KJo
40.13%
Wins 39.89%, ties 0.49%
A4s
59.87%
Wins 59.62%, ties 0.49%
KJo against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 39.888 | 0.492 | 59.620 | 40.134 |
| A4s | 59.620 | 0.492 | 39.888 | 59.866 |
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.
A4s is ahead, but KJo is far from dead: it takes 399 of every 1,000 deals outright. A split pot comes up on 0.49% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, KJo is number 26 of the 169 starting hands and A4s is number 35.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 32,784,000 | 404,000 | 49,002,000 |
| A4s | 49,002,000 | 404,000 | 32,784,000 |
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) |
|---|---|---|---|---|
| KJo | 0.670 | 2.507 | 1.677 | 1.492 |
| A4s | 1.492 | 1.677 | 2.507 | 0.670 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for A4s (77.61%); rainbow flops topped by a ten or better are the worst (52.18%). A4s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KJo wins | Ties | A4s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.759 | 0.129 | 52.112 | 47.823 |
| Rainbow, nine or lower | 7.042 | 21.841 | 1.096 | 77.063 | 22.389 |
| Two-tone | 46.667 | 40.289 | 0.322 | 59.389 | 40.450 |
| Monotone | 5.212 | 42.275 | 2.410 | 55.315 | 43.480 |
| Paired | 17.091 | 34.451 | 0.632 | 64.917 | 34.767 |
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
The table below sets each hand against its own random-hand baseline: a change of -20.44 points for KJo, from 60.57%, and +0.84 for A4s, from 59.03%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 40.134 | 60.569 | -20.435 | 0.66262 |
| KJo, rainbow, ten or higher | 47.823 | 60.569 | -12.746 | 0.78956 |
| KJo, rainbow, nine or lower | 22.389 | 60.569 | -38.180 | 0.36964 |
| KJo, two-tone | 40.450 | 60.569 | -20.119 | 0.66783 |
| KJo, monotone | 43.480 | 60.569 | -17.089 | 0.71786 |
| KJo, paired | 34.767 | 60.569 | -25.802 | 0.57401 |
| A4s, all flops | 59.866 | 59.034 | +0.832 | 1.01409 |
| A4s, rainbow, ten or higher | 52.177 | 59.034 | -6.857 | 0.88385 |
| A4s, rainbow, nine or lower | 77.611 | 59.034 | +18.577 | 1.31468 |
| A4s, two-tone | 59.550 | 59.034 | +0.516 | 1.00874 |
| A4s, monotone | 56.520 | 59.034 | -2.514 | 0.95741 |
| A4s, paired | 65.233 | 59.034 | +6.199 | 1.10501 |
Does a shared suit matter?
Split by suits, the deals give A4s 59.53% when the hands overlap in a suit and 60.20% when they do not. A4s does better with no shared suit, by 0.67 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | A4s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 40.204 | 0.533 | 59.263 | 40.471 |
| No shared suit | 24 | 50.00 | 39.571 | 0.451 | 59.978 | 39.797 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A4s gets $119.74 of it on average and KJo gets $80.26.
Over a long run, 1,000 deals split into about 596 for A4s, 399 for KJo and 5 tied.
The same matchup from the other side
A4s versus KJo is this same page seen from the other hand: 59.87% for A4s, 40.13% for KJo.
Keep exploring
Try KsJh against Ad4d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KJo against A4s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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