JJ
79.13%
Wins 78.89%, ties 0.47%
53s
20.87%
Wins 20.64%, ties 0.47%
JJ against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 78.892 | 0.470 | 20.638 | 79.127 |
| 53s | 20.638 | 0.470 | 78.892 | 20.873 |
JJ is a pocket pair and 53s 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.
A lead of 58.26 points is large but not decisive: 53s still takes about 206 of every 1,000 deals. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.
Place 4 of 169 belongs to JJ and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,421,000 | 193,000 | 8,481,000 |
| 53s | 8,481,000 | 193,000 | 32,421,000 |
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 | 3.791 | 1.268 | 4.845 | 0.264 |
| 53s | 0.264 | 4.845 | 1.268 | 3.791 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. JJ does best on rainbow flops topped by a ten or better, at 84.31%, and worst on low rainbow flops (nine high or lower), at 66.67%. 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 | 53s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.201 | 0.215 | 15.584 | 84.309 |
| Rainbow, nine or lower | 6.314 | 66.171 | 0.994 | 32.835 | 66.668 |
| Two-tone | 46.545 | 77.060 | 0.352 | 22.588 | 77.236 |
| Monotone | 5.212 | 72.603 | 2.510 | 24.887 | 73.858 |
| Paired | 17.334 | 82.804 | 0.343 | 16.853 | 82.975 |
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
Relative to a random opponent, JJ changes by +1.66 points (baseline 77.47%) and 53s by -18.82 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 79.127 | 77.469 | +1.658 | 1.02140 |
| JJ, rainbow, ten or higher | 84.309 | 77.469 | +6.840 | 1.08829 |
| JJ, rainbow, nine or lower | 66.668 | 77.469 | -10.801 | 0.86058 |
| JJ, two-tone | 77.236 | 77.469 | -0.233 | 0.99699 |
| JJ, monotone | 73.858 | 77.469 | -3.611 | 0.95339 |
| JJ, paired | 82.975 | 77.469 | +5.506 | 1.07107 |
| 53s, all flops | 20.873 | 39.693 | -18.820 | 0.52586 |
| 53s, rainbow, ten or higher | 15.691 | 39.693 | -24.002 | 0.39531 |
| 53s, rainbow, nine or lower | 33.332 | 39.693 | -6.361 | 0.83975 |
| 53s, two-tone | 22.764 | 39.693 | -16.929 | 0.57350 |
| 53s, monotone | 26.142 | 39.693 | -13.551 | 0.65860 |
| 53s, paired | 17.025 | 39.693 | -22.668 | 0.42892 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JJ has 79.71%; looking only at deals where they do not, 78.55%. JJ does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 53s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.452 | 0.512 | 20.036 | 79.708 |
| No shared suit | 12 | 50.00 | 78.333 | 0.427 | 21.240 | 78.547 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Take a $200 pot built from $100 each. JJ's equity of 79.13% is worth $158.26, a $58.26 edge, and 53s' 20.87% is worth $41.74, which is $58.26 under its stake.
Run 1,000 deals and the tally comes out near 789 for JJ, 206 for 53s and 5 ties.
The same matchup from the other side
53s versus JJ is this same page seen from the other hand: 20.87% for 53s, 79.13% for JJ.
Keep exploring
Try JsJh against 5d3d 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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