JJ
79.38%
Wins 79.19%, ties 0.38%
86s
20.62%
Wins 20.43%, ties 0.38%
JJ against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 79.188 | 0.382 | 20.430 | 79.379 |
| 86s | 20.430 | 0.382 | 79.188 | 20.621 |
One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
JJ is well ahead, and 86s needs a specific kind of board to catch up. Of every 100 boards, about 0.38 are split pots, and the equity figures already include them.
JJ ranks number 4 of 169 starting hands, and 86s ranks number 110, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,543,000 | 157,000 | 8,396,000 |
| 86s | 8,396,000 | 157,000 | 32,543,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| JJ | 3.849 | 1.263 | 4.895 | 0.260 |
| 86s | 0.260 | 4.895 | 1.263 | 3.849 |
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
Across the five flop textures JJ's equity moves by 17.57 points, from 67.02% on low rainbow flops (nine high or lower) to 84.59% on rainbow flops topped by a ten or better. JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | JJ wins | Ties | 86s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.512 | 0.165 | 15.323 | 84.594 |
| Rainbow, nine or lower | 6.314 | 66.696 | 0.656 | 32.648 | 67.024 |
| Two-tone | 46.545 | 77.397 | 0.251 | 22.352 | 77.523 |
| Monotone | 5.212 | 72.848 | 2.371 | 24.781 | 74.034 |
| Paired | 17.334 | 82.900 | 0.343 | 16.757 | 83.072 |
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
Compared with a random opponent, this matchup shifts JJ from 77.47% by +1.91 points and 86s from 46.24% by -25.62 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 79.379 | 77.469 | +1.910 | 1.02466 |
| JJ, rainbow, ten or higher | 84.594 | 77.469 | +7.125 | 1.09197 |
| JJ, rainbow, nine or lower | 67.024 | 77.469 | -10.445 | 0.86517 |
| JJ, two-tone | 77.523 | 77.469 | +0.054 | 1.00070 |
| JJ, monotone | 74.034 | 77.469 | -3.435 | 0.95566 |
| JJ, paired | 83.072 | 77.469 | +5.603 | 1.07233 |
| 86s, all flops | 20.621 | 46.243 | -25.622 | 0.44593 |
| 86s, rainbow, ten or higher | 15.406 | 46.243 | -30.837 | 0.33315 |
| 86s, rainbow, nine or lower | 32.976 | 46.243 | -13.267 | 0.71310 |
| 86s, two-tone | 22.477 | 46.243 | -23.766 | 0.48606 |
| 86s, monotone | 25.966 | 46.243 | -20.277 | 0.56151 |
| 86s, paired | 16.928 | 46.243 | -29.315 | 0.36607 |
Does a shared suit matter?
Does suit overlap move the numbers? JJ has 79.96% when the hands share a suit and 78.80% when they do not. JJ does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 86s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.745 | 0.426 | 19.829 | 79.958 |
| No shared suit | 12 | 50.00 | 78.631 | 0.339 | 21.030 | 78.800 |
How often this matchup comes up
Counting specific cards, JJ against 86s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. JJ averages $158.76 from the $200, up $58.76; 86s averages $41.24, down $58.76.
Think in thousands: about 792 of 1,000 go to JJ, about 204 go to 86s, and about 4 are chopped.
The same matchup from the other side
One page covers both views. From 86s' side the equity is 20.62%, and from JJ's side it is 79.38%.
Keep exploring
Open the calculator with JsJh 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 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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