KTs
62.10%
Wins 61.73%, ties 0.74%
54s
37.90%
Wins 37.53%, ties 0.74%
KTs against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 61.725 | 0.739 | 37.536 | 62.095 |
| 54s | 37.536 | 0.739 | 61.725 | 37.905 |
The matchup is suited hands on both sides, KTs against 54s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.74% of boards, so the wins and the equity differ by half of that.
KTs ranks number 22 of 169 starting hands, and 54s ranks number 136, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 16,911,000 | 202,000 | 10,284,000 |
| 54s | 10,284,000 | 202,000 | 16,911,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KTs | 1.638 | 1.620 | 2.664 | 0.610 |
| 54s | 0.610 | 2.664 | 1.620 | 1.638 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, KTs' equity runs from 36.70% on low rainbow flops (nine high or lower) up to 68.77% on rainbow flops topped by a ten or better. 54s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | KTs wins | Ties | 54s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.598 | 0.344 | 31.058 | 68.770 |
| Rainbow, nine or lower | 6.314 | 36.324 | 0.745 | 62.931 | 36.696 |
| Two-tone | 46.727 | 61.212 | 0.393 | 38.395 | 61.408 |
| Monotone | 5.273 | 57.729 | 3.607 | 38.664 | 59.532 |
| Paired | 17.091 | 63.854 | 1.368 | 34.778 | 64.538 |
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
How much does the opponent matter? Compared with its random-hand 61.79%, KTs changes by +0.31 points, and 54s, from 41.45%, by -3.55.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 62.095 | 61.789 | +0.306 | 1.00495 |
| KTs, rainbow, ten or higher | 68.770 | 61.789 | +6.981 | 1.11298 |
| KTs, rainbow, nine or lower | 36.696 | 61.789 | -25.093 | 0.59389 |
| KTs, two-tone | 61.408 | 61.789 | -0.381 | 0.99383 |
| KTs, monotone | 59.532 | 61.789 | -2.257 | 0.96347 |
| KTs, paired | 64.538 | 61.789 | +2.749 | 1.04449 |
| 54s, all flops | 37.905 | 41.453 | -3.548 | 0.91441 |
| 54s, rainbow, ten or higher | 31.230 | 41.453 | -10.223 | 0.75338 |
| 54s, rainbow, nine or lower | 63.304 | 41.453 | +21.851 | 1.52713 |
| 54s, two-tone | 38.592 | 41.453 | -2.861 | 0.93098 |
| 54s, monotone | 40.468 | 41.453 | -0.985 | 0.97624 |
| 54s, paired | 35.462 | 41.453 | -5.991 | 0.85547 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and KTs holds 64.28%. In 12 they do not, and it holds 61.37%. KTs does better with a shared suit, by 2.91 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | 54s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.869 | 0.830 | 35.301 | 64.284 |
| No shared suit | 12 | 75.00 | 61.010 | 0.709 | 38.281 | 61.365 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are KTs against 54s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KTs averages $124.20 from the $200, up $24.20; 54s averages $75.80, down $24.20.
Think in thousands: about 617 of 1,000 go to KTs, about 375 go to 54s, and about 8 are chopped.
The same matchup from the other side
The mirror image, 54s against KTs, is 37.90% to 62.10%, and its address redirects to this page.
Keep exploring
Try KsTs against 5h4h 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 16 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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