K9s
41.75%
Wins 41.51%, ties 0.48%
A6s
58.25%
Wins 58.01%, ties 0.48%
K9s against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 41.506 | 0.483 | 58.011 | 41.748 |
| A6s | 58.011 | 0.483 | 41.506 | 58.252 |
Here suited hands face each other, K9s on one side and A6s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 16.50 point lead is real, and K9s still takes about 415 of every 1,000 deals outright. Split pots make up 0.48% of the boards, and both equity figures count them as half a win each.
K9s ranks number 29 of 169 starting hands, and A6s ranks number 31, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 11,371,000 | 132,000 | 15,893,000 |
| A6s | 15,893,000 | 132,000 | 11,371,000 |
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 | 0.717 | 2.409 | 1.724 | 1.395 |
| A6s | 1.395 | 1.724 | 2.409 | 0.717 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: A6s holds 63.03% on paired flops and 55.50% on monotone flops. A6s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | A6s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 41.999 | 0.136 | 57.865 | 42.067 |
| Rainbow, nine or lower | 6.366 | 42.484 | 0.781 | 56.735 | 42.874 |
| Two-tone | 46.727 | 42.744 | 0.241 | 57.015 | 42.865 |
| Monotone | 5.273 | 42.801 | 3.401 | 53.798 | 44.501 |
| Paired | 17.091 | 36.650 | 0.633 | 62.717 | 36.966 |
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
The table below sets each hand against its own random-hand baseline: a change of -18.24 points for K9s, from 59.99%, and -1.66 for A6s, from 59.91%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 41.748 | 59.988 | -18.240 | 0.69594 |
| K9s, rainbow, ten or higher | 42.067 | 59.988 | -17.921 | 0.70126 |
| K9s, rainbow, nine or lower | 42.874 | 59.988 | -17.114 | 0.71471 |
| K9s, two-tone | 42.865 | 59.988 | -17.123 | 0.71456 |
| K9s, monotone | 44.501 | 59.988 | -15.487 | 0.74183 |
| K9s, paired | 36.966 | 59.988 | -23.022 | 0.61622 |
| A6s, all flops | 58.252 | 59.906 | -1.654 | 0.97239 |
| A6s, rainbow, ten or higher | 57.933 | 59.906 | -1.973 | 0.96707 |
| A6s, rainbow, nine or lower | 57.126 | 59.906 | -2.780 | 0.95359 |
| A6s, two-tone | 57.135 | 59.906 | -2.771 | 0.95374 |
| A6s, monotone | 55.499 | 59.906 | -4.407 | 0.92643 |
| A6s, paired | 63.034 | 59.906 | +3.128 | 1.05222 |
Does a shared suit matter?
Does suit overlap move the numbers? A6s has 60.26% when the hands share a suit and 57.58% when they do not. A6s does better with a shared suit, by 2.68 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | A6s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 39.458 | 0.560 | 59.982 | 39.738 |
| No shared suit | 12 | 75.00 | 42.188 | 0.458 | 57.354 | 42.417 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are K9s in one seat and A6s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Take a $200 pot built from $100 each. A6s' equity of 58.25% is worth $116.50, a $16.50 edge, and K9s' 41.75% is worth $83.50, which is $16.50 under its stake.
Per 1,000 deals: A6s wins about 580, K9s wins about 415, and about 5 end in a split pot.
The same matchup from the other side
A6s versus K9s is this same page seen from the other hand: 58.25% for A6s, 41.75% for K9s.
Keep exploring
Ks9s against Ah6h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 16 specific K9s against A6s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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