JJ
67.41%
Wins 67.20%, ties 0.43%
A3s
32.59%
Wins 32.37%, ties 0.43%
JJ against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 67.198 | 0.433 | 32.369 | 67.414 |
| A3s | 32.369 | 0.433 | 67.198 | 32.586 |
We compare a pocket pair with a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
JJ is the clear favorite, though A3s gets there on roughly one board in 3. Of every 100 boards, about 0.43 are split pots, and the equity figures already include them.
JJ ranks number 4 of 169 starting hands, and A3s ranks number 38, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 27,615,000 | 178,000 | 13,302,000 |
| A3s | 13,302,000 | 178,000 | 27,615,000 |
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 | 2.069 | 1.488 | 3.089 | 0.483 |
| A3s | 0.483 | 3.089 | 1.488 | 2.069 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for JJ (74.06%); monotone flops are the worst (63.08%). JJ stays ahead on all five textures.
| Flop | Share of flops | JJ wins | Ties | A3s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.300 | 0.149 | 32.551 | 67.375 |
| Rainbow, nine or lower | 7.042 | 73.477 | 1.160 | 25.363 | 74.057 |
| Two-tone | 46.545 | 65.496 | 0.349 | 34.155 | 65.670 |
| Monotone | 5.212 | 61.862 | 2.427 | 35.711 | 63.076 |
| Paired | 17.334 | 70.678 | 0.156 | 29.166 | 70.756 |
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
How much does the opponent matter? Compared with its random-hand 77.47%, JJ changes by -10.06 points, and A3s, from 58.22%, by -25.63.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 67.414 | 77.469 | -10.055 | 0.87021 |
| JJ, rainbow, ten or higher | 67.375 | 77.469 | -10.094 | 0.86970 |
| JJ, rainbow, nine or lower | 74.057 | 77.469 | -3.412 | 0.95596 |
| JJ, two-tone | 65.670 | 77.469 | -11.799 | 0.84769 |
| JJ, monotone | 63.076 | 77.469 | -14.393 | 0.81421 |
| JJ, paired | 70.756 | 77.469 | -6.713 | 0.91335 |
| A3s, all flops | 32.586 | 58.220 | -25.634 | 0.55970 |
| A3s, rainbow, ten or higher | 32.625 | 58.220 | -25.595 | 0.56037 |
| A3s, rainbow, nine or lower | 25.943 | 58.220 | -32.277 | 0.44560 |
| A3s, two-tone | 34.330 | 58.220 | -23.890 | 0.58966 |
| A3s, monotone | 36.924 | 58.220 | -21.296 | 0.63422 |
| A3s, paired | 29.244 | 58.220 | -28.976 | 0.50230 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JJ has 67.71%; looking only at deals where they do not, 67.12%. JJ does better with a shared suit, by 0.59 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | A3s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.468 | 0.476 | 32.056 | 67.706 |
| No shared suit | 12 | 50.00 | 66.928 | 0.389 | 32.683 | 67.123 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: JJ averages $134.82 back, ahead of its $100 by $34.82, while A3s averages $65.18, short of its $100 by $34.82.
Out of 1,000 deals you should see around 672 outright wins for JJ, 324 for A3s, and 4 split pots.
The same matchup from the other side
Swap the hands and you get A3s with 32.59% against JJ with 67.41%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try JsJh against Ad3d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of JJ against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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