JJ
54.12%
Wins 53.91%, ties 0.42%
AQs
45.88%
Wins 45.67%, ties 0.42%
JJ against AQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 53.908 | 0.415 | 45.677 | 54.115 |
| AQs | 45.677 | 0.415 | 53.908 | 45.885 |
JJ, a pocket pair, plays AQs, a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with JJ a little ahead. Split pots make up 0.42% of the boards, and both equity figures count them as half a win each.
The hand ranking puts JJ at 4 and AQs at 10 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 22,154,000 | 171,000 | 18,771,000 |
| AQs | 18,771,000 | 171,000 | 22,154,000 |
24 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) |
|---|---|---|---|---|
| JJ | 1.179 | 1.855 | 2.189 | 0.848 |
| AQs | 0.848 | 2.189 | 1.855 | 1.179 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
By flop texture, JJ's equity runs from 48.65% on rainbow flops topped by a ten or better up to 71.24% on low rainbow flops (nine high or lower). Watch for rainbow flops topped by a ten or better: on those flops AQs holds the better equity.
| Flop | Share of flops | JJ wins | Ties | AQs wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 48.596 | 0.103 | 51.301 | 48.648 |
| Rainbow, nine or lower | 7.771 | 70.644 | 1.187 | 28.169 | 71.238 |
| Two-tone | 46.545 | 51.751 | 0.340 | 47.909 | 51.921 |
| Monotone | 5.212 | 51.224 | 2.413 | 46.363 | 52.430 |
| Paired | 17.334 | 60.095 | 0.087 | 39.818 | 60.138 |
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
Start from the random-hand figures, 77.47% for JJ and 66.21% for AQs. This opponent changes them by -23.35 and -20.33 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 54.115 | 77.469 | -23.354 | 0.69854 |
| JJ, rainbow, ten or higher | 48.648 | 77.469 | -28.821 | 0.62797 |
| JJ, rainbow, nine or lower | 71.238 | 77.469 | -6.231 | 0.91957 |
| JJ, two-tone | 51.921 | 77.469 | -25.548 | 0.67022 |
| JJ, monotone | 52.430 | 77.469 | -25.039 | 0.67679 |
| JJ, paired | 60.138 | 77.469 | -17.331 | 0.77628 |
| AQs, all flops | 45.885 | 66.209 | -20.324 | 0.69303 |
| AQs, rainbow, ten or higher | 51.352 | 66.209 | -14.857 | 0.77560 |
| AQs, rainbow, nine or lower | 28.762 | 66.209 | -37.447 | 0.43441 |
| AQs, two-tone | 48.079 | 66.209 | -18.130 | 0.72617 |
| AQs, monotone | 47.570 | 66.209 | -18.639 | 0.71848 |
| AQs, paired | 39.862 | 66.209 | -26.347 | 0.60206 |
Does a shared suit matter?
Split by suits, the deals give JJ 54.27% when the hands overlap in a suit and 53.96% when they do not. JJ does better with a shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | AQs wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 54.046 | 0.456 | 45.498 | 54.274 |
| No shared suit | 12 | 50.00 | 53.769 | 0.375 | 45.856 | 53.957 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are JJ in one seat and AQs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $108.24 of it, which is $8.24 more than it put in, and AQs takes back $91.76, $8.24 less than it put in.
Scaled to 1,000 deals, that is roughly 539 wins for JJ, 457 for AQs and 4 chopped pots.
The same matchup from the other side
Swap the hands and you get AQs with 45.88% against JJ with 54.12%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
JsJh against AdQd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Method: exact enumeration. The 24 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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