JJ
81.42%
Wins 81.18%, ties 0.49%
33
18.58%
Wins 18.33%, ties 0.49%
JJ against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 81.177 | 0.493 | 18.330 | 81.424 |
| 33 | 18.330 | 0.493 | 81.177 | 18.576 |
Two pocket pairs meet here: JJ against 33. 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. The tie share is 0.49%: on those boards the pot is chopped and neither hand wins outright.
Place 4 of 169 belongs to JJ and place 66 belongs to 33 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 50,040,000 | 304,000 | 11,299,000 |
| 33 | 11,299,000 | 304,000 | 50,040,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| JJ | 4.383 | 1.232 | 5.456 | 0.228 |
| 33 | 0.228 | 5.456 | 1.232 | 4.383 |
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
Paired flops are the best for JJ (86.83%); low rainbow flops (nine high or lower) are the worst (68.42%). 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 | 33 wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.006 | 0.221 | 15.773 | 84.116 |
| Rainbow, nine or lower | 6.314 | 67.847 | 1.154 | 30.999 | 68.424 |
| Two-tone | 46.363 | 80.126 | 0.395 | 19.479 | 80.323 |
| Monotone | 5.152 | 74.807 | 2.276 | 22.917 | 75.945 |
| Paired | 17.576 | 86.648 | 0.372 | 12.980 | 86.834 |
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
The table below sets each hand against its own random-hand baseline: a change of +3.95 points for JJ, from 77.47%, and -35.11 for 33, from 53.69%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 81.424 | 77.469 | +3.955 | 1.05105 |
| JJ, rainbow, ten or higher | 84.116 | 77.469 | +6.647 | 1.08580 |
| JJ, rainbow, nine or lower | 68.424 | 77.469 | -9.045 | 0.88324 |
| JJ, two-tone | 80.323 | 77.469 | +2.854 | 1.03684 |
| JJ, monotone | 75.945 | 77.469 | -1.524 | 0.98033 |
| JJ, paired | 86.834 | 77.469 | +9.365 | 1.12089 |
| 33, all flops | 18.576 | 53.693 | -35.117 | 0.34597 |
| 33, rainbow, ten or higher | 15.884 | 53.693 | -37.809 | 0.29583 |
| 33, rainbow, nine or lower | 31.576 | 53.693 | -22.117 | 0.58808 |
| 33, two-tone | 19.677 | 53.693 | -34.016 | 0.36647 |
| 33, monotone | 24.055 | 53.693 | -29.638 | 0.44801 |
| 33, paired | 13.166 | 53.693 | -40.527 | 0.24521 |
Does a shared suit matter?
The suit split reads 81.56% for JJ with a shared suit and 80.76% without one. JJ does better with a shared suit, by 0.80 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 33 wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.304 | 0.504 | 18.192 | 81.556 |
| No shared suit | 6 | 16.67 | 80.541 | 0.438 | 19.021 | 80.760 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: JJ averages $162.84 back, ahead of its $100 by $62.84, while 33 averages $37.16, short of its $100 by $62.84.
Scaled to 1,000 deals, that is roughly 812 wins for JJ, 183 for 33 and 5 chopped pots.
The same matchup from the other side
One page covers both views. From 33's side the equity is 18.58%, and from JJ's side it is 81.42%.
Keep exploring
Open the calculator with JsJh against 3d3c 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
This is an exact count with no sampling. For the 36 ways to deal one JJ and one 33 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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