65s | 39.844 | 0.894 | 59.262 | 40.291 |
QJo and 65s are an offsuit hand and a suited hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
QJo is ahead, but 65s is far from dead: it takes 398 of every 1,000 deals outright. The tie share is 0.89%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, QJo is number 39 of the 169 starting hands and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 48,708,000 | 735,000 | 32,748,000 |
| 65s | 32,748,000 | 735,000 | 48,708,000 |
48 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) |
|---|---|---|---|---|
| QJo | 1.482 | 1.687 | 2.510 | 0.675 |
| 65s | 0.675 | 2.510 | 1.687 | 1.482 |
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
If you know the kind of flop that came, the numbers shift: QJo holds 68.59% on rainbow flops topped by a ten or better and 31.34% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though QJo is ahead overall.
| Flop | Share of flops | QJo wins | Ties | 65s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.376 | 0.425 | 31.199 | 68.589 |
| Rainbow, nine or lower | 6.313 | 30.955 | 0.766 | 68.279 | 31.338 |
| Two-tone | 46.667 | 58.002 | 0.472 | 41.526 | 58.238 |
| Monotone | 5.212 | 56.899 | 2.569 | 40.532 | 58.184 |
| Paired | 17.091 | 60.697 | 2.262 | 37.041 | 61.828 |
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
Relative to a random opponent, QJo changes by +1.57 points (baseline 58.14%) and 65s by -2.84 points (baseline 43.13%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 59.709 | 58.135 | +1.574 | 1.02707 |
| QJo, rainbow, ten or higher | 68.589 | 58.135 | +10.454 | 1.17982 |
| QJo, rainbow, nine or lower | 31.338 | 58.135 | -26.797 | 0.53906 |
| QJo, two-tone | 58.238 | 58.135 | +0.103 | 1.00177 |
| QJo, monotone | 58.184 | 58.135 | +0.049 | 1.00084 |
| QJo, paired | 61.828 | 58.135 | +3.693 | 1.06352 |
| 65s, all flops | 40.291 | 43.133 | -2.842 | 0.93411 |
| 65s, rainbow, ten or higher | 31.411 | 43.133 | -11.722 | 0.72824 |
| 65s, rainbow, nine or lower | 68.662 | 43.133 | +25.529 | 1.59187 |
| 65s, two-tone | 41.762 | 43.133 | -1.371 | 0.96821 |
| 65s, monotone | 41.816 | 43.133 | -1.317 | 0.96947 |
| 65s, paired | 38.172 | 43.133 | -4.961 | 0.88498 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QJo has 60.41%; looking only at deals where they do not, 59.01%. QJo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 65s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.938 | 0.936 | 39.126 | 60.406 |
| No shared suit | 24 | 50.00 | 58.586 | 0.852 | 40.562 | 59.012 |
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 $119.42 for QJo and $80.58 for 65s; the first side gains $19.42 per all-in and the second gives up $19.42.
Over a long run, 1,000 deals split into about 593 for QJo, 398 for 65s and 9 tied.
The same matchup from the other side
If you came looking for 65s against QJo, the numbers are the same with the hands swapped: 40.29% and 59.71%.
Keep exploring
The calculator link fills in QsJh against 6d5d, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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