QJo
61.42%
Wins 60.99%, ties 0.86%
86s
38.58%
Wins 38.15%, ties 0.86%
QJo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.993 | 0.862 | 38.145 | 61.424 |
| 86s | 38.145 | 0.862 | 60.993 | 38.576 |
The first hand is an offsuit hand; the second is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.86% of boards, so the wins and the equity differ by half of that.
Place 39 of 169 belongs to QJo and place 110 belongs to 86s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 50,131,000 | 708,000 | 31,352,000 |
| 86s | 31,352,000 | 708,000 | 50,131,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJo | 1.592 | 1.640 | 2.622 | 0.628 |
| 86s | 0.628 | 2.622 | 1.640 | 1.592 |
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 (69.91%) and weakest on low rainbow flops (nine high or lower) (35.85%). QJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QJo wins | Ties | 86s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.708 | 0.413 | 29.879 | 69.914 |
| Rainbow, nine or lower | 6.313 | 35.525 | 0.643 | 63.832 | 35.846 |
| Two-tone | 46.667 | 59.856 | 0.436 | 39.708 | 60.074 |
| Monotone | 5.212 | 58.287 | 2.516 | 39.197 | 59.545 |
| Paired | 17.091 | 61.726 | 2.250 | 36.024 | 62.851 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, QJo changes by +3.28 points (baseline 58.14%) and 86s by -7.66 points (baseline 46.24%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 61.424 | 58.135 | +3.289 | 1.05658 |
| QJo, rainbow, ten or higher | 69.914 | 58.135 | +11.779 | 1.20261 |
| QJo, rainbow, nine or lower | 35.846 | 58.135 | -22.289 | 0.61660 |
| QJo, two-tone | 60.074 | 58.135 | +1.939 | 1.03335 |
| QJo, monotone | 59.545 | 58.135 | +1.410 | 1.02425 |
| QJo, paired | 62.851 | 58.135 | +4.716 | 1.08112 |
| 86s, all flops | 38.576 | 46.243 | -7.667 | 0.83420 |
| 86s, rainbow, ten or higher | 30.086 | 46.243 | -16.157 | 0.65061 |
| 86s, rainbow, nine or lower | 64.154 | 46.243 | +17.911 | 1.38732 |
| 86s, two-tone | 39.926 | 46.243 | -6.317 | 0.86340 |
| 86s, monotone | 40.455 | 46.243 | -5.788 | 0.87484 |
| 86s, paired | 37.149 | 46.243 | -9.094 | 0.80334 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (QJo at 62.14%) and 24 do not (60.70%). QJo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 86s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.692 | 0.904 | 37.404 | 62.144 |
| No shared suit | 24 | 50.00 | 60.293 | 0.820 | 38.887 | 60.703 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QJo's average share is $122.84 (a gain of $22.84) and 86s' is $77.16 (a loss of $22.84).
Out of 1,000 deals you should see around 610 outright wins for QJo, 381 for 86s, and 9 split pots.
The same matchup from the other side
86s versus QJo is this same page seen from the other hand: 38.58% for 86s, 61.42% for QJo.
Keep exploring
Open the calculator with QsJh against 8d6d 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
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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