76s
63.08%
Wins 59.61%, ties 6.94%
53s
36.92%
Wins 33.45%, ties 6.94%
76s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 76s | 59.608 | 6.939 | 33.453 | 63.077 |
| 53s | 33.453 | 6.939 | 59.608 | 36.923 |
The matchup is suited hands on both sides, 76s against 53s. 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. Ties are part of the picture: 6.94% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts 76s at 115 and 53s at 146 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 76s | 16,331,000 | 1,901,000 | 9,165,000 |
| 53s | 9,165,000 | 1,901,000 | 16,331,000 |
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 | 1.708 | 1.678 | 2.989 | 0.585 |
| 53s | 0.585 | 2.989 | 1.678 | 1.708 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 76s holds 64.59% on low rainbow flops (nine high or lower) and 61.01% on monotone flops. 76s stays ahead on all five textures.
| Flop | Share of flops | 76s wins | Ties | 53s wins | 76s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 60.926 | 6.574 | 32.500 | 64.213 |
| Rainbow, nine or lower | 5.065 | 64.077 | 1.018 | 34.905 | 64.586 |
| Two-tone | 46.727 | 60.736 | 4.968 | 34.296 | 63.220 |
| Monotone | 5.273 | 57.682 | 6.658 | 35.660 | 61.011 |
| Paired | 17.091 | 53.799 | 14.725 | 31.476 | 61.161 |
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
Against one random hand instead, 76s holds 45.37% and 53s holds 39.69%. Facing each other changes that by +17.71 points for 76s and -2.77 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 76s, all flops | 63.077 | 45.372 | +17.705 | 1.39022 |
| 76s, rainbow, ten or higher | 64.213 | 45.372 | +18.841 | 1.41526 |
| 76s, rainbow, nine or lower | 64.586 | 45.372 | +19.214 | 1.42348 |
| 76s, two-tone | 63.220 | 45.372 | +17.848 | 1.39337 |
| 76s, monotone | 61.011 | 45.372 | +15.639 | 1.34468 |
| 76s, paired | 61.161 | 45.372 | +15.789 | 1.34799 |
| 53s, all flops | 36.923 | 39.693 | -2.770 | 0.93021 |
| 53s, rainbow, ten or higher | 35.787 | 39.693 | -3.906 | 0.90159 |
| 53s, rainbow, nine or lower | 35.414 | 39.693 | -4.279 | 0.89220 |
| 53s, two-tone | 36.780 | 39.693 | -2.913 | 0.92661 |
| 53s, monotone | 38.989 | 39.693 | -0.704 | 0.98226 |
| 53s, paired | 38.839 | 39.693 | -0.854 | 0.97848 |
Does a shared suit matter?
Does suit overlap move the numbers? 76s has 65.54% when the hands share a suit and 62.26% when they do not. 76s does better with a shared suit, by 3.28 points.
| Deals | Specific deals | Share of deals | 76s wins | Ties | 53s wins | 76s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 61.810 | 7.456 | 30.734 | 65.538 |
| No shared suit | 12 | 75.00 | 58.874 | 6.767 | 34.359 | 62.257 |
How often this matchup comes up
76s against 53s 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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 76s' average share is $126.16 (a gain of $26.16) and 53s' is $73.84 (a loss of $26.16).
Per 1,000 deals: 76s wins about 596, 53s wins about 335, and about 69 end in a split pot.
The same matchup from the other side
Swap the hands and you get 53s with 36.92% against 76s with 63.08%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in 7s6s against 5h3h, 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
This is an exact count with no sampling. For the 16 ways to deal one 76s and one 53s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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