KQs
42.53%
Wins 42.26%, ties 0.53%
A5s
57.47%
Wins 57.21%, ties 0.53%
KQs against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 42.262 | 0.531 | 57.207 | 42.527 |
| A5s | 57.207 | 0.531 | 42.262 | 57.473 |
Both hands are suited hands: KQs and A5s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.53% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, KQs is number 16 of the 169 starting hands and A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 11,578,000 | 145,000 | 15,673,000 |
| A5s | 15,673,000 | 145,000 | 11,578,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQs | 0.740 | 2.366 | 1.748 | 1.351 |
| A5s | 1.351 | 1.748 | 2.366 | 0.740 |
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
Break the boards down by their first three cards and A5s is strongest on low rainbow flops (nine high or lower) (75.94%) and weakest on rainbow flops topped by a ten or better (51.27%). 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 | KQs wins | Ties | A5s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 48.669 | 0.117 | 51.214 | 48.728 |
| Rainbow, nine or lower | 7.042 | 23.527 | 1.077 | 75.396 | 24.065 |
| Two-tone | 46.727 | 43.525 | 0.298 | 56.177 | 43.674 |
| Monotone | 5.273 | 43.460 | 3.442 | 53.098 | 45.181 |
| Paired | 17.091 | 37.210 | 0.624 | 62.166 | 37.522 |
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
Relative to a random opponent, KQs changes by -20.87 points (baseline 63.40%) and A5s by -2.45 points (baseline 59.92%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 42.527 | 63.400 | -20.873 | 0.67077 |
| KQs, rainbow, ten or higher | 48.728 | 63.400 | -14.672 | 0.76858 |
| KQs, rainbow, nine or lower | 24.065 | 63.400 | -39.335 | 0.37957 |
| KQs, two-tone | 43.674 | 63.400 | -19.726 | 0.68886 |
| KQs, monotone | 45.181 | 63.400 | -18.219 | 0.71263 |
| KQs, paired | 37.522 | 63.400 | -25.878 | 0.59183 |
| A5s, all flops | 57.473 | 59.923 | -2.450 | 0.95911 |
| A5s, rainbow, ten or higher | 51.272 | 59.923 | -8.651 | 0.85563 |
| A5s, rainbow, nine or lower | 75.935 | 59.923 | +16.012 | 1.26721 |
| A5s, two-tone | 56.326 | 59.923 | -3.597 | 0.93997 |
| A5s, monotone | 54.819 | 59.923 | -5.104 | 0.91482 |
| A5s, paired | 62.478 | 59.923 | +2.555 | 1.04264 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A5s has 59.41% equity, and with none in common it has 56.83%. A5s does better with a shared suit, by 2.58 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | A5s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 40.279 | 0.613 | 59.108 | 40.586 |
| No shared suit | 12 | 75.00 | 42.922 | 0.504 | 56.574 | 43.174 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Take a $200 pot built from $100 each. A5s' equity of 57.47% is worth $114.94, a $14.94 edge, and KQs' 42.53% is worth $85.06, which is $14.94 under its stake.
Per 1,000 deals: A5s wins about 572, KQs wins about 423, and about 5 end in a split pot.
The same matchup from the other side
A5s versus KQs is this same page seen from the other hand: 57.47% for A5s, 42.53% for KQs.
Keep exploring
KsQs against Ah5h 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
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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