AKo
74.77%
Wins 74.20%, ties 1.16%
KQo
25.23%
Wins 24.64%, ties 1.16%
AKo against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 74.196 | 1.156 | 24.648 | 74.774 |
| KQo | 24.648 | 1.156 | 74.196 | 25.226 |
This is a contest between two offsuit hands, AKo and KQo. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AKo is the clear favorite, though KQo gets there on roughly one board in 4. Ties are 1.16% of the outcomes here; each tied board gives both hands half the pot.
Place 12 of 169 belongs to AKo and place 23 belongs to KQo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 137,210,000 | 2,138,000 | 45,581,000 |
| KQo | 45,581,000 | 2,138,000 | 137,210,000 |
108 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) |
|---|---|---|---|---|
| AKo | 2.964 | 1.348 | 4.057 | 0.337 |
| KQo | 0.337 | 4.057 | 1.348 | 2.964 |
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
Break the boards down by their first three cards and AKo is strongest on low rainbow flops (nine high or lower) (86.68%) and weakest on rainbow flops topped by a ten or better (70.47%). AKo 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 | AKo wins | Ties | KQo wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 70.081 | 0.785 | 29.134 | 70.474 |
| Rainbow, nine or lower | 7.771 | 86.003 | 1.356 | 12.641 | 86.681 |
| Two-tone | 46.477 | 73.683 | 0.894 | 25.423 | 74.130 |
| Monotone | 5.144 | 69.775 | 1.994 | 28.231 | 70.772 |
| Paired | 17.333 | 77.115 | 2.020 | 20.865 | 78.125 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts AKo from 65.32% by +9.45 points and KQo from 61.46% by -36.23 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 74.774 | 65.320 | +9.454 | 1.14473 |
| AKo, rainbow, ten or higher | 70.474 | 65.320 | +5.154 | 1.07890 |
| AKo, rainbow, nine or lower | 86.681 | 65.320 | +21.361 | 1.32702 |
| AKo, two-tone | 74.130 | 65.320 | +8.810 | 1.13487 |
| AKo, monotone | 70.772 | 65.320 | +5.452 | 1.08347 |
| AKo, paired | 78.125 | 65.320 | +12.805 | 1.19603 |
| KQo, all flops | 25.226 | 61.456 | -36.230 | 0.41047 |
| KQo, rainbow, ten or higher | 29.526 | 61.456 | -31.930 | 0.48044 |
| KQo, rainbow, nine or lower | 13.319 | 61.456 | -48.137 | 0.21672 |
| KQo, two-tone | 25.870 | 61.456 | -35.586 | 0.42095 |
| KQo, monotone | 29.228 | 61.456 | -32.228 | 0.47559 |
| KQo, paired | 21.875 | 61.456 | -39.581 | 0.35595 |
Does a shared suit matter?
Does suit overlap move the numbers? AKo has 74.95% when the hands share a suit and 74.17% when they do not. AKo does better with a shared suit, by 0.78 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | KQo wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 74.358 | 1.178 | 24.464 | 74.947 |
| No shared suit | 24 | 22.22 | 73.628 | 1.080 | 25.292 | 74.168 |
How often this matchup comes up
Counting specific cards, AKo against KQo appears in 108 of the 1,624,350 ordered heads-up deals (0.0066%), and in 216 when the seats are swapped too (0.0133%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKo's average share is $149.54 (a gain of $49.54) and KQo's is $50.46 (a loss of $49.54).
Run 1,000 deals and the tally comes out near 742 for AKo, 246 for KQo and 12 ties.
The same matchup from the other side
KQo versus AKo is this same page seen from the other hand: 25.23% for KQo, 74.77% for AKo.
Keep exploring
Try AsKh against KdQc 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
Each figure is a complete count over boards. Take the 108 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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