QJo
60.85%
Wins 60.41%, ties 0.87%
87s
39.15%
Wins 38.72%, ties 0.87%
QJo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.414 | 0.872 | 38.714 | 60.850 |
| 87s | 38.714 | 0.872 | 60.414 | 39.150 |
Here an offsuit hand (QJo) meets a suited hand (87s). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.87 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, QJo is number 39 and 87s is number 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,655,000 | 717,000 | 31,819,000 |
| 87s | 31,819,000 | 717,000 | 49,655,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 1.554 | 1.655 | 2.583 | 0.643 |
| 87s | 0.643 | 2.583 | 1.655 | 1.554 |
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
Break the boards down by their first three cards and QJo is strongest on rainbow flops topped by a ten or better (68.92%) and weakest on low rainbow flops (nine high or lower) (36.71%). Low rainbow flops (nine high or lower) favor 87s, the hand that is behind overall.
| Flop | Share of flops | QJo wins | Ties | 87s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.684 | 0.465 | 30.851 | 68.917 |
| Rainbow, nine or lower | 6.313 | 36.453 | 0.519 | 63.028 | 36.712 |
| Two-tone | 46.667 | 59.274 | 0.449 | 40.277 | 59.498 |
| Monotone | 5.212 | 57.830 | 2.521 | 39.649 | 59.091 |
| Paired | 17.091 | 61.208 | 2.246 | 36.546 | 62.331 |
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 +2.71 points for QJo, from 58.14%, and -8.79 for 87s, from 47.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 60.850 | 58.135 | +2.715 | 1.04670 |
| QJo, rainbow, ten or higher | 68.917 | 58.135 | +10.782 | 1.18546 |
| QJo, rainbow, nine or lower | 36.712 | 58.135 | -21.423 | 0.63150 |
| QJo, two-tone | 59.498 | 58.135 | +1.363 | 1.02345 |
| QJo, monotone | 59.091 | 58.135 | +0.956 | 1.01644 |
| QJo, paired | 62.331 | 58.135 | +4.196 | 1.07218 |
| 87s, all flops | 39.150 | 47.936 | -8.786 | 0.81671 |
| 87s, rainbow, ten or higher | 31.083 | 47.936 | -16.853 | 0.64843 |
| 87s, rainbow, nine or lower | 63.288 | 47.936 | +15.352 | 1.32026 |
| 87s, two-tone | 40.502 | 47.936 | -7.434 | 0.84492 |
| 87s, monotone | 40.909 | 47.936 | -7.027 | 0.85341 |
| 87s, paired | 37.669 | 47.936 | -10.267 | 0.78582 |
Does a shared suit matter?
The suit split reads 61.55% for QJo with a shared suit and 60.15% without one. QJo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 87s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.095 | 0.914 | 37.991 | 61.552 |
| No shared suit | 24 | 50.00 | 59.733 | 0.830 | 39.437 | 60.148 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. QJo is worth $121.70 on average (+$21.70); 87s is worth $78.30 (-$21.70).
Over a long run, 1,000 deals split into about 604 for QJo, 387 for 87s and 9 tied.
The same matchup from the other side
The mirror image, 87s against QJo, is 39.15% to 60.85%, and its address redirects to this page.
Keep exploring
Open the calculator with QsJh against 8d7d 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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