K9s
62.75%
Wins 62.37%, ties 0.76%
53s
37.25%
Wins 36.87%, ties 0.76%
K9s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 62.367 | 0.758 | 36.875 | 62.746 |
| 53s | 36.875 | 0.758 | 62.367 | 37.254 |
Here suited hands face each other, K9s on one side and 53s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
K9s is ahead, but 53s is far from dead: it takes 369 of every 1,000 deals outright. Split pots make up 0.76% of the boards, and both equity figures count them as half a win each.
The hand ranking puts K9s at 29 and 53s at 146 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 17,087,000 | 208,000 | 10,103,000 |
| 53s | 10,103,000 | 208,000 | 17,087,000 |
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) |
|---|---|---|---|---|
| K9s | 1.684 | 1.603 | 2.712 | 0.594 |
| 53s | 0.594 | 2.712 | 1.603 | 1.684 |
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 K9s (66.40%); low rainbow flops (nine high or lower) are the worst (47.37%). The overall edge for K9s hides low rainbow flops (nine high or lower), where 53s comes out in front.
| Flop | Share of flops | K9s wins | Ties | 53s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.222 | 0.358 | 33.420 | 66.401 |
| Rainbow, nine or lower | 5.689 | 46.955 | 0.832 | 52.213 | 47.371 |
| Two-tone | 46.727 | 61.805 | 0.407 | 37.788 | 62.009 |
| Monotone | 5.273 | 58.168 | 3.620 | 38.212 | 59.978 |
| Paired | 17.091 | 64.636 | 1.403 | 33.961 | 65.337 |
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 53s holds 39.69%. Facing each other changes that by +2.76 points for K9s and -2.44 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 62.746 | 59.988 | +2.758 | 1.04598 |
| K9s, rainbow, ten or higher | 66.401 | 59.988 | +6.413 | 1.10690 |
| K9s, rainbow, nine or lower | 47.371 | 59.988 | -12.617 | 0.78967 |
| K9s, two-tone | 62.009 | 59.988 | +2.021 | 1.03369 |
| K9s, monotone | 59.978 | 59.988 | -0.010 | 0.99983 |
| K9s, paired | 65.337 | 59.988 | +5.349 | 1.08917 |
| 53s, all flops | 37.254 | 39.693 | -2.439 | 0.93855 |
| 53s, rainbow, ten or higher | 33.599 | 39.693 | -6.094 | 0.84647 |
| 53s, rainbow, nine or lower | 52.629 | 39.693 | +12.936 | 1.32590 |
| 53s, two-tone | 37.991 | 39.693 | -1.702 | 0.95712 |
| 53s, monotone | 40.022 | 39.693 | +0.329 | 1.00829 |
| 53s, paired | 34.663 | 39.693 | -5.030 | 0.87328 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common K9s has 65.03% equity, and with none in common it has 61.99%. K9s does better with a shared suit, by 3.04 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | 53s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.601 | 0.848 | 34.551 | 65.025 |
| No shared suit | 12 | 75.00 | 61.622 | 0.728 | 37.650 | 61.986 |
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
Put $100 each into a $200 pot and deal every board once: K9s averages $125.50 back, ahead of its $100 by $25.50, while 53s averages $74.50, short of its $100 by $25.50.
Over a long run, 1,000 deals split into about 624 for K9s, 369 for 53s and 7 tied.
The same matchup from the other side
53s against K9s adds nothing new: it is 37.25% for 53s and 62.75% for K9s, the same figures reversed.
Keep exploring
Try Ks9s against 5h3h 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
We counted every case. Each suit pattern of the 16 specific K9s against 53s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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