KK
92.35%
Wins 91.69%, ties 1.31%
K9o
7.65%
Wins 7.00%, ties 1.31%
KK against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 91.689 | 1.312 | 6.999 | 92.345 |
| K9o | 6.999 | 1.312 | 91.689 | 7.655 |
We compare a pocket pair with an offsuit hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
A gap this wide means K9o is in trouble before the flop and has few good runouts. About 1.31% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, KK is number 2 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 56,520,000 | 809,000 | 4,314,000 |
| K9o | 4,314,000 | 809,000 | 56,520,000 |
36 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) |
|---|---|---|---|---|
| KK | 12.063 | 1.091 | 14.288 | 0.083 |
| K9o | 0.083 | 14.288 | 1.091 | 12.063 |
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
Break the boards down by their first three cards and KK is strongest on low rainbow flops (nine high or lower) (94.04%) and weakest on monotone flops (83.19%). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | K9o wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.782 | 92.731 | 1.602 | 5.667 | 93.532 |
| Rainbow, nine or lower | 7.042 | 93.476 | 1.123 | 5.401 | 94.037 |
| Two-tone | 46.215 | 91.665 | 1.422 | 6.913 | 92.376 |
| Monotone | 5.130 | 82.208 | 1.967 | 15.825 | 83.191 |
| Paired | 17.831 | 92.383 | 0.525 | 7.092 | 92.646 |
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
Relative to a random opponent, KK changes by +9.95 points (baseline 82.40%) and K9o by -50.16 points (baseline 57.81%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 92.345 | 82.396 | +9.949 | 1.12075 |
| KK, rainbow, ten or higher | 93.532 | 82.396 | +11.136 | 1.13515 |
| KK, rainbow, nine or lower | 94.037 | 82.396 | +11.641 | 1.14128 |
| KK, two-tone | 92.376 | 82.396 | +9.980 | 1.12112 |
| KK, monotone | 83.191 | 82.396 | +0.795 | 1.00965 |
| KK, paired | 92.646 | 82.396 | +10.250 | 1.12440 |
| K9o, all flops | 7.655 | 57.812 | -50.157 | 0.13241 |
| K9o, rainbow, ten or higher | 6.468 | 57.812 | -51.344 | 0.11188 |
| K9o, rainbow, nine or lower | 5.963 | 57.812 | -51.849 | 0.10314 |
| K9o, two-tone | 7.624 | 57.812 | -50.188 | 0.13188 |
| K9o, monotone | 16.809 | 57.812 | -41.003 | 0.29075 |
| K9o, paired | 7.354 | 57.812 | -50.458 | 0.12721 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KK has 92.64%; looking only at deals where they do not, 91.76%. KK does better with a shared suit, by 0.88 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | K9o wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 91.965 | 1.343 | 6.692 | 92.637 |
| No shared suit | 12 | 33.33 | 91.137 | 1.248 | 7.615 | 91.761 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are KK against K9o, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $184.70 for KK and $15.30 for K9o; the first side gains $84.70 per all-in and the second gives up $84.70.
Over a long run, 1,000 deals split into about 917 for KK, 70 for K9o and 13 tied.
The same matchup from the other side
If you came looking for K9o against KK, the numbers are the same with the hands swapped: 7.65% and 92.35%.
Keep exploring
Open the calculator with KsKh against Kd9c 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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