JJ
67.83%
Wins 67.63%, ties 0.40%
ATs
32.17%
Wins 31.97%, ties 0.40%
JJ against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 67.628 | 0.396 | 31.976 | 67.826 |
| ATs | 31.976 | 0.396 | 67.628 | 32.174 |
We compare a pocket pair with a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
JJ is the clear favorite, though ATs gets there on roughly one board in 3. Split pots make up 0.40% of the boards, and both equity figures count them as half a win each.
JJ ranks number 4 of 169 starting hands, and ATs ranks number 13, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 27,792,000 | 163,000 | 13,141,000 |
| ATs | 13,141,000 | 163,000 | 27,792,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| JJ | 2.108 | 1.479 | 3.127 | 0.474 |
| ATs | 0.474 | 3.127 | 1.479 | 2.108 |
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, JJ peaks at 80.45% on low rainbow flops (nine high or lower) and bottoms out at 63.14% on monotone flops. JJ 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 | JJ wins | Ties | ATs wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 65.400 | 0.135 | 34.465 | 65.468 |
| Rainbow, nine or lower | 7.771 | 79.992 | 0.923 | 19.085 | 80.453 |
| Two-tone | 46.545 | 65.816 | 0.304 | 33.880 | 65.968 |
| Monotone | 5.212 | 61.939 | 2.393 | 35.668 | 63.136 |
| Paired | 17.334 | 71.637 | 0.156 | 28.207 | 71.715 |
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
Relative to a random opponent, JJ changes by -9.64 points (baseline 77.47%) and ATs by -32.43 points (baseline 64.60%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 67.826 | 77.469 | -9.643 | 0.87552 |
| JJ, rainbow, ten or higher | 65.468 | 77.469 | -12.001 | 0.84509 |
| JJ, rainbow, nine or lower | 80.453 | 77.469 | +2.984 | 1.03852 |
| JJ, two-tone | 65.968 | 77.469 | -11.501 | 0.85154 |
| JJ, monotone | 63.136 | 77.469 | -14.333 | 0.81498 |
| JJ, paired | 71.715 | 77.469 | -5.754 | 0.92573 |
| ATs, all flops | 32.174 | 64.602 | -32.428 | 0.49803 |
| ATs, rainbow, ten or higher | 34.532 | 64.602 | -30.070 | 0.53453 |
| ATs, rainbow, nine or lower | 19.547 | 64.602 | -45.055 | 0.30258 |
| ATs, two-tone | 34.032 | 64.602 | -30.570 | 0.52679 |
| ATs, monotone | 36.864 | 64.602 | -27.738 | 0.57063 |
| ATs, paired | 28.285 | 64.602 | -36.317 | 0.43783 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (JJ at 68.08%) and 12 do not (67.57%). JJ does better with a shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | ATs wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.863 | 0.437 | 31.700 | 68.082 |
| No shared suit | 12 | 50.00 | 67.394 | 0.355 | 32.251 | 67.571 |
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 $135.66 back, ahead of its $100 by $35.66, while ATs averages $64.34, short of its $100 by $35.66.
A thousand deals look like this: JJ takes 676, ATs takes 320, 4 are ties.
The same matchup from the other side
If you came looking for ATs against JJ, the numbers are the same with the hands swapped: 32.17% and 67.83%.
Keep exploring
Try JsJh against AdTd 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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