KQo
39.72%
Wins 39.48%, ties 0.49%
A5s
60.28%
Wins 60.03%, ties 0.49%
KQo against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 39.477 | 0.492 | 60.031 | 39.723 |
| A5s | 60.031 | 0.492 | 39.477 | 60.277 |
The first hand is an offsuit hand; the second is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A5s is ahead, but KQo is far from dead: it takes 395 of every 1,000 deals outright. Ties are part of the picture: 0.49% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, KQo is number 23 and A5s is number 30 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 32,446,000 | 404,000 | 49,340,000 |
| A5s | 49,340,000 | 404,000 | 32,446,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| KQo | 0.659 | 2.533 | 1.666 | 1.517 |
| A5s | 1.517 | 1.666 | 2.533 | 0.659 |
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
Across the five flop textures A5s' equity moves by 25.85 points, from 52.59% on rainbow flops topped by a ten or better to 78.44% on low rainbow flops (nine high or lower). 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 | KQo wins | Ties | A5s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.352 | 0.122 | 52.526 | 47.413 |
| Rainbow, nine or lower | 7.042 | 20.999 | 1.124 | 77.877 | 21.561 |
| Two-tone | 46.667 | 39.831 | 0.325 | 59.844 | 39.994 |
| Monotone | 5.212 | 41.956 | 2.413 | 55.631 | 43.162 |
| Paired | 17.091 | 34.313 | 0.624 | 65.063 | 34.625 |
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
Start from the random-hand figures, 61.46% for KQo and 59.92% for A5s. This opponent changes them by -21.74 and +0.36 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 39.723 | 61.456 | -21.733 | 0.64636 |
| KQo, rainbow, ten or higher | 47.413 | 61.456 | -14.043 | 0.77150 |
| KQo, rainbow, nine or lower | 21.561 | 61.456 | -39.895 | 0.35084 |
| KQo, two-tone | 39.994 | 61.456 | -21.462 | 0.65077 |
| KQo, monotone | 43.162 | 61.456 | -18.294 | 0.70232 |
| KQo, paired | 34.625 | 61.456 | -26.831 | 0.56341 |
| A5s, all flops | 60.277 | 59.923 | +0.354 | 1.00591 |
| A5s, rainbow, ten or higher | 52.587 | 59.923 | -7.336 | 0.87758 |
| A5s, rainbow, nine or lower | 78.439 | 59.923 | +18.516 | 1.30900 |
| A5s, two-tone | 60.006 | 59.923 | +0.083 | 1.00139 |
| A5s, monotone | 56.838 | 59.923 | -3.085 | 0.94852 |
| A5s, paired | 65.375 | 59.923 | +5.452 | 1.09098 |
Does a shared suit matter?
Split by suits, the deals give A5s 59.95% when the hands overlap in a suit and 60.61% when they do not. A5s does better with no shared suit, by 0.66 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | A5s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 39.788 | 0.533 | 59.679 | 40.055 |
| No shared suit | 24 | 50.00 | 39.165 | 0.452 | 60.383 | 39.391 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are KQo in one seat and A5s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A5s is worth $120.56 on average (+$20.56); KQo is worth $79.44 (-$20.56).
Run 1,000 deals and the tally comes out near 600 for A5s, 395 for KQo and 5 ties.
The same matchup from the other side
Swap the hands and you get A5s with 60.28% against KQo with 39.72%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
KsQh against Ad5d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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