JJ
78.26%
Wins 78.07%, ties 0.38%
76s
21.74%
Wins 21.55%, ties 0.38%
JJ against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 78.065 | 0.379 | 21.556 | 78.255 |
| 76s | 21.556 | 0.379 | 78.065 | 21.745 |
JJ is a pocket pair and 76s is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
JJ is well ahead, and 76s needs a specific kind of board to catch up. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, JJ holds place 4 of 169 and 76s holds place 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,081,000 | 156,000 | 8,859,000 |
| 76s | 8,859,000 | 156,000 | 32,081,000 |
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 | 3.599 | 1.281 | 4.639 | 0.278 |
| 76s | 0.278 | 4.639 | 1.281 | 3.599 |
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
Across the five flop textures JJ's equity moves by 20.27 points, from 63.61% on low rainbow flops (nine high or lower) to 83.88% on rainbow flops topped by a ten or better. 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 | 76s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.792 | 0.175 | 16.033 | 83.879 |
| Rainbow, nine or lower | 6.314 | 63.321 | 0.587 | 36.092 | 63.614 |
| Two-tone | 46.545 | 76.230 | 0.247 | 23.523 | 76.353 |
| Monotone | 5.212 | 71.978 | 2.376 | 25.646 | 73.166 |
| Paired | 17.334 | 82.071 | 0.343 | 17.586 | 82.242 |
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 76s 45.37%. Against each other the change is +0.79 points for JJ and -23.63 for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 78.255 | 77.469 | +0.786 | 1.01015 |
| JJ, rainbow, ten or higher | 83.879 | 77.469 | +6.410 | 1.08274 |
| JJ, rainbow, nine or lower | 63.614 | 77.469 | -13.855 | 0.82115 |
| JJ, two-tone | 76.353 | 77.469 | -1.116 | 0.98559 |
| JJ, monotone | 73.166 | 77.469 | -4.303 | 0.94446 |
| JJ, paired | 82.242 | 77.469 | +4.773 | 1.06161 |
| 76s, all flops | 21.745 | 45.372 | -23.627 | 0.47926 |
| 76s, rainbow, ten or higher | 16.121 | 45.372 | -29.251 | 0.35531 |
| 76s, rainbow, nine or lower | 36.386 | 45.372 | -8.986 | 0.80195 |
| 76s, two-tone | 23.647 | 45.372 | -21.725 | 0.52118 |
| 76s, monotone | 26.834 | 45.372 | -18.538 | 0.59142 |
| 76s, paired | 17.758 | 45.372 | -27.614 | 0.39139 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common JJ has 78.82% equity, and with none in common it has 77.69%. JJ does better with a shared suit, by 1.13 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 76s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 78.609 | 0.423 | 20.968 | 78.820 |
| No shared suit | 12 | 50.00 | 77.521 | 0.335 | 22.144 | 77.689 |
How often this matchup comes up
JJ against 76s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $156.52 for JJ and $43.48 for 76s; the first side gains $56.52 per all-in and the second gives up $56.52.
Run 1,000 deals and the tally comes out near 781 for JJ, 215 for 76s and 4 ties.
The same matchup from the other side
Swap the hands and you get 76s with 21.74% against JJ with 78.26%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in JsJh against 7d6d, 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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