KJo
60.15%
Wins 59.81%, ties 0.67%
75s
39.85%
Wins 39.52%, ties 0.67%
KJo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 59.813 | 0.668 | 39.519 | 60.147 |
| 75s | 39.519 | 0.668 | 59.813 | 39.853 |
We compare an offsuit hand with a suited hand. 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. 0.67% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, KJo is number 26 and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,161,000 | 549,000 | 32,481,000 |
| 75s | 32,481,000 | 549,000 | 49,161,000 |
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 | 1.509 | 1.672 | 2.530 | 0.663 |
| 75s | 0.663 | 2.530 | 1.672 | 1.509 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for KJo (68.66%); low rainbow flops (nine high or lower) are the worst (32.93%). 75s 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 | KJo wins | Ties | 75s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.498 | 0.317 | 31.185 | 68.656 |
| Rainbow, nine or lower | 6.313 | 32.586 | 0.697 | 66.717 | 32.934 |
| Two-tone | 46.667 | 58.395 | 0.375 | 41.230 | 58.582 |
| Monotone | 5.212 | 57.208 | 2.474 | 40.318 | 58.445 |
| Paired | 17.091 | 61.979 | 1.415 | 36.606 | 62.687 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 60.57% for KJo, 43.68% for 75s. Here the change is -0.42 and -3.83 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.147 | 60.569 | -0.422 | 0.99303 |
| KJo, rainbow, ten or higher | 68.656 | 60.569 | +8.087 | 1.13352 |
| KJo, rainbow, nine or lower | 32.934 | 60.569 | -27.635 | 0.54374 |
| KJo, two-tone | 58.582 | 60.569 | -1.987 | 0.96719 |
| KJo, monotone | 58.445 | 60.569 | -2.124 | 0.96493 |
| KJo, paired | 62.687 | 60.569 | +2.118 | 1.03497 |
| 75s, all flops | 39.853 | 43.676 | -3.823 | 0.91247 |
| 75s, rainbow, ten or higher | 31.344 | 43.676 | -12.332 | 0.71765 |
| 75s, rainbow, nine or lower | 67.066 | 43.676 | +23.390 | 1.53553 |
| 75s, two-tone | 41.418 | 43.676 | -2.258 | 0.94830 |
| 75s, monotone | 41.555 | 43.676 | -2.121 | 0.95144 |
| 75s, paired | 37.313 | 43.676 | -6.363 | 0.85431 |
Does a shared suit matter?
Does suit overlap move the numbers? KJo has 60.85% when the hands share a suit and 59.44% when they do not. KJo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 75s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.499 | 0.710 | 38.791 | 60.854 |
| No shared suit | 24 | 50.00 | 59.127 | 0.627 | 40.246 | 59.440 |
How often this matchup comes up
KJo against 75s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJo's average share is $120.30 (a gain of $20.30) and 75s' is $79.70 (a loss of $20.30).
Scaled to 1,000 deals, that is roughly 598 wins for KJo, 395 for 75s and 7 chopped pots.
The same matchup from the other side
75s versus KJo is this same page seen from the other hand: 39.85% for 75s, 60.15% for KJo.
Keep exploring
Try KsJh against 7d5d 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
This is an exact count with no sampling. For the 48 ways to deal one KJo and one 75s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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