76s
62.04%
Wins 58.57%, ties 6.93%
54s
37.96%
Wins 34.50%, ties 6.93%
76s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 76s | 58.571 | 6.933 | 34.496 | 62.038 |
| 54s | 34.496 | 6.933 | 58.571 | 37.962 |
Each side holds one of the suited hands: 76s and 54s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 24.08 point lead is real, and 54s still takes about 345 of every 1,000 deals outright. Of every 100 boards, about 6.93 are split pots, and the equity figures already include them.
By strength against a random hand, 76s holds place 115 of 169 and 54s holds place 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 76s | 16,047,000 | 1,899,000 | 9,451,000 |
| 54s | 9,451,000 | 1,899,000 | 16,047,000 |
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) |
|---|---|---|---|---|
| 76s | 1.634 | 1.707 | 2.899 | 0.612 |
| 54s | 0.612 | 2.899 | 1.707 | 1.634 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
76s prefers rainbow flops topped by a ten or better, where it holds 63.24%, and likes monotone flops least, where it holds 60.19%. 76s stays ahead on all five textures.
| Flop | Share of flops | 76s wins | Ties | 54s wins | 76s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 59.951 | 6.574 | 33.475 | 63.238 |
| Rainbow, nine or lower | 5.065 | 61.876 | 0.971 | 37.153 | 62.362 |
| Two-tone | 46.727 | 59.683 | 4.962 | 35.355 | 62.164 |
| Monotone | 5.273 | 56.865 | 6.646 | 36.489 | 60.188 |
| Paired | 17.091 | 52.989 | 14.721 | 32.290 | 60.350 |
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
Start from the random-hand figures, 45.37% for 76s and 41.45% for 54s. This opponent changes them by +16.67 and -3.49 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 76s, all flops | 62.038 | 45.372 | +16.666 | 1.36732 |
| 76s, rainbow, ten or higher | 63.238 | 45.372 | +17.866 | 1.39377 |
| 76s, rainbow, nine or lower | 62.362 | 45.372 | +16.990 | 1.37446 |
| 76s, two-tone | 62.164 | 45.372 | +16.792 | 1.37010 |
| 76s, monotone | 60.188 | 45.372 | +14.816 | 1.32655 |
| 76s, paired | 60.350 | 45.372 | +14.978 | 1.33012 |
| 54s, all flops | 37.962 | 41.453 | -3.491 | 0.91578 |
| 54s, rainbow, ten or higher | 36.762 | 41.453 | -4.691 | 0.88684 |
| 54s, rainbow, nine or lower | 37.638 | 41.453 | -3.815 | 0.90797 |
| 54s, two-tone | 37.836 | 41.453 | -3.617 | 0.91274 |
| 54s, monotone | 39.812 | 41.453 | -1.641 | 0.96041 |
| 54s, paired | 39.650 | 41.453 | -1.803 | 0.95650 |
Does a shared suit matter?
The suit split reads 64.40% for 76s with a shared suit and 61.25% without one. 76s does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | 76s wins | Ties | 54s wins | 76s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.677 | 7.449 | 31.874 | 64.401 |
| No shared suit | 12 | 75.00 | 57.869 | 6.761 | 35.370 | 61.250 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. 76s is worth $124.08 on average (+$24.08); 54s is worth $75.92 (-$24.08).
Out of 1,000 deals you should see around 586 outright wins for 76s, 345 for 54s, and 69 split pots.
The same matchup from the other side
54s against 76s adds nothing new: it is 37.96% for 54s and 62.04% for 76s, the same figures reversed.
Keep exploring
7s6s against 5h4h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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