K9s
68.70%
Wins 67.16%, ties 3.09%
98s
31.30%
Wins 29.75%, ties 3.09%
K9s against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 67.160 | 3.087 | 29.753 | 68.704 |
| 98s | 29.753 | 3.087 | 67.160 | 31.296 |
Both hands are suited hands: K9s and 98s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
K9s is the clear favorite, though 98s gets there on roughly one board in 3. 3.09% of boards are ties, so the equity of each hand is its win rate plus half of that.
K9s ranks number 29 of 169 starting hands, and 98s ranks number 83, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 13,800,000 | 634,000 | 6,114,000 |
| 98s | 6,114,000 | 634,000 | 13,800,000 |
12 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) |
|---|---|---|---|---|
| K9s | 2.195 | 1.489 | 3.361 | 0.456 |
| 98s | 0.456 | 3.361 | 1.489 | 2.195 |
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
By flop texture, K9s' equity runs from 55.15% on low rainbow flops (nine high or lower) up to 73.08% on rainbow flops topped by a ten or better. K9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | K9s wins | Ties | 98s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 71.769 | 2.614 | 25.617 | 73.076 |
| Rainbow, nine or lower | 5.654 | 53.349 | 3.594 | 43.057 | 55.146 |
| Two-tone | 46.543 | 66.106 | 2.507 | 31.387 | 67.360 |
| Monotone | 5.215 | 60.036 | 4.846 | 35.118 | 62.459 |
| Paired | 17.334 | 69.924 | 4.637 | 25.439 | 72.242 |
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
Each hand has a baseline against a random hand: 59.99% for K9s, 50.80% for 98s. Here the change is +8.71 and -19.50 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 68.704 | 59.988 | +8.716 | 1.14530 |
| K9s, rainbow, ten or higher | 73.076 | 59.988 | +13.088 | 1.21818 |
| K9s, rainbow, nine or lower | 55.146 | 59.988 | -4.842 | 0.91928 |
| K9s, two-tone | 67.360 | 59.988 | +7.372 | 1.12289 |
| K9s, monotone | 62.459 | 59.988 | +2.471 | 1.04119 |
| K9s, paired | 72.242 | 59.988 | +12.254 | 1.20427 |
| 98s, all flops | 31.296 | 50.801 | -19.505 | 0.61605 |
| 98s, rainbow, ten or higher | 26.924 | 50.801 | -23.877 | 0.52999 |
| 98s, rainbow, nine or lower | 44.854 | 50.801 | -5.947 | 0.88294 |
| 98s, two-tone | 32.640 | 50.801 | -18.161 | 0.64251 |
| 98s, monotone | 37.541 | 50.801 | -13.260 | 0.73898 |
| 98s, paired | 27.758 | 50.801 | -23.043 | 0.54641 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so K9s' 68.70% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | K9s wins | Ties | 98s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.160 | 3.087 | 29.753 | 68.704 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are K9s against 98s, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. K9s is worth $137.40 on average (+$37.40); 98s is worth $62.60 (-$37.40).
Per 1,000 deals: K9s wins about 672, 98s wins about 297, and about 31 end in a split pot.
The same matchup from the other side
Swap the hands and you get 98s with 31.30% against K9s with 68.70%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Ks9s against 9h8h 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
Each figure is a complete count over boards. Take the 12 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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