AKs
75.29%
Wins 74.72%, ties 1.14%
KJo
24.71%
Wins 24.14%, ties 1.14%
AKs against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 74.722 | 1.142 | 24.136 | 75.293 |
| KJo | 24.136 | 1.142 | 74.722 | 24.707 |
The first hand is a suited hand; the second is an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
A lead of 50.58 points is large but not decisive: KJo still takes about 241 of every 1,000 deals. About 1.14% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 8 of 169 belongs to AKs and place 26 belongs to KJo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 46,061,000 | 704,000 | 14,878,000 |
| KJo | 14,878,000 | 704,000 | 46,061,000 |
36 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) |
|---|---|---|---|---|
| AKs | 3.047 | 1.338 | 4.143 | 0.328 |
| KJo | 0.328 | 4.143 | 1.338 | 3.047 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
AKs prefers low rainbow flops (nine high or lower), where it holds 86.60%, and likes monotone flops least, where it holds 67.32%. AKs 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 | AKs wins | Ties | KJo wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.664 | 0.777 | 28.559 | 71.053 |
| Rainbow, nine or lower | 7.771 | 85.992 | 1.208 | 12.800 | 86.596 |
| Two-tone | 46.527 | 74.684 | 0.824 | 24.492 | 75.096 |
| Monotone | 5.192 | 66.032 | 2.571 | 31.397 | 67.318 |
| Paired | 17.333 | 77.800 | 2.026 | 20.174 | 78.813 |
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
Start from the random-hand figures, 67.05% for AKs and 60.57% for KJo. This opponent changes them by +8.24 and -35.86 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 75.293 | 67.045 | +8.248 | 1.12302 |
| AKs, rainbow, ten or higher | 71.053 | 67.045 | +4.008 | 1.05978 |
| AKs, rainbow, nine or lower | 86.596 | 67.045 | +19.551 | 1.29161 |
| AKs, two-tone | 75.096 | 67.045 | +8.051 | 1.12008 |
| AKs, monotone | 67.318 | 67.045 | +0.273 | 1.00407 |
| AKs, paired | 78.813 | 67.045 | +11.768 | 1.17552 |
| KJo, all flops | 24.707 | 60.569 | -35.862 | 0.40791 |
| KJo, rainbow, ten or higher | 28.947 | 60.569 | -31.622 | 0.47792 |
| KJo, rainbow, nine or lower | 13.404 | 60.569 | -47.165 | 0.22130 |
| KJo, two-tone | 24.904 | 60.569 | -35.665 | 0.41117 |
| KJo, monotone | 32.682 | 60.569 | -27.887 | 0.53958 |
| KJo, paired | 21.187 | 60.569 | -39.382 | 0.34980 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AKs has 75.05% equity, and with none in common it has 75.41%. AKs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | KJo wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 74.448 | 1.207 | 24.345 | 75.052 |
| No shared suit | 24 | 66.67 | 74.859 | 1.109 | 24.032 | 75.414 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AKs against KJo, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $150.58 (a gain of $50.58) and KJo's is $49.42 (a loss of $50.58).
A thousand deals look like this: AKs takes 747, KJo takes 241, 12 are ties.
The same matchup from the other side
KJo versus AKs is this same page seen from the other hand: 24.71% for KJo, 75.29% for AKs.
Keep exploring
Try AsKs against KhJd 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 36 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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