86s
62.06%
Wins 59.79%, ties 4.54%
54s
37.94%
Wins 35.67%, ties 4.54%
86s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 59.792 | 4.537 | 35.671 | 62.060 |
| 54s | 35.671 | 4.537 | 59.792 | 37.940 |
The matchup is suited hands on both sides, 86s against 54s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
86s is ahead, but 54s is far from dead: it takes 357 of every 1,000 deals outright. Ties are 4.54% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, 86s is number 110 and 54s is number 136 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 16,381,000 | 1,243,000 | 9,773,000 |
| 54s | 9,773,000 | 1,243,000 | 16,381,000 |
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) |
|---|---|---|---|---|
| 86s | 1.636 | 1.672 | 2.803 | 0.611 |
| 54s | 0.611 | 2.803 | 1.672 | 1.636 |
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
By flop texture, 86s' equity runs from 59.59% on low rainbow flops (nine high or lower) up to 63.49% on rainbow flops topped by a ten or better. 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 54s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 61.538 | 3.908 | 34.554 | 63.492 |
| Rainbow, nine or lower | 5.065 | 59.260 | 0.665 | 40.075 | 59.593 |
| Two-tone | 46.727 | 60.417 | 2.987 | 36.596 | 61.910 |
| Monotone | 5.273 | 57.214 | 5.318 | 37.468 | 59.873 |
| Paired | 17.091 | 56.394 | 10.633 | 32.973 | 61.710 |
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
Each hand has a baseline against a random hand: 46.24% for 86s, 41.45% for 54s. Here the change is +15.82 and -3.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 62.060 | 46.243 | +15.817 | 1.34204 |
| 86s, rainbow, ten or higher | 63.492 | 46.243 | +17.249 | 1.37301 |
| 86s, rainbow, nine or lower | 59.593 | 46.243 | +13.350 | 1.28869 |
| 86s, two-tone | 61.910 | 46.243 | +15.667 | 1.33880 |
| 86s, monotone | 59.873 | 46.243 | +13.630 | 1.29475 |
| 86s, paired | 61.710 | 46.243 | +15.467 | 1.33447 |
| 54s, all flops | 37.940 | 41.453 | -3.513 | 0.91525 |
| 54s, rainbow, ten or higher | 36.508 | 41.453 | -4.945 | 0.88071 |
| 54s, rainbow, nine or lower | 40.407 | 41.453 | -1.046 | 0.97477 |
| 54s, two-tone | 38.090 | 41.453 | -3.363 | 0.91887 |
| 54s, monotone | 40.127 | 41.453 | -1.326 | 0.96801 |
| 54s, paired | 38.290 | 41.453 | -3.163 | 0.92370 |
Does a shared suit matter?
When the hands share a suit, 86s holds 64.40%; when they do not, it holds 61.28%. 86s does better with a shared suit, by 3.12 points.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 54s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 61.967 | 4.874 | 33.159 | 64.404 |
| No shared suit | 12 | 75.00 | 59.067 | 4.425 | 36.508 | 61.279 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 86s takes back $124.12 of it, which is $24.12 more than it put in, and 54s takes back $75.88, $24.12 less than it put in.
A thousand deals look like this: 86s takes 598, 54s takes 357, 45 are ties.
The same matchup from the other side
The reversed view, 54s against 86s, shows 37.94% for 54s and 62.06% for 86s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in 8s6s against 5h4h, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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