A8s
59.70%
Wins 59.47%, ties 0.46%
KQo
40.30%
Wins 40.07%, ties 0.46%
A8s against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 59.468 | 0.459 | 40.073 | 59.698 |
| KQo | 40.073 | 0.459 | 59.468 | 40.302 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.46% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and KQo is number 23.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 48,877,000 | 377,000 | 32,936,000 |
| KQo | 32,936,000 | 377,000 | 48,877,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A8s | 1.481 | 1.682 | 2.495 | 0.675 |
| KQo | 0.675 | 2.495 | 1.682 | 1.481 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for A8s (77.48%); rainbow flops topped by a ten or better are the worst (51.94%). A8s 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 | A8s wins | Ties | KQo wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 51.883 | 0.120 | 47.997 | 51.943 |
| Rainbow, nine or lower | 7.042 | 76.999 | 0.957 | 22.044 | 77.478 |
| Two-tone | 46.667 | 59.217 | 0.286 | 40.497 | 59.360 |
| Monotone | 5.212 | 55.196 | 2.381 | 42.423 | 56.386 |
| Paired | 17.091 | 64.879 | 0.612 | 34.509 | 65.185 |
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
Start from the random-hand figures, 61.94% for A8s and 61.46% for KQo. This opponent changes them by -2.24 and -21.16 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 59.698 | 61.944 | -2.246 | 0.96374 |
| A8s, rainbow, ten or higher | 51.943 | 61.944 | -10.001 | 0.83855 |
| A8s, rainbow, nine or lower | 77.478 | 61.944 | +15.534 | 1.25077 |
| A8s, two-tone | 59.360 | 61.944 | -2.584 | 0.95828 |
| A8s, monotone | 56.386 | 61.944 | -5.558 | 0.91027 |
| A8s, paired | 65.185 | 61.944 | +3.241 | 1.05232 |
| KQo, all flops | 40.302 | 61.456 | -21.154 | 0.65579 |
| KQo, rainbow, ten or higher | 48.057 | 61.456 | -13.399 | 0.78197 |
| KQo, rainbow, nine or lower | 22.522 | 61.456 | -38.934 | 0.36647 |
| KQo, two-tone | 40.640 | 61.456 | -20.816 | 0.66129 |
| KQo, monotone | 43.614 | 61.456 | -17.842 | 0.70968 |
| KQo, paired | 34.815 | 61.456 | -26.641 | 0.56650 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A8s has 59.35% equity, and with none in common it has 60.04%. A8s does better with no shared suit, by 0.69 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | KQo wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.101 | 0.499 | 40.400 | 59.351 |
| No shared suit | 24 | 50.00 | 59.835 | 0.418 | 39.747 | 60.044 |
How often this matchup comes up
Counting specific cards, A8s against KQo appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A8s averages $119.40 from the $200, up $19.40; KQo averages $80.60, down $19.40.
Over a long run, 1,000 deals split into about 595 for A8s, 401 for KQo and 4 tied.
The same matchup from the other side
KQo versus A8s is this same page seen from the other hand: 40.30% for KQo, 59.70% for A8s.
Keep exploring
The calculator link fills in As8s against KhQd, 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
Nothing here is simulated. The 48 deals of A8s against KQo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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