77
80.39%
Wins 79.71%, ties 1.35%
53s
19.61%
Wins 18.94%, ties 1.35%
77 against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 79.712 | 1.350 | 18.938 | 80.387 |
| 53s | 18.938 | 1.350 | 79.712 | 19.613 |
Here a pocket pair (77) meets a suited hand (53s). The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
This is one of the lopsided matchups: 53s wins only 18.94% of the boards outright. Split pots make up 1.35% of the boards, and both equity figures count them as half a win each.
77 ranks number 9 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 32,758,000 | 555,000 | 7,783,000 |
| 53s | 7,783,000 | 555,000 | 32,758,000 |
24 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) |
|---|---|---|---|---|
| 77 | 4.099 | 1.255 | 5.280 | 0.244 |
| 53s | 0.244 | 5.280 | 1.255 | 4.099 |
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
The flop changes the picture. 77 does best on rainbow flops topped by a ten or better, at 84.34%, and worst on low rainbow flops (nine high or lower), at 72.60%. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 53s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 83.925 | 0.837 | 15.238 | 84.344 |
| Rainbow, nine or lower | 5.065 | 72.277 | 0.641 | 27.082 | 72.598 |
| Two-tone | 46.545 | 78.424 | 0.756 | 20.820 | 78.802 |
| Monotone | 5.212 | 73.475 | 2.854 | 23.671 | 74.902 |
| Paired | 17.334 | 80.937 | 3.467 | 15.596 | 82.671 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 66.24% for 77, 39.69% for 53s. Here the change is +14.15 and -20.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 80.387 | 66.236 | +14.151 | 1.21365 |
| 77, rainbow, ten or higher | 84.344 | 66.236 | +18.108 | 1.27339 |
| 77, rainbow, nine or lower | 72.598 | 66.236 | +6.362 | 1.09605 |
| 77, two-tone | 78.802 | 66.236 | +12.566 | 1.18972 |
| 77, monotone | 74.902 | 66.236 | +8.666 | 1.13084 |
| 77, paired | 82.671 | 66.236 | +16.435 | 1.24813 |
| 53s, all flops | 19.613 | 39.693 | -20.080 | 0.49412 |
| 53s, rainbow, ten or higher | 15.656 | 39.693 | -24.037 | 0.39443 |
| 53s, rainbow, nine or lower | 27.402 | 39.693 | -12.291 | 0.69035 |
| 53s, two-tone | 21.198 | 39.693 | -18.495 | 0.53405 |
| 53s, monotone | 25.098 | 39.693 | -14.595 | 0.63230 |
| 53s, paired | 17.329 | 39.693 | -22.364 | 0.43658 |
Does a shared suit matter?
When the hands share a suit, 77 holds 80.97%; when they do not, it holds 79.81%. 77 does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 53s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.270 | 1.391 | 18.339 | 80.965 |
| No shared suit | 12 | 50.00 | 79.154 | 1.309 | 19.537 | 79.809 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. 77's equity of 80.39% is worth $160.78, a $60.78 edge, and 53s' 19.61% is worth $39.22, which is $60.78 under its stake.
Over a long run, 1,000 deals split into about 797 for 77, 189 for 53s and 14 tied.
The same matchup from the other side
Swap the hands and you get 53s with 19.61% against 77 with 80.39%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in 7s7h against 5d3d, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 77 against 53s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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