87s
64.31%
Wins 62.16%, ties 4.31%
64s
35.69%
Wins 33.53%, ties 4.31%
87s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 87s | 62.160 | 4.306 | 33.534 | 64.313 |
| 64s | 33.534 | 4.306 | 62.160 | 35.687 |
87s meets 64s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 4.31% of boards end in a split pot, and each side counts that as half a win.
87s ranks number 100 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87s | 17,030,000 | 1,180,000 | 9,187,000 |
| 64s | 9,187,000 | 1,180,000 | 17,030,000 |
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 | 1.802 | 1.609 | 2.982 | 0.555 |
| 64s | 0.555 | 2.982 | 1.609 | 1.802 |
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
By flop texture, 87s' equity runs from 60.47% on low rainbow flops (nine high or lower) up to 66.49% on rainbow flops topped by a ten or better. 87s stays ahead on all five textures.
| Flop | Share of flops | 87s wins | Ties | 64s wins | 87s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 64.661 | 3.655 | 31.684 | 66.488 |
| Rainbow, nine or lower | 5.065 | 60.236 | 0.460 | 39.304 | 60.466 |
| Two-tone | 46.727 | 62.892 | 2.775 | 34.333 | 64.279 |
| Monotone | 5.273 | 59.130 | 5.123 | 35.747 | 61.692 |
| Paired | 17.091 | 57.883 | 10.363 | 31.754 | 63.064 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 47.94% for 87s and 41.33% for 64s. This opponent changes them by +16.37 and -5.64 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 87s, all flops | 64.313 | 47.936 | +16.377 | 1.34164 |
| 87s, rainbow, ten or higher | 66.488 | 47.936 | +18.552 | 1.38702 |
| 87s, rainbow, nine or lower | 60.466 | 47.936 | +12.530 | 1.26139 |
| 87s, two-tone | 64.279 | 47.936 | +16.343 | 1.34093 |
| 87s, monotone | 61.692 | 47.936 | +13.756 | 1.28697 |
| 87s, paired | 63.064 | 47.936 | +15.128 | 1.31559 |
| 64s, all flops | 35.687 | 41.333 | -5.646 | 0.86340 |
| 64s, rainbow, ten or higher | 33.512 | 41.333 | -7.821 | 0.81078 |
| 64s, rainbow, nine or lower | 39.534 | 41.333 | -1.799 | 0.95648 |
| 64s, two-tone | 35.721 | 41.333 | -5.612 | 0.86422 |
| 64s, monotone | 38.308 | 41.333 | -3.025 | 0.92681 |
| 64s, paired | 36.936 | 41.333 | -4.397 | 0.89362 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and 87s holds 66.87%. In 12 they do not, and it holds 63.46%. 87s does better with a shared suit, by 3.41 points.
| Deals | Specific deals | Share of deals | 87s wins | Ties | 64s wins | 87s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.557 | 4.626 | 30.817 | 66.870 |
| No shared suit | 12 | 75.00 | 61.361 | 4.199 | 34.440 | 63.461 |
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
Take a $200 pot built from $100 each. 87s' equity of 64.31% is worth $128.62, a $28.62 edge, and 64s' 35.69% is worth $71.38, which is $28.62 under its stake.
In 1,000 deals of exactly this matchup, expect about 622 won outright by 87s, about 335 won outright by 64s and about 43 split.
The same matchup from the other side
If you came looking for 64s against 87s, the numbers are the same with the hands swapped: 35.69% and 64.31%.
Keep exploring
The calculator link fills in 8s7s against 6h4h, 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
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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