76s
62.82%
Wins 59.40%, ties 6.86%
43s
37.18%
Wins 33.74%, ties 6.86%
76s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 76s | 59.396 | 6.857 | 33.747 | 62.824 |
| 43s | 33.747 | 6.857 | 59.396 | 37.176 |
Two suited hands meet here: 76s against 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 25.64 point lead is real, and 43s still takes about 337 of every 1,000 deals outright. Of every 100 boards, about 6.86 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, 76s is number 115 of the 169 starting hands and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 76s | 16,273,000 | 1,879,000 | 9,246,000 |
| 43s | 9,246,000 | 1,879,000 | 16,273,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| 76s | 1.690 | 1.684 | 2.963 | 0.592 |
| 43s | 0.592 | 2.963 | 1.684 | 1.690 |
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, 76s' equity runs from 60.84% on monotone flops up to 64.93% on low rainbow flops (nine high or lower). 76s stays ahead on all five textures.
| Flop | Share of flops | 76s wins | Ties | 43s wins | 76s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 60.543 | 6.513 | 32.944 | 63.800 |
| Rainbow, nine or lower | 5.065 | 64.487 | 0.892 | 34.621 | 64.933 |
| Two-tone | 46.727 | 60.506 | 4.904 | 34.590 | 62.958 |
| Monotone | 5.273 | 57.489 | 6.705 | 35.806 | 60.842 |
| Paired | 17.091 | 53.706 | 14.528 | 31.766 | 60.970 |
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
Against one random hand instead, 76s holds 45.37% and 43s holds 38.64%. Facing each other changes that by +17.45 points for 76s and -1.46 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 76s, all flops | 62.824 | 45.372 | +17.452 | 1.38464 |
| 76s, rainbow, ten or higher | 63.800 | 45.372 | +18.428 | 1.40615 |
| 76s, rainbow, nine or lower | 64.933 | 45.372 | +19.561 | 1.43112 |
| 76s, two-tone | 62.958 | 45.372 | +17.586 | 1.38760 |
| 76s, monotone | 60.842 | 45.372 | +15.470 | 1.34096 |
| 76s, paired | 60.970 | 45.372 | +15.598 | 1.34378 |
| 43s, all flops | 37.176 | 38.642 | -1.466 | 0.96206 |
| 43s, rainbow, ten or higher | 36.200 | 38.642 | -2.442 | 0.93680 |
| 43s, rainbow, nine or lower | 35.067 | 38.642 | -3.575 | 0.90748 |
| 43s, two-tone | 37.042 | 38.642 | -1.600 | 0.95859 |
| 43s, monotone | 39.158 | 38.642 | +0.516 | 1.01335 |
| 43s, paired | 39.030 | 38.642 | +0.388 | 1.01004 |
Does a shared suit matter?
Split by suits, the deals give 76s 65.26% when the hands overlap in a suit and 62.01% when they do not. 76s does better with a shared suit, by 3.25 points.
| Deals | Specific deals | Share of deals | 76s wins | Ties | 43s wins | 76s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 61.576 | 7.364 | 31.060 | 65.258 |
| No shared suit | 12 | 75.00 | 58.669 | 6.688 | 34.643 | 62.013 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are 76s against 43s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 76s takes back $125.64 of it, which is $25.64 more than it put in, and 43s takes back $74.36, $25.64 less than it put in.
Over a long run, 1,000 deals split into about 594 for 76s, 337 for 43s and 69 tied.
The same matchup from the other side
Swap the hands and you get 43s with 37.18% against 76s with 62.82%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
7s6s against 4h3h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another 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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