98s
64.46%
Wins 63.11%, ties 2.70%
64s
35.54%
Wins 34.19%, ties 2.70%
98s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 98s | 63.112 | 2.695 | 34.193 | 64.460 |
| 64s | 34.193 | 2.695 | 63.112 | 35.540 |
Both hands are suited hands: 98s and 64s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
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: 2.70% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, 98s holds place 83 of 169 and 64s holds place 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 98s | 17,291,000 | 738,000 | 9,368,000 |
| 64s | 9,368,000 | 738,000 | 17,291,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 98s | 1.814 | 1.584 | 2.925 | 0.551 |
| 64s | 0.551 | 2.925 | 1.584 | 1.814 |
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
Rainbow flops topped by a ten or better are the best for 98s (66.95%); low rainbow flops (nine high or lower) are the worst (57.88%). 98s stays ahead on all five textures.
| Flop | Share of flops | 98s wins | Ties | 64s wins | 98s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 65.948 | 1.999 | 32.053 | 66.948 |
| Rainbow, nine or lower | 5.065 | 57.630 | 0.489 | 41.881 | 57.875 |
| Two-tone | 46.727 | 63.476 | 1.571 | 34.953 | 64.262 |
| Monotone | 5.273 | 59.525 | 4.322 | 36.153 | 61.686 |
| Paired | 17.091 | 60.560 | 6.972 | 32.468 | 64.046 |
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
How much does the opponent matter? Compared with its random-hand 50.80%, 98s changes by +13.66 points, and 64s, from 41.33%, by -5.79.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 98s, all flops | 64.460 | 50.801 | +13.659 | 1.26887 |
| 98s, rainbow, ten or higher | 66.948 | 50.801 | +16.147 | 1.31785 |
| 98s, rainbow, nine or lower | 57.875 | 50.801 | +7.074 | 1.13925 |
| 98s, two-tone | 64.262 | 50.801 | +13.461 | 1.26498 |
| 98s, monotone | 61.686 | 50.801 | +10.885 | 1.21427 |
| 98s, paired | 64.046 | 50.801 | +13.245 | 1.26072 |
| 64s, all flops | 35.540 | 41.333 | -5.793 | 0.85985 |
| 64s, rainbow, ten or higher | 33.052 | 41.333 | -8.281 | 0.79965 |
| 64s, rainbow, nine or lower | 42.125 | 41.333 | +0.792 | 1.01916 |
| 64s, two-tone | 35.738 | 41.333 | -5.595 | 0.86464 |
| 64s, monotone | 38.314 | 41.333 | -3.019 | 0.92696 |
| 64s, paired | 35.954 | 41.333 | -5.379 | 0.86986 |
Does a shared suit matter?
Split by suits, the deals give 98s 66.98% when the hands overlap in a suit and 63.62% when they do not. 98s does better with a shared suit, by 3.36 points.
| Deals | Specific deals | Share of deals | 98s wins | Ties | 64s wins | 98s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.526 | 2.904 | 31.570 | 66.978 |
| No shared suit | 12 | 75.00 | 62.308 | 2.625 | 35.067 | 63.620 |
How often this matchup comes up
98s against 64s 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
Say each player puts $100 in before the flop, making a $200 pot. On average 98s takes back $128.92 of it, which is $28.92 more than it put in, and 64s takes back $71.08, $28.92 less than it put in.
Out of 1,000 deals you should see around 631 outright wins for 98s, 342 for 64s, and 27 split pots.
The same matchup from the other side
64s against 98s adds nothing new: it is 35.54% for 64s and 64.46% for 98s, the same figures reversed.
Keep exploring
9s8s against 6h4h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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