86s
61.06%
Wins 58.77%, ties 4.59%
75s
38.94%
Wins 36.64%, ties 4.59%
86s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 58.769 | 4.590 | 36.641 | 61.064 |
| 75s | 36.641 | 4.590 | 58.769 | 38.936 |
Two suited hands meet here: 86s against 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 4.59% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, 86s is number 110 and 75s is number 124 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 16,101,000 | 1,258,000 | 10,038,000 |
| 75s | 10,038,000 | 1,258,000 | 16,101,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| 86s | 1.568 | 1.702 | 2.729 | 0.638 |
| 75s | 0.638 | 2.729 | 1.702 | 1.568 |
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
Rainbow flops topped by a ten or better are the best for 86s (62.68%); low rainbow flops (nine high or lower) are the worst (57.25%). 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 75s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 60.682 | 3.989 | 35.329 | 62.677 |
| Rainbow, nine or lower | 5.065 | 57.039 | 0.416 | 42.545 | 57.247 |
| Two-tone | 46.727 | 59.315 | 3.011 | 37.674 | 60.821 |
| Monotone | 5.273 | 56.062 | 5.254 | 38.684 | 58.689 |
| Paired | 17.091 | 55.728 | 10.848 | 33.424 | 61.152 |
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
Against one random hand instead, 86s holds 46.24% and 75s holds 43.68%. Facing each other changes that by +14.82 points for 86s and -4.74 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 61.064 | 46.243 | +14.821 | 1.32050 |
| 86s, rainbow, ten or higher | 62.677 | 46.243 | +16.434 | 1.35538 |
| 86s, rainbow, nine or lower | 57.247 | 46.243 | +11.004 | 1.23796 |
| 86s, two-tone | 60.821 | 46.243 | +14.578 | 1.31525 |
| 86s, monotone | 58.689 | 46.243 | +12.446 | 1.26914 |
| 86s, paired | 61.152 | 46.243 | +14.909 | 1.32241 |
| 75s, all flops | 38.936 | 43.676 | -4.740 | 0.89147 |
| 75s, rainbow, ten or higher | 37.323 | 43.676 | -6.353 | 0.85454 |
| 75s, rainbow, nine or lower | 42.753 | 43.676 | -0.923 | 0.97887 |
| 75s, two-tone | 39.179 | 43.676 | -4.497 | 0.89704 |
| 75s, monotone | 41.311 | 43.676 | -2.365 | 0.94585 |
| 75s, paired | 38.848 | 43.676 | -4.828 | 0.88946 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (86s at 63.39%) and 12 do not (60.29%). 86s does better with a shared suit, by 3.10 points.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 75s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.922 | 4.933 | 34.145 | 63.388 |
| No shared suit | 12 | 75.00 | 58.051 | 4.476 | 37.473 | 60.289 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 86s is worth $122.12 on average (+$22.12); 75s is worth $77.88 (-$22.12).
Scaled to 1,000 deals, that is roughly 588 wins for 86s, 366 for 75s and 46 chopped pots.
The same matchup from the other side
If you came looking for 75s against 86s, the numbers are the same with the hands swapped: 38.94% and 61.06%.
Keep exploring
The calculator link fills in 8s6s against 7h5h, 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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