ATs
61.84%
Wins 61.61%, ties 0.46%
KJo
38.16%
Wins 37.93%, ties 0.46%
ATs against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 61.606 | 0.464 | 37.930 | 61.838 |
| KJo | 37.930 | 0.464 | 61.606 | 38.162 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATs is ahead, but KJo is far from dead: it takes 379 of every 1,000 deals outright. About 0.46% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, ATs holds place 13 of 169 and KJo holds place 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 50,634,000 | 381,000 | 31,175,000 |
| KJo | 31,175,000 | 381,000 | 50,634,000 |
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) |
|---|---|---|---|---|
| ATs | 1.620 | 1.623 | 2.636 | 0.617 |
| KJo | 0.617 | 2.636 | 1.623 | 1.620 |
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
Split by what the flop looks like, ATs peaks at 77.06% on low rainbow flops (nine high or lower) and bottoms out at 54.75% on rainbow flops topped by a ten or better. ATs 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 | ATs wins | Ties | KJo wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 54.691 | 0.119 | 45.190 | 54.751 |
| Rainbow, nine or lower | 7.770 | 76.596 | 0.928 | 22.476 | 77.060 |
| Two-tone | 46.667 | 61.453 | 0.293 | 38.254 | 61.599 |
| Monotone | 5.212 | 56.683 | 2.382 | 40.935 | 57.874 |
| Paired | 17.091 | 66.122 | 0.608 | 33.270 | 66.426 |
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, 64.60% for ATs and 60.57% for KJo. This opponent changes them by -2.76 and -22.41 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 61.838 | 64.602 | -2.764 | 0.95721 |
| ATs, rainbow, ten or higher | 54.751 | 64.602 | -9.851 | 0.84751 |
| ATs, rainbow, nine or lower | 77.060 | 64.602 | +12.458 | 1.19284 |
| ATs, two-tone | 61.599 | 64.602 | -3.003 | 0.95352 |
| ATs, monotone | 57.874 | 64.602 | -6.728 | 0.89585 |
| ATs, paired | 66.426 | 64.602 | +1.824 | 1.02823 |
| KJo, all flops | 38.162 | 60.569 | -22.407 | 0.63006 |
| KJo, rainbow, ten or higher | 45.249 | 60.569 | -15.320 | 0.74707 |
| KJo, rainbow, nine or lower | 22.940 | 60.569 | -37.629 | 0.37874 |
| KJo, two-tone | 38.401 | 60.569 | -22.168 | 0.63400 |
| KJo, monotone | 42.126 | 60.569 | -18.443 | 0.69550 |
| KJo, paired | 33.574 | 60.569 | -26.995 | 0.55431 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, ATs has 61.55%; looking only at deals where they do not, 62.13%. ATs does better with no shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | KJo wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.298 | 0.504 | 38.198 | 61.550 |
| No shared suit | 24 | 50.00 | 61.915 | 0.424 | 37.661 | 62.127 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $123.68 of it, which is $23.68 more than it put in, and KJo takes back $76.32, $23.68 less than it put in.
Per 1,000 deals: ATs wins about 616, KJo wins about 379, and about 5 end in a split pot.
The same matchup from the other side
KJo versus ATs is this same page seen from the other hand: 38.16% for KJo, 61.84% for ATs.
Keep exploring
Open the calculator with AsTs 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 48 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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