KJo
40.05%
Wins 39.81%, ties 0.48%
A5s
59.95%
Wins 59.71%, ties 0.48%
KJo against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 39.809 | 0.480 | 59.711 | 40.049 |
| A5s | 59.711 | 0.480 | 39.809 | 59.951 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 19.90 point lead is real, and KJo still takes about 398 of every 1,000 deals outright. A split pot comes up on 0.48% 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 A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 32,719,000 | 395,000 | 49,077,000 |
| A5s | 49,077,000 | 395,000 | 32,719,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KJo | 0.668 | 2.512 | 1.675 | 1.497 |
| A5s | 1.497 | 1.675 | 2.512 | 0.668 |
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
The flop changes the picture. A5s does best on low rainbow flops (nine high or lower), at 77.83%, and worst on rainbow flops topped by a ten or better, at 52.26%. A5s 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 | A5s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.679 | 0.128 | 52.193 | 47.743 |
| Rainbow, nine or lower | 7.042 | 21.659 | 1.026 | 77.315 | 22.172 |
| Two-tone | 46.667 | 40.197 | 0.310 | 59.493 | 40.352 |
| Monotone | 5.212 | 42.211 | 2.404 | 55.385 | 43.413 |
| Paired | 17.091 | 34.451 | 0.628 | 64.921 | 34.765 |
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
Relative to a random opponent, KJo changes by -20.52 points (baseline 60.57%) and A5s by +0.03 points (baseline 59.92%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 40.049 | 60.569 | -20.520 | 0.66121 |
| KJo, rainbow, ten or higher | 47.743 | 60.569 | -12.826 | 0.78824 |
| KJo, rainbow, nine or lower | 22.172 | 60.569 | -38.397 | 0.36606 |
| KJo, two-tone | 40.352 | 60.569 | -20.217 | 0.66622 |
| KJo, monotone | 43.413 | 60.569 | -17.156 | 0.71675 |
| KJo, paired | 34.765 | 60.569 | -25.804 | 0.57397 |
| A5s, all flops | 59.951 | 59.923 | +0.028 | 1.00047 |
| A5s, rainbow, ten or higher | 52.257 | 59.923 | -7.666 | 0.87207 |
| A5s, rainbow, nine or lower | 77.828 | 59.923 | +17.905 | 1.29880 |
| A5s, two-tone | 59.648 | 59.923 | -0.275 | 0.99541 |
| A5s, monotone | 56.587 | 59.923 | -3.336 | 0.94433 |
| A5s, paired | 65.235 | 59.923 | +5.312 | 1.08865 |
Does a shared suit matter?
The suit split reads 59.62% for A5s with a shared suit and 60.29% without one. A5s does better with no shared suit, by 0.67 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | A5s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 40.124 | 0.521 | 59.355 | 40.384 |
| No shared suit | 24 | 50.00 | 39.495 | 0.439 | 60.066 | 39.714 |
How often this matchup comes up
Counting specific cards, KJo against A5s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A5s gets $119.90 of it on average and KJo gets $80.10.
Run 1,000 deals and the tally comes out near 597 for A5s, 398 for KJo and 5 ties.
The same matchup from the other side
If you came looking for A5s against KJo, the numbers are the same with the hands swapped: 59.95% and 40.05%.
Keep exploring
Open the calculator with KsJh against Ad5d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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