JJ
67.05%
Wins 66.84%, ties 0.42%
A4s
32.95%
Wins 32.74%, ties 0.42%
JJ against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 66.840 | 0.422 | 32.738 | 67.051 |
| A4s | 32.738 | 0.422 | 66.840 | 32.949 |
Here a pocket pair (JJ) meets a suited hand (A4s). 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.
That is a clear edge, 67.05% to 32.95%, but A4s still wins often enough that one hand proves nothing. A split pot comes up on 0.42% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, JJ is number 4 and A4s is number 35 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 27,468,000 | 173,000 | 13,454,000 |
| A4s | 13,454,000 | 173,000 | 27,468,000 |
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 | 2.035 | 1.496 | 3.055 | 0.491 |
| A4s | 0.491 | 3.055 | 1.496 | 2.035 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for JJ (72.74%); monotone flops are the worst (62.80%). JJ stays ahead on all five textures.
| Flop | Share of flops | JJ wins | Ties | A4s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.112 | 0.149 | 32.739 | 67.187 |
| Rainbow, nine or lower | 7.042 | 72.194 | 1.089 | 26.717 | 72.738 |
| Two-tone | 46.545 | 65.102 | 0.336 | 34.562 | 65.270 |
| Monotone | 5.212 | 61.593 | 2.422 | 35.985 | 62.804 |
| Paired | 17.334 | 70.534 | 0.156 | 29.310 | 70.612 |
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
Against one random hand instead, JJ holds 77.47% and A4s holds 59.03%. Facing each other changes that by -10.42 points for JJ and -26.08 points for A4s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 67.051 | 77.469 | -10.418 | 0.86552 |
| JJ, rainbow, ten or higher | 67.187 | 77.469 | -10.282 | 0.86728 |
| JJ, rainbow, nine or lower | 72.738 | 77.469 | -4.731 | 0.93893 |
| JJ, two-tone | 65.270 | 77.469 | -12.199 | 0.84253 |
| JJ, monotone | 62.804 | 77.469 | -14.665 | 0.81070 |
| JJ, paired | 70.612 | 77.469 | -6.857 | 0.91149 |
| A4s, all flops | 32.949 | 59.034 | -26.085 | 0.55814 |
| A4s, rainbow, ten or higher | 32.813 | 59.034 | -26.221 | 0.55583 |
| A4s, rainbow, nine or lower | 27.262 | 59.034 | -31.772 | 0.46180 |
| A4s, two-tone | 34.730 | 59.034 | -24.304 | 0.58831 |
| A4s, monotone | 37.196 | 59.034 | -21.838 | 0.63008 |
| A4s, paired | 29.388 | 59.034 | -29.646 | 0.49781 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common JJ has 67.34% equity, and with none in common it has 66.76%. JJ does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | A4s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.106 | 0.465 | 32.429 | 67.338 |
| No shared suit | 12 | 50.00 | 66.574 | 0.379 | 33.047 | 66.764 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $134.10 for JJ and $65.90 for A4s; the first side gains $34.10 per all-in and the second gives up $34.10.
Run 1,000 deals and the tally comes out near 669 for JJ, 327 for A4s and 4 ties.
The same matchup from the other side
Swap the hands and you get A4s with 32.95% against JJ with 67.05%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try JsJh against Ad4d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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