98s
64.72%
Wins 63.34%, ties 2.75%
75s
35.28%
Wins 33.91%, ties 2.75%
98s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 98s | 63.342 | 2.746 | 33.912 | 64.715 |
| 75s | 33.912 | 2.746 | 63.342 | 35.285 |
The matchup is suited hands on both sides, 98s against 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 29.44 point lead is real, and 75s still takes about 339 of every 1,000 deals outright. 2.75% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts 98s at 83 and 75s at 124 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 98s | 17,354,000 | 752,000 | 9,291,000 |
| 75s | 9,291,000 | 752,000 | 17,354,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 98s | 1.834 | 1.579 | 2.949 | 0.545 |
| 75s | 0.545 | 2.949 | 1.579 | 1.834 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
98s prefers rainbow flops topped by a ten or better, where it holds 67.41%, and likes low rainbow flops (nine high or lower) least, where it holds 57.30%. 98s stays ahead on all five textures.
| Flop | Share of flops | 98s wins | Ties | 75s wins | 98s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 66.366 | 2.079 | 31.555 | 67.406 |
| Rainbow, nine or lower | 5.065 | 57.129 | 0.334 | 42.537 | 57.296 |
| Two-tone | 46.727 | 63.696 | 1.607 | 34.697 | 64.500 |
| Monotone | 5.273 | 59.653 | 4.317 | 36.030 | 61.812 |
| Paired | 17.091 | 60.778 | 7.097 | 32.125 | 64.326 |
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 +13.92 points, and 75s, from 43.68%, by -8.40.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 98s, all flops | 64.715 | 50.801 | +13.914 | 1.27389 |
| 98s, rainbow, ten or higher | 67.406 | 50.801 | +16.605 | 1.32686 |
| 98s, rainbow, nine or lower | 57.296 | 50.801 | +6.495 | 1.12785 |
| 98s, two-tone | 64.500 | 50.801 | +13.699 | 1.26966 |
| 98s, monotone | 61.812 | 50.801 | +11.011 | 1.21675 |
| 98s, paired | 64.326 | 50.801 | +13.525 | 1.26623 |
| 75s, all flops | 35.285 | 43.676 | -8.391 | 0.80788 |
| 75s, rainbow, ten or higher | 32.594 | 43.676 | -11.082 | 0.74627 |
| 75s, rainbow, nine or lower | 42.704 | 43.676 | -0.972 | 0.97775 |
| 75s, two-tone | 35.500 | 43.676 | -8.176 | 0.81280 |
| 75s, monotone | 38.188 | 43.676 | -5.488 | 0.87435 |
| 75s, paired | 35.674 | 43.676 | -8.002 | 0.81679 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (98s at 67.29%) and 12 do not (63.86%). 98s does better with a shared suit, by 3.43 points.
| Deals | Specific deals | Share of deals | 98s wins | Ties | 75s wins | 98s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.814 | 2.958 | 31.228 | 67.293 |
| No shared suit | 12 | 75.00 | 62.518 | 2.675 | 34.807 | 63.855 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are 98s against 75s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: 98s averages $129.44 back, ahead of its $100 by $29.44, while 75s averages $70.56, short of its $100 by $29.44.
Scaled to 1,000 deals, that is roughly 633 wins for 98s, 339 for 75s and 28 chopped pots.
The same matchup from the other side
75s versus 98s is this same page seen from the other hand: 35.28% for 75s, 64.72% for 98s.
Keep exploring
Open the calculator with 9s8s against 7h5h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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