KQo
39.89%
Wins 39.63%, ties 0.52%
A3s
60.11%
Wins 59.85%, ties 0.52%
KQo against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 39.634 | 0.516 | 59.850 | 39.892 |
| A3s | 59.850 | 0.516 | 39.634 | 60.108 |
KQo, an offsuit hand, plays A3s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 20.22 point lead is real, and KQo still takes about 396 of every 1,000 deals outright. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, KQo is number 23 and A3s is number 38.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 32,575,000 | 424,000 | 49,191,000 |
| A3s | 49,191,000 | 424,000 | 32,575,000 |
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 | 0.664 | 2.523 | 1.671 | 1.507 |
| A3s | 1.507 | 1.671 | 2.523 | 0.664 |
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
Split by what the flop looks like, A3s peaks at 78.00% on low rainbow flops (nine high or lower) and bottoms out at 52.43% on rainbow flops topped by a ten or better. A3s 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 | A3s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.512 | 0.122 | 52.366 | 47.573 |
| Rainbow, nine or lower | 7.042 | 21.363 | 1.266 | 77.371 | 21.996 |
| Two-tone | 46.667 | 40.017 | 0.349 | 59.634 | 40.191 |
| Monotone | 5.212 | 42.084 | 2.425 | 55.491 | 43.296 |
| Paired | 17.091 | 34.313 | 0.632 | 65.055 | 34.629 |
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
How much does the opponent matter? Compared with its random-hand 61.46%, KQo changes by -21.57 points, and A3s, from 58.22%, by +1.89.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 39.892 | 61.456 | -21.564 | 0.64911 |
| KQo, rainbow, ten or higher | 47.573 | 61.456 | -13.883 | 0.77410 |
| KQo, rainbow, nine or lower | 21.996 | 61.456 | -39.460 | 0.35791 |
| KQo, two-tone | 40.191 | 61.456 | -21.265 | 0.65398 |
| KQo, monotone | 43.296 | 61.456 | -18.160 | 0.70450 |
| KQo, paired | 34.629 | 61.456 | -26.827 | 0.56348 |
| A3s, all flops | 60.108 | 58.220 | +1.888 | 1.03243 |
| A3s, rainbow, ten or higher | 52.427 | 58.220 | -5.793 | 0.90050 |
| A3s, rainbow, nine or lower | 78.004 | 58.220 | +19.784 | 1.33981 |
| A3s, two-tone | 59.809 | 58.220 | +1.589 | 1.02729 |
| A3s, monotone | 56.704 | 58.220 | -1.516 | 0.97396 |
| A3s, paired | 65.371 | 58.220 | +7.151 | 1.12283 |
Does a shared suit matter?
When the hands share a suit, A3s holds 59.77%; when they do not, it holds 60.44%. A3s does better with no shared suit, by 0.67 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | A3s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 39.950 | 0.556 | 59.494 | 40.228 |
| No shared suit | 24 | 50.00 | 39.318 | 0.475 | 60.207 | 39.556 |
How often this matchup comes up
KQo against A3s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A3s gets $120.22 of it on average and KQo gets $79.78.
Think in thousands: about 599 of 1,000 go to A3s, about 396 go to KQo, and about 5 are chopped.
The same matchup from the other side
If you came looking for A3s against KQo, the numbers are the same with the hands swapped: 60.11% and 39.89%.
Keep exploring
Try KsQh against Ad3d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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