J9s
64.33%
Wins 63.70%, ties 1.26%
86s
35.67%
Wins 35.04%, ties 1.26%
J9s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| J9s | 63.702 | 1.261 | 35.037 | 64.333 |
| 86s | 35.037 | 1.261 | 63.702 | 35.667 |
Each side holds one of the suited hands: J9s and 86s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 1.26% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, J9s is number 55 and 86s is number 110 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| J9s | 17,452,000 | 345,000 | 9,599,000 |
| 86s | 9,599,000 | 345,000 | 17,452,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| J9s | 1.804 | 1.570 | 2.854 | 0.554 |
| 86s | 0.554 | 2.854 | 1.570 | 1.804 |
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: J9s holds 68.92% on rainbow flops topped by a ten or better and 47.76% on low rainbow flops (nine high or lower). The overall edge for J9s hides low rainbow flops (nine high or lower), where 86s comes out in front.
| Flop | Share of flops | J9s wins | Ties | 86s wins | J9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 68.560 | 0.718 | 30.722 | 68.919 |
| Rainbow, nine or lower | 5.689 | 47.533 | 0.447 | 52.020 | 47.756 |
| Two-tone | 46.727 | 63.538 | 0.613 | 35.849 | 63.845 |
| Monotone | 5.273 | 59.419 | 3.647 | 36.934 | 61.243 |
| Paired | 17.091 | 63.687 | 3.365 | 32.948 | 65.370 |
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
How much does the opponent matter? Compared with its random-hand 55.66%, J9s changes by +8.67 points, and 86s, from 46.24%, by -10.57.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| J9s, all flops | 64.333 | 55.662 | +8.671 | 1.15578 |
| J9s, rainbow, ten or higher | 68.919 | 55.662 | +13.257 | 1.23817 |
| J9s, rainbow, nine or lower | 47.756 | 55.662 | -7.906 | 0.85796 |
| J9s, two-tone | 63.845 | 55.662 | +8.183 | 1.14701 |
| J9s, monotone | 61.243 | 55.662 | +5.581 | 1.10027 |
| J9s, paired | 65.370 | 55.662 | +9.708 | 1.17441 |
| 86s, all flops | 35.667 | 46.243 | -10.576 | 0.77130 |
| 86s, rainbow, ten or higher | 31.081 | 46.243 | -15.162 | 0.67212 |
| 86s, rainbow, nine or lower | 52.244 | 46.243 | +6.001 | 1.12977 |
| 86s, two-tone | 36.155 | 46.243 | -10.088 | 0.78185 |
| 86s, monotone | 38.757 | 46.243 | -7.486 | 0.83812 |
| 86s, paired | 34.630 | 46.243 | -11.613 | 0.74887 |
Does a shared suit matter?
The suit split reads 66.85% for J9s with a shared suit and 63.49% without one. J9s does better with a shared suit, by 3.36 points.
| Deals | Specific deals | Share of deals | J9s wins | Ties | 86s wins | J9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 66.165 | 1.377 | 32.458 | 66.853 |
| No shared suit | 12 | 75.00 | 62.881 | 1.222 | 35.897 | 63.492 |
How often this matchup comes up
J9s against 86s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. J9s is worth $128.66 on average (+$28.66); 86s is worth $71.34 (-$28.66).
Think in thousands: about 637 of 1,000 go to J9s, about 350 go to 86s, and about 13 are chopped.
The same matchup from the other side
Swap the hands and you get 86s with 35.67% against J9s with 64.33%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try Js9s against 8h6h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of J9s against 86s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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