JJ
79.54%
Wins 79.29%, ties 0.48%
43s
20.46%
Wins 20.23%, ties 0.48%
JJ against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 79.293 | 0.484 | 20.223 | 79.535 |
| 43s | 20.223 | 0.484 | 79.293 | 20.465 |
The first hand is a pocket pair; the second is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
JJ is well ahead, and 43s needs a specific kind of board to catch up. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.
For context, JJ sits at number 4 of 169 starting hands and 43s at number 150 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,586,000 | 199,000 | 8,311,000 |
| 43s | 8,311,000 | 199,000 | 32,586,000 |
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 | 3.886 | 1.261 | 4.945 | 0.257 |
| 43s | 0.257 | 4.945 | 1.261 | 3.886 |
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
Rainbow flops topped by a ten or better are the best for JJ (84.49%); low rainbow flops (nine high or lower) are the worst (68.40%). 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 | 43s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.384 | 0.214 | 15.402 | 84.491 |
| Rainbow, nine or lower | 6.314 | 67.863 | 1.073 | 31.064 | 68.400 |
| Two-tone | 46.545 | 77.505 | 0.364 | 22.131 | 77.687 |
| Monotone | 5.212 | 72.919 | 2.576 | 24.505 | 74.207 |
| Paired | 17.334 | 82.949 | 0.343 | 16.708 | 83.120 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 77.47%, JJ changes by +2.07 points, and 43s, from 38.64%, by -18.18.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 79.535 | 77.469 | +2.066 | 1.02667 |
| JJ, rainbow, ten or higher | 84.491 | 77.469 | +7.022 | 1.09064 |
| JJ, rainbow, nine or lower | 68.400 | 77.469 | -9.069 | 0.88293 |
| JJ, two-tone | 77.687 | 77.469 | +0.218 | 1.00281 |
| JJ, monotone | 74.207 | 77.469 | -3.262 | 0.95789 |
| JJ, paired | 83.120 | 77.469 | +5.651 | 1.07295 |
| 43s, all flops | 20.465 | 38.642 | -18.177 | 0.52961 |
| 43s, rainbow, ten or higher | 15.509 | 38.642 | -23.133 | 0.40135 |
| 43s, rainbow, nine or lower | 31.600 | 38.642 | -7.042 | 0.81776 |
| 43s, two-tone | 22.313 | 38.642 | -16.329 | 0.57743 |
| 43s, monotone | 25.793 | 38.642 | -12.849 | 0.66749 |
| 43s, paired | 16.880 | 38.642 | -21.762 | 0.43683 |
Does a shared suit matter?
The suit split reads 80.12% for JJ with a shared suit and 78.95% without one. JJ does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 43s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.858 | 0.523 | 19.619 | 80.119 |
| No shared suit | 12 | 50.00 | 78.728 | 0.445 | 20.827 | 78.950 |
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 43s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $159.08 on average (+$59.08); 43s is worth $40.92 (-$59.08).
Scaled to 1,000 deals, that is roughly 793 wins for JJ, 202 for 43s and 5 chopped pots.
The same matchup from the other side
43s versus JJ is this same page seen from the other hand: 20.46% for 43s, 79.54% for JJ.
Keep exploring
Open the calculator with JsJh against 4d3d 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
We counted every case. Each suit pattern of the 24 specific JJ against 43s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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