KJs
62.68%
Wins 62.33%, ties 0.70%
75s
37.32%
Wins 36.97%, ties 0.70%
KJs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 62.332 | 0.702 | 36.966 | 62.683 |
| 75s | 36.966 | 0.702 | 62.332 | 37.317 |
This is a contest between two suited hands, KJs and 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 25.36 point lead is real, and 75s still takes about 370 of every 1,000 deals outright. Ties are 0.70% of the outcomes here; each tied board gives both hands half the pot.
For context, KJs sits at number 20 of 169 starting hands and 75s at number 124 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 17,077,000 | 192,000 | 10,128,000 |
| 75s | 10,128,000 | 192,000 | 17,077,000 |
16 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) |
|---|---|---|---|---|
| KJs | 1.680 | 1.604 | 2.705 | 0.595 |
| 75s | 0.595 | 2.705 | 1.604 | 1.680 |
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 KJs (69.96%); low rainbow flops (nine high or lower) are the worst (35.47%). The overall edge for KJs hides low rainbow flops (nine high or lower), where 75s comes out in front.
| Flop | Share of flops | KJs wins | Ties | 75s wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.805 | 0.308 | 29.887 | 69.959 |
| Rainbow, nine or lower | 6.314 | 35.132 | 0.665 | 64.203 | 35.465 |
| Two-tone | 46.727 | 61.853 | 0.352 | 37.795 | 62.029 |
| Monotone | 5.273 | 58.221 | 3.499 | 38.280 | 59.971 |
| Paired | 17.091 | 64.205 | 1.378 | 34.417 | 64.894 |
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
The table below sets each hand against its own random-hand baseline: a change of +0.11 points for KJs, from 62.57%, and -6.36 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 62.683 | 62.567 | +0.116 | 1.00185 |
| KJs, rainbow, ten or higher | 69.959 | 62.567 | +7.392 | 1.11815 |
| KJs, rainbow, nine or lower | 35.465 | 62.567 | -27.102 | 0.56683 |
| KJs, two-tone | 62.029 | 62.567 | -0.538 | 0.99140 |
| KJs, monotone | 59.971 | 62.567 | -2.596 | 0.95851 |
| KJs, paired | 64.894 | 62.567 | +2.327 | 1.03719 |
| 75s, all flops | 37.317 | 43.676 | -6.359 | 0.85441 |
| 75s, rainbow, ten or higher | 30.041 | 43.676 | -13.635 | 0.68781 |
| 75s, rainbow, nine or lower | 64.535 | 43.676 | +20.859 | 1.47758 |
| 75s, two-tone | 37.971 | 43.676 | -5.705 | 0.86938 |
| 75s, monotone | 40.029 | 43.676 | -3.647 | 0.91650 |
| 75s, paired | 35.106 | 43.676 | -8.570 | 0.80378 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KJs has 64.97%; looking only at deals where they do not, 61.92%. KJs does better with a shared suit, by 3.05 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | 75s wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.569 | 0.793 | 34.638 | 64.965 |
| No shared suit | 12 | 75.00 | 61.587 | 0.672 | 37.741 | 61.923 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KJs averages $125.36 from the $200, up $25.36; 75s averages $74.64, down $25.36.
Think in thousands: about 623 of 1,000 go to KJs, about 370 go to 75s, and about 7 are chopped.
The same matchup from the other side
If you came looking for 75s against KJs, the numbers are the same with the hands swapped: 37.32% and 62.68%.
Keep exploring
Try KsJs against 7h5h 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
Nothing here is simulated. The 16 deals of KJs against 75s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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