KK
79.13%
Wins 78.89%, ties 0.47%
53s
20.87%
Wins 20.64%, ties 0.47%
KK against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 78.894 | 0.468 | 20.638 | 79.128 |
| 53s | 20.638 | 0.468 | 78.894 | 20.872 |
KK, a pocket pair, plays 53s, a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
A lead of 58.26 points is large but not decisive: 53s still takes about 206 of every 1,000 deals. About 0.47% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 2 of 169 belongs to KK and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 32,422,000 | 192,000 | 8,481,000 |
| 53s | 8,481,000 | 192,000 | 32,422,000 |
24 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 | 3.791 | 1.268 | 4.845 | 0.264 |
| 53s | 0.264 | 4.845 | 1.268 | 3.791 |
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
KK prefers rainbow flops topped by a ten or better, where it holds 84.29%, and likes low rainbow flops (nine high or lower) least, where it holds 66.59%. KK 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 | KK wins | Ties | 53s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.169 | 0.247 | 15.584 | 84.292 |
| Rainbow, nine or lower | 6.314 | 66.019 | 1.146 | 32.835 | 66.592 |
| Two-tone | 46.545 | 77.012 | 0.401 | 22.587 | 77.212 |
| Monotone | 5.212 | 72.575 | 2.538 | 24.887 | 73.844 |
| Paired | 17.334 | 83.055 | 0.092 | 16.853 | 83.101 |
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
Compared with a random opponent, this matchup shifts KK from 82.40% by -3.27 points and 53s from 39.69% by -18.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 79.128 | 82.396 | -3.268 | 0.96034 |
| KK, rainbow, ten or higher | 84.292 | 82.396 | +1.896 | 1.02301 |
| KK, rainbow, nine or lower | 66.592 | 82.396 | -15.804 | 0.80819 |
| KK, two-tone | 77.212 | 82.396 | -5.184 | 0.93708 |
| KK, monotone | 73.844 | 82.396 | -8.552 | 0.89621 |
| KK, paired | 83.101 | 82.396 | +0.705 | 1.00856 |
| 53s, all flops | 20.872 | 39.693 | -18.821 | 0.52584 |
| 53s, rainbow, ten or higher | 15.708 | 39.693 | -23.985 | 0.39574 |
| 53s, rainbow, nine or lower | 33.408 | 39.693 | -6.285 | 0.84166 |
| 53s, two-tone | 22.788 | 39.693 | -16.905 | 0.57411 |
| 53s, monotone | 26.156 | 39.693 | -13.537 | 0.65896 |
| 53s, paired | 16.899 | 39.693 | -22.794 | 0.42574 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KK has 79.71%; looking only at deals where they do not, 78.55%. KK does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 53s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.456 | 0.508 | 20.036 | 79.710 |
| No shared suit | 12 | 50.00 | 78.333 | 0.428 | 21.239 | 78.547 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KK against 53s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $158.26 for KK and $41.74 for 53s; the first side gains $58.26 per all-in and the second gives up $58.26.
In 1,000 deals of exactly this matchup, expect about 789 won outright by KK, about 206 won outright by 53s and about 5 split.
The same matchup from the other side
Read it from the other side: 53s against KK is the same matchup with the numbers swapped, so 53s holds 20.87% and KK holds 79.13%. That address sends you back to this page.
Keep exploring
Try KsKh against 5d3d 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
Each figure is a complete count over boards. Take the 24 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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