JJ
69.45%
Wins 68.58%, ties 1.75%
AJo
30.55%
Wins 29.67%, ties 1.75%
JJ against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 68.575 | 1.749 | 29.676 | 69.449 |
| AJo | 29.676 | 1.749 | 68.575 | 30.551 |
Here a pocket pair (JJ) meets an offsuit hand (AJo). The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
JJ is the clear favorite, though AJo gets there on roughly one board in 3. Ties are 1.75% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, JJ is number 4 and AJo is number 15.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 42,272,000 | 1,078,000 | 18,293,000 |
| AJo | 18,293,000 | 1,078,000 | 42,272,000 |
The total is exact: 36 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 | 2.273 | 1.458 | 3.370 | 0.440 |
| AJo | 0.440 | 3.370 | 1.458 | 2.273 |
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
The flop changes the picture. JJ does best on low rainbow flops (nine high or lower), at 84.78%, and worst on monotone flops, at 62.28%. 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 | AJo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 62.593 | 1.994 | 35.413 | 63.590 |
| Rainbow, nine or lower | 7.771 | 83.712 | 2.125 | 14.163 | 84.775 |
| Two-tone | 46.215 | 67.164 | 1.932 | 30.904 | 68.130 |
| Monotone | 5.130 | 61.126 | 2.312 | 36.562 | 62.282 |
| Paired | 17.831 | 75.509 | 0.637 | 23.854 | 75.827 |
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
Relative to a random opponent, JJ changes by -8.02 points (baseline 77.47%) and AJo by -33.01 points (baseline 63.56%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 69.449 | 77.469 | -8.020 | 0.89647 |
| JJ, rainbow, ten or higher | 63.590 | 77.469 | -13.879 | 0.82084 |
| JJ, rainbow, nine or lower | 84.775 | 77.469 | +7.306 | 1.09431 |
| JJ, two-tone | 68.130 | 77.469 | -9.339 | 0.87945 |
| JJ, monotone | 62.282 | 77.469 | -15.187 | 0.80396 |
| JJ, paired | 75.827 | 77.469 | -1.642 | 0.97880 |
| AJo, all flops | 30.551 | 63.563 | -33.012 | 0.48064 |
| AJo, rainbow, ten or higher | 36.410 | 63.563 | -27.153 | 0.57282 |
| AJo, rainbow, nine or lower | 15.225 | 63.563 | -48.338 | 0.23953 |
| AJo, two-tone | 31.870 | 63.563 | -31.693 | 0.50139 |
| AJo, monotone | 37.718 | 63.563 | -25.845 | 0.59340 |
| AJo, paired | 24.173 | 63.563 | -39.390 | 0.38030 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JJ has 69.39%; looking only at deals where they do not, 69.58%. The two rows differ by only 0.19 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | AJo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 68.494 | 1.783 | 29.723 | 69.386 |
| No shared suit | 12 | 33.33 | 68.736 | 1.682 | 29.582 | 69.577 |
How often this matchup comes up
Counting specific cards, JJ against AJo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $138.90 for JJ and $61.10 for AJo; the first side gains $38.90 per all-in and the second gives up $38.90.
Over a long run, 1,000 deals split into about 686 for JJ, 297 for AJo and 17 tied.
The same matchup from the other side
If you came looking for AJo against JJ, the numbers are the same with the hands swapped: 30.55% and 69.45%.
Keep exploring
The calculator link fills in JsJh against AdJc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 36 deals of JJ against AJo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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