KJo
59.13%
Wins 58.78%, ties 0.71%
54s
40.87%
Wins 40.51%, ties 0.71%
KJo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 58.775 | 0.705 | 40.520 | 59.128 |
| 54s | 40.520 | 0.705 | 58.775 | 40.872 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
KJo is ahead, but 54s is far from dead: it takes 405 of every 1,000 deals outright. Split pots make up 0.71% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, KJo is number 26 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 48,308,000 | 579,000 | 33,304,000 |
| 54s | 33,304,000 | 579,000 | 48,308,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| KJo | 1.447 | 1.701 | 2.468 | 0.691 |
| 54s | 0.691 | 2.468 | 1.701 | 1.447 |
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
Split by what the flop looks like, KJo peaks at 67.28% on rainbow flops topped by a ten or better and bottoms out at 32.37% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 54s is the favorite even though KJo is ahead overall.
| Flop | Share of flops | KJo wins | Ties | 54s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.124 | 0.316 | 32.560 | 67.282 |
| Rainbow, nine or lower | 6.313 | 31.899 | 0.934 | 67.167 | 32.366 |
| Two-tone | 46.667 | 57.265 | 0.419 | 42.316 | 57.475 |
| Monotone | 5.212 | 56.380 | 2.559 | 41.061 | 57.659 |
| Paired | 17.091 | 61.484 | 1.400 | 37.116 | 62.184 |
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, KJo changes by -1.44 points (baseline 60.57%) and 54s by -0.58 points (baseline 41.45%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 59.128 | 60.569 | -1.441 | 0.97621 |
| KJo, rainbow, ten or higher | 67.282 | 60.569 | +6.713 | 1.11083 |
| KJo, rainbow, nine or lower | 32.366 | 60.569 | -28.203 | 0.53437 |
| KJo, two-tone | 57.475 | 60.569 | -3.094 | 0.94892 |
| KJo, monotone | 57.659 | 60.569 | -2.910 | 0.95196 |
| KJo, paired | 62.184 | 60.569 | +1.615 | 1.02666 |
| 54s, all flops | 40.872 | 41.453 | -0.581 | 0.98598 |
| 54s, rainbow, ten or higher | 32.718 | 41.453 | -8.735 | 0.78928 |
| 54s, rainbow, nine or lower | 67.634 | 41.453 | +26.181 | 1.63158 |
| 54s, two-tone | 42.525 | 41.453 | +1.072 | 1.02586 |
| 54s, monotone | 42.341 | 41.453 | +0.888 | 1.02142 |
| 54s, paired | 37.816 | 41.453 | -3.637 | 0.91226 |
Does a shared suit matter?
Does suit overlap move the numbers? KJo has 59.82% when the hands share a suit and 58.44% when they do not. KJo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 54s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.443 | 0.745 | 39.812 | 59.815 |
| No shared suit | 24 | 50.00 | 58.108 | 0.665 | 41.227 | 58.440 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KJo against 54s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJo's average share is $118.26 (a gain of $18.26) and 54s' is $81.74 (a loss of $18.26).
Scaled to 1,000 deals, that is roughly 588 wins for KJo, 405 for 54s and 7 chopped pots.
The same matchup from the other side
54s versus KJo is this same page seen from the other hand: 40.87% for 54s, 59.13% for KJo.
Keep exploring
KsJh against 5d4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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