K9s
41.91%
Wins 41.64%, ties 0.53%
A4s
58.09%
Wins 57.83%, ties 0.53%
K9s against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 41.642 | 0.531 | 57.827 | 41.907 |
| A4s | 57.827 | 0.531 | 41.642 | 58.093 |
K9s and A4s are both suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A4s is ahead, but K9s is far from dead: it takes 417 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.
K9s ranks number 29 of 169 starting hands, and A4s ranks number 35, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 11,409,000 | 145,000 | 15,843,000 |
| A4s | 15,843,000 | 145,000 | 11,409,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| K9s | 0.721 | 2.401 | 1.729 | 1.386 |
| A4s | 1.386 | 1.729 | 2.401 | 0.721 |
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
If you know the kind of flop that came, the numbers shift: A4s holds 62.96% on paired flops and 55.42% on monotone flops. A4s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | A4s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 42.089 | 0.173 | 57.738 | 42.176 |
| Rainbow, nine or lower | 6.366 | 43.020 | 0.939 | 56.041 | 43.490 |
| Two-tone | 46.727 | 42.881 | 0.294 | 56.825 | 43.028 |
| Monotone | 5.273 | 42.860 | 3.439 | 53.701 | 44.579 |
| Paired | 17.091 | 36.725 | 0.641 | 62.634 | 37.045 |
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, K9s changes by -18.08 points (baseline 59.99%) and A4s by -0.94 points (baseline 59.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 41.907 | 59.988 | -18.081 | 0.69859 |
| K9s, rainbow, ten or higher | 42.176 | 59.988 | -17.812 | 0.70307 |
| K9s, rainbow, nine or lower | 43.490 | 59.988 | -16.498 | 0.72498 |
| K9s, two-tone | 43.028 | 59.988 | -16.960 | 0.71728 |
| K9s, monotone | 44.579 | 59.988 | -15.409 | 0.74313 |
| K9s, paired | 37.045 | 59.988 | -22.943 | 0.61754 |
| A4s, all flops | 58.093 | 59.034 | -0.941 | 0.98406 |
| A4s, rainbow, ten or higher | 57.824 | 59.034 | -1.210 | 0.97950 |
| A4s, rainbow, nine or lower | 56.510 | 59.034 | -2.524 | 0.95724 |
| A4s, two-tone | 56.972 | 59.034 | -2.062 | 0.96507 |
| A4s, monotone | 55.421 | 59.034 | -3.613 | 0.93880 |
| A4s, paired | 62.955 | 59.034 | +3.921 | 1.06642 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A4s at 60.09%) and 12 do not (57.43%). A4s does better with a shared suit, by 2.66 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | A4s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 39.605 | 0.613 | 59.782 | 39.912 |
| No shared suit | 12 | 75.00 | 42.321 | 0.503 | 57.176 | 42.573 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. A4s' equity of 58.09% is worth $116.18, a $16.18 edge, and K9s' 41.91% is worth $83.82, which is $16.18 under its stake.
In 1,000 deals of exactly this matchup, expect about 578 won outright by A4s, about 417 won outright by K9s and about 5 split.
The same matchup from the other side
Read it from the other side: A4s against K9s is the same matchup with the numbers swapped, so A4s holds 58.09% and K9s holds 41.91%. That address sends you back to this page.
Keep exploring
The calculator link fills in Ks9s against Ah4h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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