KTo
59.54%
Wins 59.19%, ties 0.70%
54s
40.46%
Wins 40.11%, ties 0.70%
KTo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 59.186 | 0.704 | 40.110 | 59.538 |
| 54s | 40.110 | 0.704 | 59.186 | 40.462 |
KTo, an offsuit hand, plays 54s, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.70% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, KTo is number 33 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 48,645,000 | 579,000 | 32,967,000 |
| 54s | 32,967,000 | 579,000 | 48,645,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTo | 1.471 | 1.690 | 2.493 | 0.680 |
| 54s | 0.680 | 2.493 | 1.690 | 1.471 |
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
By flop texture, KTo's equity runs from 34.22% on low rainbow flops (nine high or lower) up to 67.44% on rainbow flops topped by a ten or better. The overall edge for KTo hides low rainbow flops (nine high or lower), where 54s comes out in front.
| Flop | Share of flops | KTo wins | Ties | 54s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.266 | 0.355 | 32.379 | 67.444 |
| Rainbow, nine or lower | 6.313 | 33.828 | 0.776 | 65.396 | 34.216 |
| Two-tone | 46.667 | 57.723 | 0.417 | 41.860 | 57.931 |
| Monotone | 5.212 | 56.699 | 2.555 | 40.746 | 57.977 |
| Paired | 17.091 | 61.622 | 1.404 | 36.974 | 62.324 |
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
Against one random hand instead, KTo holds 59.74% and 54s holds 41.45%. Facing each other changes that by -0.20 points for KTo and -0.99 points for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 59.538 | 59.739 | -0.201 | 0.99664 |
| KTo, rainbow, ten or higher | 67.444 | 59.739 | +7.705 | 1.12898 |
| KTo, rainbow, nine or lower | 34.216 | 59.739 | -25.523 | 0.57276 |
| KTo, two-tone | 57.931 | 59.739 | -1.808 | 0.96974 |
| KTo, monotone | 57.977 | 59.739 | -1.762 | 0.97051 |
| KTo, paired | 62.324 | 59.739 | +2.585 | 1.04327 |
| 54s, all flops | 40.462 | 41.453 | -0.991 | 0.97609 |
| 54s, rainbow, ten or higher | 32.556 | 41.453 | -8.897 | 0.78537 |
| 54s, rainbow, nine or lower | 65.784 | 41.453 | +24.331 | 1.58695 |
| 54s, two-tone | 42.069 | 41.453 | +0.616 | 1.01486 |
| 54s, monotone | 42.023 | 41.453 | +0.570 | 1.01375 |
| 54s, paired | 37.676 | 41.453 | -3.777 | 0.90888 |
Does a shared suit matter?
Does suit overlap move the numbers? KTo has 60.23% when the hands share a suit and 58.85% when they do not. KTo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 54s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.858 | 0.745 | 39.397 | 60.231 |
| No shared suit | 24 | 50.00 | 58.514 | 0.664 | 40.822 | 58.846 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are KTo in one seat and 54s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $119.08 for KTo and $80.92 for 54s; the first side gains $19.08 per all-in and the second gives up $19.08.
Run 1,000 deals and the tally comes out near 592 for KTo, 401 for 54s and 7 ties.
The same matchup from the other side
Swap the hands and you get 54s with 40.46% against KTo with 59.54%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with KsTh against 5d4d 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
We counted every case. Each suit pattern of the 48 specific KTo against 54s 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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