JJ
56.92%
Wins 56.72%, ties 0.40%
AQo
43.08%
Wins 42.88%, ties 0.40%
JJ against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 56.723 | 0.400 | 42.877 | 56.923 |
| AQo | 42.877 | 0.400 | 56.723 | 43.077 |
JJ is a pocket pair and AQo is an offsuit 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.
JJ is ahead, but AQo is far from dead: it takes 429 of every 1,000 deals outright. 0.40% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, JJ holds place 4 of 169 and AQo holds place 14.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 69,931,000 | 493,000 | 52,861,000 |
| AQo | 52,861,000 | 493,000 | 69,931,000 |
The total is exact: 72 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 | 1.321 | 1.763 | 2.332 | 0.757 |
| AQo | 0.757 | 2.332 | 1.763 | 1.321 |
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
JJ prefers low rainbow flops (nine high or lower), where it holds 74.13%, and likes rainbow flops topped by a ten or better least, where it holds 50.07%. 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 | AQo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 50.015 | 0.107 | 49.878 | 50.069 |
| Rainbow, nine or lower | 7.771 | 73.514 | 1.241 | 25.245 | 74.134 |
| Two-tone | 46.485 | 55.509 | 0.374 | 44.117 | 55.696 |
| Monotone | 5.151 | 51.822 | 1.742 | 46.436 | 52.693 |
| Paired | 17.333 | 62.907 | 0.087 | 37.006 | 62.951 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
A random hand would give JJ 77.47% and AQo 64.43%. Against each other the change is -20.55 points for JJ and -21.35 for AQo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 56.923 | 77.469 | -20.546 | 0.73478 |
| JJ, rainbow, ten or higher | 50.069 | 77.469 | -27.400 | 0.64631 |
| JJ, rainbow, nine or lower | 74.134 | 77.469 | -3.335 | 0.95695 |
| JJ, two-tone | 55.696 | 77.469 | -21.773 | 0.71895 |
| JJ, monotone | 52.693 | 77.469 | -24.776 | 0.68018 |
| JJ, paired | 62.951 | 77.469 | -14.518 | 0.81260 |
| AQo, all flops | 43.077 | 64.432 | -21.355 | 0.66857 |
| AQo, rainbow, ten or higher | 49.931 | 64.432 | -14.501 | 0.77494 |
| AQo, rainbow, nine or lower | 25.866 | 64.432 | -38.566 | 0.40145 |
| AQo, two-tone | 44.304 | 64.432 | -20.128 | 0.68761 |
| AQo, monotone | 47.307 | 64.432 | -17.125 | 0.73422 |
| AQo, paired | 37.049 | 64.432 | -27.383 | 0.57501 |
Does a shared suit matter?
The suit split reads 56.84% for JJ with a shared suit and 57.33% without one. JJ does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | AQo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.634 | 0.416 | 42.950 | 56.842 |
| No shared suit | 12 | 16.67 | 57.167 | 0.320 | 42.513 | 57.327 |
How often this matchup comes up
Counting specific cards, JJ against AQo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
Take a $200 pot built from $100 each. JJ's equity of 56.92% is worth $113.84, a $13.84 edge, and AQo's 43.08% is worth $86.16, which is $13.84 under its stake.
Over a long run, 1,000 deals split into about 567 for JJ, 429 for AQo and 4 tied.
The same matchup from the other side
AQo versus JJ is this same page seen from the other hand: 43.08% for AQo, 56.92% for JJ.
Keep exploring
Try JsJh against AdQc 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
This is an exact count with no sampling. For the 72 ways to deal one JJ and one AQo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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