JJ
56.85%
Wins 56.65%, ties 0.41%
AKo
43.15%
Wins 42.94%, ties 0.41%
JJ against AKo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 56.648 | 0.406 | 42.946 | 56.851 |
| AKo | 42.946 | 0.406 | 56.648 | 43.149 |
JJ is a pocket pair and AKo is an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.41%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, JJ is number 4 and AKo is number 12 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 69,839,000 | 501,000 | 52,946,000 |
| AKo | 52,946,000 | 501,000 | 69,839,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| JJ | 1.318 | 1.765 | 2.329 | 0.759 |
| AKo | 0.759 | 2.329 | 1.765 | 1.318 |
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 74.11%, and likes rainbow flops topped by a ten or better least, where it holds 49.98%. Rainbow flops topped by a ten or better favor AKo, the hand that is behind overall.
| Flop | Share of flops | JJ wins | Ties | AKo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 49.927 | 0.114 | 49.959 | 49.984 |
| Rainbow, nine or lower | 7.771 | 73.478 | 1.255 | 25.267 | 74.105 |
| Two-tone | 46.485 | 55.440 | 0.382 | 44.178 | 55.631 |
| Monotone | 5.151 | 51.791 | 1.748 | 46.461 | 52.665 |
| Paired | 17.333 | 62.804 | 0.083 | 37.113 | 62.846 |
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
Compared with a random opponent, this matchup shifts JJ from 77.47% by -20.62 points and AKo from 65.32% by -22.17 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 56.851 | 77.469 | -20.618 | 0.73385 |
| JJ, rainbow, ten or higher | 49.984 | 77.469 | -27.485 | 0.64521 |
| JJ, rainbow, nine or lower | 74.105 | 77.469 | -3.364 | 0.95658 |
| JJ, two-tone | 55.631 | 77.469 | -21.838 | 0.71811 |
| JJ, monotone | 52.665 | 77.469 | -24.804 | 0.67982 |
| JJ, paired | 62.846 | 77.469 | -14.623 | 0.81124 |
| AKo, all flops | 43.149 | 65.320 | -22.171 | 0.66058 |
| AKo, rainbow, ten or higher | 50.016 | 65.320 | -15.304 | 0.76571 |
| AKo, rainbow, nine or lower | 25.895 | 65.320 | -39.425 | 0.39643 |
| AKo, two-tone | 44.369 | 65.320 | -20.951 | 0.67926 |
| AKo, monotone | 47.335 | 65.320 | -17.985 | 0.72466 |
| AKo, paired | 37.154 | 65.320 | -28.166 | 0.56880 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and JJ holds 56.77%. In 12 they do not, and it holds 57.25%. JJ does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | AKo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.559 | 0.422 | 43.019 | 56.770 |
| No shared suit | 12 | 16.67 | 57.091 | 0.326 | 42.583 | 57.254 |
How often this matchup comes up
The class pair covers 72 combinations of specific cards in a fixed seat order, 0.0044% of 1,624,350, and 144 (0.0089%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $113.70 of it, which is $13.70 more than it put in, and AKo takes back $86.30, $13.70 less than it put in.
Scaled to 1,000 deals, that is roughly 567 wins for JJ, 429 for AKo and 4 chopped pots.
The same matchup from the other side
One page covers both views. From AKo's side the equity is 43.15%, and from JJ's side it is 56.85%.
Keep exploring
Open the calculator with JsJh against AdKc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of JJ against AKo, 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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