A7s
59.76%
Wins 59.54%, ties 0.44%
KJo
40.24%
Wins 40.02%, ties 0.44%
A7s against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 59.544 | 0.439 | 40.017 | 59.764 |
| KJo | 40.017 | 0.439 | 59.544 | 40.236 |
Here a suited hand (A7s) meets an offsuit hand (KJo). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.44% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, A7s is number 24 and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 48,940,000 | 361,000 | 32,890,000 |
| KJo | 32,890,000 | 361,000 | 48,940,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 1.485 | 1.679 | 2.499 | 0.673 |
| KJo | 0.673 | 2.499 | 1.679 | 1.485 |
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
By flop texture, A7s' equity runs from 52.12% on rainbow flops topped by a ten or better up to 77.31% on low rainbow flops (nine high or lower). A7s 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 | A7s wins | Ties | KJo wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 52.059 | 0.126 | 47.815 | 52.122 |
| Rainbow, nine or lower | 7.042 | 76.899 | 0.811 | 22.290 | 77.305 |
| Two-tone | 46.667 | 59.304 | 0.262 | 40.434 | 59.435 |
| Monotone | 5.212 | 55.234 | 2.367 | 42.399 | 56.418 |
| Paired | 17.091 | 64.870 | 0.620 | 34.510 | 65.180 |
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 60.98%, A7s changes by -1.22 points, and KJo, from 60.57%, by -20.33.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 59.764 | 60.984 | -1.220 | 0.97999 |
| A7s, rainbow, ten or higher | 52.122 | 60.984 | -8.862 | 0.85468 |
| A7s, rainbow, nine or lower | 77.305 | 60.984 | +16.321 | 1.26763 |
| A7s, two-tone | 59.435 | 60.984 | -1.549 | 0.97460 |
| A7s, monotone | 56.418 | 60.984 | -4.566 | 0.92513 |
| A7s, paired | 65.180 | 60.984 | +4.196 | 1.06880 |
| KJo, all flops | 40.236 | 60.569 | -20.333 | 0.66430 |
| KJo, rainbow, ten or higher | 47.878 | 60.569 | -12.691 | 0.79047 |
| KJo, rainbow, nine or lower | 22.695 | 60.569 | -37.874 | 0.37470 |
| KJo, two-tone | 40.565 | 60.569 | -20.004 | 0.66973 |
| KJo, monotone | 43.582 | 60.569 | -16.987 | 0.71954 |
| KJo, paired | 34.820 | 60.569 | -25.749 | 0.57488 |
Does a shared suit matter?
Split by suits, the deals give A7s 59.42% when the hands overlap in a suit and 60.10% when they do not. A7s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | KJo wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.183 | 0.479 | 40.338 | 59.423 |
| No shared suit | 24 | 50.00 | 59.905 | 0.398 | 39.697 | 60.104 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A7s gets $119.52 of it on average and KJo gets $80.48.
Per 1,000 deals: A7s wins about 596, KJo wins about 400, and about 4 end in a split pot.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 40.24%, and from A7s' side it is 59.76%.
Keep exploring
Try As7s 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
This is an exact count with no sampling. For the 48 ways to deal one A7s and one KJo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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