JJ
80.91%
Wins 80.71%, ties 0.40%
77
19.09%
Wins 18.89%, ties 0.40%
JJ against 77: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 80.713 | 0.397 | 18.890 | 80.911 |
| 77 | 18.890 | 0.397 | 80.713 | 19.089 |
Both hands are pocket pairs: JJ and 77. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
JJ is a big favorite here before anyone sees a flop. Of every 100 boards, about 0.40 are split pots, and the equity figures already include them.
Place 4 of 169 belongs to JJ and place 9 belongs to 77 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 49,754,000 | 245,000 | 11,644,000 |
| 77 | 11,644,000 | 245,000 | 49,754,000 |
Exact total: 36 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 | 4.239 | 1.239 | 5.294 | 0.236 |
| 77 | 0.236 | 5.294 | 1.239 | 4.239 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: JJ holds 86.39% on paired flops and 66.89% on low rainbow flops (nine high or lower). 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 | 77 wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.730 | 0.228 | 16.042 | 83.844 |
| Rainbow, nine or lower | 6.314 | 66.550 | 0.684 | 32.766 | 66.892 |
| Two-tone | 46.363 | 79.658 | 0.309 | 20.033 | 79.812 |
| Monotone | 5.152 | 74.444 | 1.721 | 23.835 | 75.305 |
| Paired | 17.576 | 86.199 | 0.373 | 13.428 | 86.385 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 77.47%, JJ changes by +3.44 points, and 77, from 66.24%, by -47.15.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 80.911 | 77.469 | +3.442 | 1.04443 |
| JJ, rainbow, ten or higher | 83.844 | 77.469 | +6.375 | 1.08229 |
| JJ, rainbow, nine or lower | 66.892 | 77.469 | -10.577 | 0.86347 |
| JJ, two-tone | 79.812 | 77.469 | +2.343 | 1.03024 |
| JJ, monotone | 75.305 | 77.469 | -2.164 | 0.97207 |
| JJ, paired | 86.385 | 77.469 | +8.916 | 1.11509 |
| 77, all flops | 19.089 | 66.236 | -47.147 | 0.28820 |
| 77, rainbow, ten or higher | 16.156 | 66.236 | -50.080 | 0.24392 |
| 77, rainbow, nine or lower | 33.108 | 66.236 | -33.128 | 0.49985 |
| 77, two-tone | 20.188 | 66.236 | -46.048 | 0.30479 |
| 77, monotone | 24.695 | 66.236 | -41.541 | 0.37283 |
| 77, paired | 13.615 | 66.236 | -52.621 | 0.20555 |
Does a shared suit matter?
Does suit overlap move the numbers? JJ has 81.05% when the hands share a suit and 80.24% when they do not. JJ does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 77 wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.839 | 0.412 | 18.749 | 81.045 |
| No shared suit | 6 | 16.67 | 80.085 | 0.317 | 19.598 | 80.244 |
How often this matchup comes up
Counting specific cards, JJ against 77 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
To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $161.82 on average (+$61.82); 77 is worth $38.18 (-$61.82).
Run 1,000 deals and the tally comes out near 807 for JJ, 189 for 77 and 4 ties.
The same matchup from the other side
Read it from the other side: 77 against JJ is the same matchup with the numbers swapped, so 77 holds 19.09% and JJ holds 80.91%. That address sends you back to this page.
Keep exploring
The calculator link fills in JsJh against 7d7c, 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 36 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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