JJ
78.99%
Wins 78.80%, ties 0.39%
87s
21.01%
Wins 20.81%, ties 0.39%
JJ against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 78.796 | 0.388 | 20.816 | 78.990 |
| 87s | 20.816 | 0.388 | 78.796 | 21.010 |
The first hand is a pocket pair; the second 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 87s needs a specific kind of board to catch up. Ties are part of the picture: 0.39% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts JJ at 4 and 87s at 100 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,381,000 | 159,000 | 8,554,000 |
| 87s | 8,554,000 | 159,000 | 32,381,000 |
Exact total: 24 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 | 3.760 | 1.269 | 4.804 | 0.266 |
| 87s | 0.266 | 4.804 | 1.269 | 3.760 |
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
By flop texture, JJ's equity runs from 68.25% on low rainbow flops (nine high or lower) up to 83.65% 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 | 87s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.548 | 0.210 | 16.242 | 83.653 |
| Rainbow, nine or lower | 6.314 | 67.981 | 0.527 | 31.492 | 68.245 |
| Two-tone | 46.545 | 76.928 | 0.259 | 22.813 | 77.057 |
| Monotone | 5.212 | 72.440 | 2.374 | 25.186 | 73.627 |
| Paired | 17.334 | 82.918 | 0.343 | 16.739 | 83.089 |
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
The table below sets each hand against its own random-hand baseline: a change of +1.52 points for JJ, from 77.47%, and -26.93 for 87s, from 47.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 78.990 | 77.469 | +1.521 | 1.01963 |
| JJ, rainbow, ten or higher | 83.653 | 77.469 | +6.184 | 1.07983 |
| JJ, rainbow, nine or lower | 68.245 | 77.469 | -9.224 | 0.88093 |
| JJ, two-tone | 77.057 | 77.469 | -0.412 | 0.99468 |
| JJ, monotone | 73.627 | 77.469 | -3.842 | 0.95041 |
| JJ, paired | 83.089 | 77.469 | +5.620 | 1.07255 |
| 87s, all flops | 21.010 | 47.936 | -26.926 | 0.43829 |
| 87s, rainbow, ten or higher | 16.347 | 47.936 | -31.589 | 0.34102 |
| 87s, rainbow, nine or lower | 31.755 | 47.936 | -16.181 | 0.66245 |
| 87s, two-tone | 22.943 | 47.936 | -24.993 | 0.47862 |
| 87s, monotone | 26.373 | 47.936 | -21.563 | 0.55017 |
| 87s, paired | 16.911 | 47.936 | -31.025 | 0.35278 |
Does a shared suit matter?
The suit split reads 79.55% for JJ with a shared suit and 78.43% without one. JJ does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 87s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.333 | 0.431 | 20.236 | 79.549 |
| No shared suit | 12 | 50.00 | 78.258 | 0.346 | 21.396 | 78.431 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $157.98 on average (+$57.98); 87s is worth $42.02 (-$57.98).
Over a long run, 1,000 deals split into about 788 for JJ, 208 for 87s and 4 tied.
The same matchup from the other side
87s against JJ adds nothing new: it is 21.01% for 87s and 78.99% for JJ, the same figures reversed.
Keep exploring
The calculator link fills in JsJh against 8d7d, 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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