AA
81.15%
Wins 80.95%, ties 0.41%
JJ
18.85%
Wins 18.64%, ties 0.41%
AA against JJ: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 80.945 | 0.406 | 18.649 | 81.148 |
| JJ | 18.649 | 0.406 | 80.945 | 18.852 |
AA meets JJ, and both are pocket pairs. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.
A gap this wide means JJ is in trouble before the flop and has few good runouts. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, AA is number 1 and JJ is number 4 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 49,897,000 | 250,000 | 11,496,000 |
| JJ | 11,496,000 | 250,000 | 49,897,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AA | 4.304 | 1.235 | 5.362 | 0.232 |
| JJ | 0.232 | 5.362 | 1.235 | 4.304 |
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, AA peaks at 90.21% on low rainbow flops (nine high or lower) and bottoms out at 75.51% on monotone flops. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | JJ wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 77.398 | 0.145 | 22.457 | 77.471 |
| Rainbow, nine or lower | 7.771 | 89.592 | 1.227 | 9.181 | 90.206 |
| Two-tone | 46.363 | 79.893 | 0.400 | 19.707 | 80.093 |
| Monotone | 5.152 | 74.627 | 1.762 | 23.611 | 75.508 |
| Paired | 17.576 | 86.418 | 0.007 | 13.575 | 86.421 |
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
Against one random hand instead, AA holds 85.20% and JJ holds 77.47%. Facing each other changes that by -4.05 points for AA and -58.62 points for JJ.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 81.148 | 85.204 | -4.056 | 0.95240 |
| AA, rainbow, ten or higher | 77.471 | 85.204 | -7.733 | 0.90924 |
| AA, rainbow, nine or lower | 90.206 | 85.204 | +5.002 | 1.05871 |
| AA, two-tone | 80.093 | 85.204 | -5.111 | 0.94001 |
| AA, monotone | 75.508 | 85.204 | -9.696 | 0.88620 |
| AA, paired | 86.421 | 85.204 | +1.217 | 1.01428 |
| JJ, all flops | 18.852 | 77.469 | -58.617 | 0.24335 |
| JJ, rainbow, ten or higher | 22.529 | 77.469 | -54.940 | 0.29081 |
| JJ, rainbow, nine or lower | 9.794 | 77.469 | -67.675 | 0.12642 |
| JJ, two-tone | 19.907 | 77.469 | -57.562 | 0.25697 |
| JJ, monotone | 24.492 | 77.469 | -52.977 | 0.31615 |
| JJ, paired | 13.579 | 77.469 | -63.890 | 0.17528 |
Does a shared suit matter?
Split by suits, the deals give AA 81.28% when the hands overlap in a suit and 80.47% when they do not. AA does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | JJ wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.072 | 0.422 | 18.506 | 81.283 |
| No shared suit | 6 | 16.67 | 80.311 | 0.326 | 19.363 | 80.474 |
How often this matchup comes up
AA against JJ is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AA takes back $162.30 of it, which is $62.30 more than it put in, and JJ takes back $37.70, $62.30 less than it put in.
Scaled to 1,000 deals, that is roughly 809 wins for AA, 187 for JJ and 4 chopped pots.
The same matchup from the other side
Read it from the other side: JJ against AA is the same matchup with the numbers swapped, so JJ holds 18.85% and AA holds 81.15%. That address sends you back to this page.
Keep exploring
Try AsAh against JdJc 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
We counted every case. Each suit pattern of the 36 specific AA against JJ deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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