KJs
42.91%
Wins 42.65%, ties 0.53%
A4s
57.09%
Wins 56.82%, ties 0.53%
KJs against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 42.648 | 0.533 | 56.819 | 42.914 |
| A4s | 56.819 | 0.533 | 42.648 | 57.086 |
This is a contest between two suited hands, KJs and A4s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A4s is ahead, but KJs is far from dead: it takes 427 of every 1,000 deals outright. Ties are part of the picture: 0.53% of boards end in a split pot, and each side counts that as half a win.
Place 20 of 169 belongs to KJs and place 35 belongs to A4s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 11,684,000 | 146,000 | 15,567,000 |
| A4s | 15,567,000 | 146,000 | 11,684,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| KJs | 0.752 | 2.345 | 1.760 | 1.330 |
| A4s | 1.330 | 1.760 | 2.345 | 0.752 |
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
Low rainbow flops (nine high or lower) are the best for A4s (75.13%); rainbow flops topped by a ten or better are the worst (50.88%). 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 | KJs wins | Ties | A4s wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.063 | 0.124 | 50.813 | 49.125 |
| Rainbow, nine or lower | 7.042 | 24.344 | 1.052 | 74.604 | 24.870 |
| Two-tone | 46.727 | 43.946 | 0.298 | 55.756 | 44.095 |
| Monotone | 5.273 | 43.757 | 3.442 | 52.801 | 45.478 |
| Paired | 17.091 | 37.339 | 0.633 | 62.028 | 37.656 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 62.57%, KJs changes by -19.66 points, and A4s, from 59.03%, by -1.94.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 42.914 | 62.567 | -19.653 | 0.68589 |
| KJs, rainbow, ten or higher | 49.125 | 62.567 | -13.442 | 0.78516 |
| KJs, rainbow, nine or lower | 24.870 | 62.567 | -37.697 | 0.39749 |
| KJs, two-tone | 44.095 | 62.567 | -18.472 | 0.70476 |
| KJs, monotone | 45.478 | 62.567 | -17.089 | 0.72687 |
| KJs, paired | 37.656 | 62.567 | -24.911 | 0.60185 |
| A4s, all flops | 57.086 | 59.034 | -1.948 | 0.96700 |
| A4s, rainbow, ten or higher | 50.875 | 59.034 | -8.159 | 0.86179 |
| A4s, rainbow, nine or lower | 75.130 | 59.034 | +16.096 | 1.27266 |
| A4s, two-tone | 55.905 | 59.034 | -3.129 | 0.94700 |
| A4s, monotone | 54.522 | 59.034 | -4.512 | 0.92357 |
| A4s, paired | 62.344 | 59.034 | +3.310 | 1.05607 |
Does a shared suit matter?
Does suit overlap move the numbers? A4s has 58.99% when the hands share a suit and 56.45% when they do not. A4s does better with a shared suit, by 2.54 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | A4s wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 40.704 | 0.615 | 58.681 | 41.011 |
| No shared suit | 12 | 75.00 | 43.296 | 0.505 | 56.199 | 43.549 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A4s is worth $114.18 on average (+$14.18); KJs is worth $85.82 (-$14.18).
In 1,000 deals of exactly this matchup, expect about 568 won outright by A4s, about 427 won outright by KJs and about 5 split.
The same matchup from the other side
A4s versus KJs is this same page seen from the other hand: 57.09% for A4s, 42.91% for KJs.
Keep exploring
Try KsJs against Ah4h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session