KJo
40.30%
Wins 40.05%, ties 0.52%
A2s
59.70%
Wins 59.43%, ties 0.52%
KJo against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 40.045 | 0.515 | 59.440 | 40.303 |
| A2s | 59.440 | 0.515 | 40.045 | 59.697 |
KJo is an offsuit hand and A2s is a suited hand. 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. 0.52% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, KJo sits at number 26 of 169 starting hands and A2s at number 46 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 32,913,000 | 423,000 | 48,854,000 |
| A2s | 48,854,000 | 423,000 | 32,913,000 |
48 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) |
|---|---|---|---|---|
| KJo | 0.675 | 2.497 | 1.682 | 1.481 |
| A2s | 1.481 | 1.682 | 2.497 | 0.675 |
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
By flop texture, A2s' equity runs from 52.02% on rainbow flops topped by a ten or better up to 77.18% on low rainbow flops (nine high or lower). A2s 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 | KJo wins | Ties | A2s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.920 | 0.128 | 51.952 | 47.984 |
| Rainbow, nine or lower | 7.042 | 22.205 | 1.238 | 76.557 | 22.824 |
| Two-tone | 46.667 | 40.475 | 0.346 | 59.179 | 40.648 |
| Monotone | 5.212 | 42.404 | 2.421 | 55.175 | 43.614 |
| Paired | 17.091 | 34.451 | 0.641 | 64.908 | 34.771 |
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
Relative to a random opponent, KJo changes by -20.27 points (baseline 60.57%) and A2s by +2.32 points (baseline 57.38%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 40.303 | 60.569 | -20.266 | 0.66541 |
| KJo, rainbow, ten or higher | 47.984 | 60.569 | -12.585 | 0.79222 |
| KJo, rainbow, nine or lower | 22.824 | 60.569 | -37.745 | 0.37683 |
| KJo, two-tone | 40.648 | 60.569 | -19.921 | 0.67110 |
| KJo, monotone | 43.614 | 60.569 | -16.955 | 0.72007 |
| KJo, paired | 34.771 | 60.569 | -25.798 | 0.57407 |
| A2s, all flops | 59.697 | 57.379 | +2.318 | 1.04040 |
| A2s, rainbow, ten or higher | 52.016 | 57.379 | -5.363 | 0.90653 |
| A2s, rainbow, nine or lower | 77.176 | 57.379 | +19.797 | 1.34502 |
| A2s, two-tone | 59.352 | 57.379 | +1.973 | 1.03439 |
| A2s, monotone | 56.386 | 57.379 | -0.993 | 0.98269 |
| A2s, paired | 65.229 | 57.379 | +7.850 | 1.13681 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A2s holds 59.36%. In 24 they do not, and it holds 60.04%. A2s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | A2s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 40.365 | 0.557 | 59.078 | 40.644 |
| No shared suit | 24 | 50.00 | 39.725 | 0.474 | 59.801 | 39.962 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. A2s averages $119.40 from the $200, up $19.40; KJo averages $80.60, down $19.40.
Run 1,000 deals and the tally comes out near 594 for A2s, 401 for KJo and 5 ties.
The same matchup from the other side
A2s against KJo adds nothing new: it is 59.70% for A2s and 40.30% for KJo, the same figures reversed.
Keep exploring
The calculator link fills in KsJh against Ad2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
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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