AJs
75.42%
Wins 74.66%, ties 1.53%
KJo
24.58%
Wins 23.81%, ties 1.53%
AJs against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 74.658 | 1.528 | 23.814 | 75.422 |
| KJo | 23.814 | 1.528 | 74.658 | 24.578 |
AJs and KJo are a suited hand and an offsuit hand, in that order. 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.
AJs is the clear favorite, though KJo gets there on roughly one board in 4. About 1.53% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, AJs holds place 11 of 169 and KJo holds place 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 46,021,000 | 942,000 | 14,680,000 |
| KJo | 14,680,000 | 942,000 | 46,021,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AJs | 3.069 | 1.339 | 4.199 | 0.326 |
| KJo | 0.326 | 4.199 | 1.339 | 3.069 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for AJs (86.93%); monotone flops are the worst (67.43%). AJs 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 | AJs wins | Ties | KJo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.588 | 1.220 | 28.192 | 71.198 |
| Rainbow, nine or lower | 7.771 | 85.992 | 1.867 | 12.141 | 86.926 |
| Two-tone | 46.527 | 74.631 | 1.272 | 24.097 | 75.267 |
| Monotone | 5.192 | 65.998 | 2.866 | 31.136 | 67.431 |
| Paired | 17.333 | 77.686 | 2.077 | 20.237 | 78.724 |
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 65.39%, AJs changes by +10.03 points, and KJo, from 60.57%, by -35.99.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 75.422 | 65.393 | +10.029 | 1.15337 |
| AJs, rainbow, ten or higher | 71.198 | 65.393 | +5.805 | 1.08877 |
| AJs, rainbow, nine or lower | 86.926 | 65.393 | +21.533 | 1.32929 |
| AJs, two-tone | 75.267 | 65.393 | +9.874 | 1.15099 |
| AJs, monotone | 67.431 | 65.393 | +2.038 | 1.03117 |
| AJs, paired | 78.724 | 65.393 | +13.331 | 1.20386 |
| KJo, all flops | 24.578 | 60.569 | -35.991 | 0.40579 |
| KJo, rainbow, ten or higher | 28.802 | 60.569 | -31.767 | 0.47552 |
| KJo, rainbow, nine or lower | 13.074 | 60.569 | -47.495 | 0.21585 |
| KJo, two-tone | 24.733 | 60.569 | -35.836 | 0.40834 |
| KJo, monotone | 32.569 | 60.569 | -28.000 | 0.53772 |
| KJo, paired | 21.276 | 60.569 | -39.293 | 0.35127 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and AJs holds 75.18%. In 24 they do not, and it holds 75.54%. AJs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | KJo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 74.385 | 1.598 | 24.017 | 75.184 |
| No shared suit | 24 | 66.67 | 74.794 | 1.494 | 23.712 | 75.541 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are AJs in one seat and KJo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: AJs averages $150.84 back, ahead of its $100 by $50.84, while KJo averages $49.16, short of its $100 by $50.84.
Run 1,000 deals and the tally comes out near 747 for AJs, 238 for KJo and 15 ties.
The same matchup from the other side
Read it from the other side: KJo against AJs is the same matchup with the numbers swapped, so KJo holds 24.58% and AJs holds 75.42%. That address sends you back to this page.
Keep exploring
Open the calculator with AsJs against KhJd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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