K9s
61.54%
Wins 61.18%, ties 0.72%
65s
38.46%
Wins 38.10%, ties 0.72%
K9s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 61.183 | 0.716 | 38.101 | 61.541 |
| 65s | 38.101 | 0.716 | 61.183 | 38.459 |
K9s meets 65s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.72% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, K9s is number 29 and 65s is number 128 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 16,762,000 | 196,000 | 10,438,000 |
| 65s | 10,438,000 | 196,000 | 16,762,000 |
16 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 | 1.600 | 1.634 | 2.625 | 0.625 |
| 65s | 0.625 | 2.625 | 1.634 | 1.600 |
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
If you know the kind of flop that came, the numbers shift: K9s holds 66.03% on rainbow flops topped by a ten or better and 41.77% on low rainbow flops (nine high or lower). 65s is ahead on low rainbow flops (nine high or lower), even though it trails K9s when every flop is counted.
| Flop | Share of flops | K9s wins | Ties | 65s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.864 | 0.326 | 33.810 | 66.027 |
| Rainbow, nine or lower | 5.689 | 41.435 | 0.670 | 57.895 | 41.770 |
| Two-tone | 46.727 | 60.624 | 0.358 | 39.018 | 60.803 |
| Monotone | 5.273 | 57.231 | 3.523 | 39.246 | 58.992 |
| Paired | 17.091 | 63.596 | 1.417 | 34.987 | 64.305 |
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
Against one random hand instead, K9s holds 59.99% and 65s holds 43.13%. Facing each other changes that by +1.55 points for K9s and -4.67 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 61.541 | 59.988 | +1.553 | 1.02589 |
| K9s, rainbow, ten or higher | 66.027 | 59.988 | +6.039 | 1.10067 |
| K9s, rainbow, nine or lower | 41.770 | 59.988 | -18.218 | 0.69631 |
| K9s, two-tone | 60.803 | 59.988 | +0.815 | 1.01359 |
| K9s, monotone | 58.992 | 59.988 | -0.996 | 0.98340 |
| K9s, paired | 64.305 | 59.988 | +4.317 | 1.07196 |
| 65s, all flops | 38.459 | 43.133 | -4.674 | 0.89164 |
| 65s, rainbow, ten or higher | 33.973 | 43.133 | -9.160 | 0.78763 |
| 65s, rainbow, nine or lower | 58.230 | 43.133 | +15.097 | 1.35001 |
| 65s, two-tone | 39.197 | 43.133 | -3.936 | 0.90875 |
| 65s, monotone | 41.008 | 43.133 | -2.125 | 0.95073 |
| 65s, paired | 35.695 | 43.133 | -7.438 | 0.82756 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, K9s has 63.71%; looking only at deals where they do not, 60.82%. K9s does better with a shared suit, by 2.89 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | 65s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.312 | 0.804 | 35.884 | 63.714 |
| No shared suit | 12 | 75.00 | 60.473 | 0.686 | 38.841 | 60.816 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, K9s' average share is $123.08 (a gain of $23.08) and 65s' is $76.92 (a loss of $23.08).
A thousand deals look like this: K9s takes 612, 65s takes 381, 7 are ties.
The same matchup from the other side
Read it from the other side: 65s against K9s is the same matchup with the numbers swapped, so 65s holds 38.46% and K9s holds 61.54%. That address sends you back to this page.
Keep exploring
Try Ks9s against 6h5h 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
This is an exact count with no sampling. For the 16 ways to deal one K9s and one 65s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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