JJ
77.48%
Wins 77.25%, ties 0.46%
54s
22.52%
Wins 22.29%, ties 0.46%
JJ against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 77.252 | 0.460 | 22.288 | 77.482 |
| 54s | 22.288 | 0.460 | 77.252 | 22.518 |
One side is a pocket pair, the other 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 54s needs a specific kind of board to catch up. Split pots make up 0.46% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, JJ holds place 4 of 169 and 54s holds place 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 31,747,000 | 189,000 | 9,159,000 |
| 54s | 9,159,000 | 189,000 | 31,747,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 3.441 | 1.294 | 4.487 | 0.291 |
| 54s | 0.291 | 4.487 | 1.294 | 3.441 |
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
By flop texture, JJ's equity runs from 63.12% on low rainbow flops (nine high or lower) up to 82.81% 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 | 54s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 82.702 | 0.214 | 17.084 | 82.809 |
| Rainbow, nine or lower | 6.314 | 62.652 | 0.926 | 36.422 | 63.115 |
| Two-tone | 46.545 | 75.308 | 0.342 | 24.350 | 75.479 |
| Monotone | 5.212 | 71.311 | 2.500 | 26.189 | 72.561 |
| Paired | 17.334 | 81.844 | 0.343 | 17.813 | 82.016 |
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
Relative to a random opponent, JJ changes by +0.01 points (baseline 77.47%) and 54s by -18.93 points (baseline 41.45%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 77.482 | 77.469 | +0.013 | 1.00017 |
| JJ, rainbow, ten or higher | 82.809 | 77.469 | +5.340 | 1.06893 |
| JJ, rainbow, nine or lower | 63.115 | 77.469 | -14.354 | 0.81471 |
| JJ, two-tone | 75.479 | 77.469 | -1.990 | 0.97431 |
| JJ, monotone | 72.561 | 77.469 | -4.908 | 0.93665 |
| JJ, paired | 82.016 | 77.469 | +4.547 | 1.05869 |
| 54s, all flops | 22.518 | 41.453 | -18.935 | 0.54322 |
| 54s, rainbow, ten or higher | 17.191 | 41.453 | -24.262 | 0.41471 |
| 54s, rainbow, nine or lower | 36.885 | 41.453 | -4.568 | 0.88980 |
| 54s, two-tone | 24.521 | 41.453 | -16.932 | 0.59154 |
| 54s, monotone | 27.439 | 41.453 | -14.014 | 0.66193 |
| 54s, paired | 17.984 | 41.453 | -23.469 | 0.43384 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common JJ has 78.04% equity, and with none in common it has 76.93%. JJ does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 54s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 77.785 | 0.503 | 21.712 | 78.036 |
| No shared suit | 12 | 50.00 | 76.719 | 0.417 | 22.864 | 76.928 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are JJ in one seat and 54s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $154.96 for JJ and $45.04 for 54s; the first side gains $54.96 per all-in and the second gives up $54.96.
In 1,000 deals of exactly this matchup, expect about 772 won outright by JJ, about 223 won outright by 54s and about 5 split.
The same matchup from the other side
The mirror image, 54s against JJ, is 22.52% to 77.48%, and its address redirects to this page.
Keep exploring
Open the calculator with JsJh against 5d4d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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