87s
63.75%
Wins 61.62%, ties 4.27%
53s
36.25%
Wins 34.11%, ties 4.27%
87s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 87s | 61.620 | 4.268 | 34.112 | 63.754 |
| 53s | 34.112 | 4.268 | 61.620 | 36.246 |
87s and 53s are both suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 27.50 point lead is real, and 53s still takes about 341 of every 1,000 deals outright. Ties are 4.27% of the outcomes here; each tied board gives both hands half the pot.
Place 100 of 169 belongs to 87s and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87s | 16,882,000 | 1,169,000 | 9,346,000 |
| 53s | 9,346,000 | 1,169,000 | 16,882,000 |
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) |
|---|---|---|---|---|
| 87s | 1.759 | 1.623 | 2.932 | 0.569 |
| 53s | 0.569 | 2.932 | 1.623 | 1.759 |
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
Split by what the flop looks like, 87s peaks at 65.28% on rainbow flops topped by a ten or better and bottoms out at 61.34% on monotone flops. 87s stays ahead on all five textures.
| Flop | Share of flops | 87s wins | Ties | 53s wins | 87s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 63.475 | 3.608 | 32.917 | 65.279 |
| Rainbow, nine or lower | 5.065 | 62.147 | 0.616 | 37.237 | 62.455 |
| Two-tone | 46.727 | 62.320 | 2.764 | 34.916 | 63.702 |
| Monotone | 5.273 | 58.755 | 5.178 | 36.067 | 61.344 |
| Paired | 17.091 | 57.632 | 10.178 | 32.190 | 62.721 |
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
A random hand would give 87s 47.94% and 53s 39.69%. Against each other the change is +15.81 points for 87s and -3.44 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 87s, all flops | 63.754 | 47.936 | +15.818 | 1.32998 |
| 87s, rainbow, ten or higher | 65.279 | 47.936 | +17.343 | 1.36179 |
| 87s, rainbow, nine or lower | 62.455 | 47.936 | +14.519 | 1.30288 |
| 87s, two-tone | 63.702 | 47.936 | +15.766 | 1.32890 |
| 87s, monotone | 61.344 | 47.936 | +13.408 | 1.27971 |
| 87s, paired | 62.721 | 47.936 | +14.785 | 1.30843 |
| 53s, all flops | 36.246 | 39.693 | -3.447 | 0.91316 |
| 53s, rainbow, ten or higher | 34.721 | 39.693 | -4.972 | 0.87474 |
| 53s, rainbow, nine or lower | 37.545 | 39.693 | -2.148 | 0.94588 |
| 53s, two-tone | 36.298 | 39.693 | -3.395 | 0.91447 |
| 53s, monotone | 38.656 | 39.693 | -1.037 | 0.97387 |
| 53s, paired | 37.279 | 39.693 | -2.414 | 0.93918 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 87s has 66.22% equity, and with none in common it has 62.93%. 87s does better with a shared suit, by 3.29 points.
| Deals | Specific deals | Share of deals | 87s wins | Ties | 53s wins | 87s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.927 | 4.586 | 31.487 | 66.220 |
| No shared suit | 12 | 75.00 | 60.852 | 4.162 | 34.986 | 62.933 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 87s averages $127.50 from the $200, up $27.50; 53s averages $72.50, down $27.50.
Run 1,000 deals and the tally comes out near 616 for 87s, 341 for 53s and 43 ties.
The same matchup from the other side
The mirror image, 53s against 87s, is 36.25% to 63.75%, and its address redirects to this page.
Keep exploring
Try 8s7s against 5h3h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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