JJ
79.04%
Wins 78.83%, ties 0.42%
75s
20.96%
Wins 20.75%, ties 0.42%
JJ against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 78.825 | 0.420 | 20.755 | 79.035 |
| 75s | 20.755 | 0.420 | 78.825 | 20.965 |
Here a pocket pair (JJ) meets a suited hand (75s). The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
A lead of 58.08 points is large but not decisive: 75s still takes about 208 of every 1,000 deals. A split pot comes up on 0.42% of boards, so the wins and the equity differ by half of that.
Place 4 of 169 belongs to JJ and place 124 belongs to 75s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 32,393,000 | 173,000 | 8,529,000 |
| 75s | 8,529,000 | 173,000 | 32,393,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 3.770 | 1.269 | 4.818 | 0.265 |
| 75s | 0.265 | 4.818 | 1.269 | 3.770 |
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
Rainbow flops topped by a ten or better are the best for JJ (84.77%); low rainbow flops (nine high or lower) are the worst (64.27%). 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 | 75s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.666 | 0.215 | 15.119 | 84.773 |
| Rainbow, nine or lower | 6.314 | 63.924 | 0.690 | 35.386 | 64.269 |
| Two-tone | 46.545 | 76.982 | 0.296 | 22.722 | 77.130 |
| Monotone | 5.212 | 72.538 | 2.413 | 25.049 | 73.745 |
| Paired | 17.334 | 82.806 | 0.343 | 16.851 | 82.978 |
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
Against one random hand instead, JJ holds 77.47% and 75s holds 43.68%. Facing each other changes that by +1.57 points for JJ and -22.72 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 79.035 | 77.469 | +1.566 | 1.02021 |
| JJ, rainbow, ten or higher | 84.773 | 77.469 | +7.304 | 1.09428 |
| JJ, rainbow, nine or lower | 64.269 | 77.469 | -13.200 | 0.82961 |
| JJ, two-tone | 77.130 | 77.469 | -0.339 | 0.99562 |
| JJ, monotone | 73.745 | 77.469 | -3.724 | 0.95193 |
| JJ, paired | 82.978 | 77.469 | +5.509 | 1.07111 |
| 75s, all flops | 20.965 | 43.676 | -22.711 | 0.48001 |
| 75s, rainbow, ten or higher | 15.227 | 43.676 | -28.449 | 0.34864 |
| 75s, rainbow, nine or lower | 35.731 | 43.676 | -7.945 | 0.81809 |
| 75s, two-tone | 22.870 | 43.676 | -20.806 | 0.52363 |
| 75s, monotone | 26.255 | 43.676 | -17.421 | 0.60113 |
| 75s, paired | 17.022 | 43.676 | -26.654 | 0.38973 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JJ has 79.61%; looking only at deals where they do not, 78.46%. JJ does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | 75s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.377 | 0.464 | 20.159 | 79.609 |
| No shared suit | 12 | 50.00 | 78.273 | 0.376 | 21.351 | 78.461 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JJ against 75s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. JJ's equity of 79.04% is worth $158.08, a $58.08 edge, and 75s' 20.96% is worth $41.92, which is $58.08 under its stake.
Over a long run, 1,000 deals split into about 788 for JJ, 208 for 75s and 4 tied.
The same matchup from the other side
Read it from the other side: 75s against JJ is the same matchup with the numbers swapped, so 75s holds 20.96% and JJ holds 79.04%. That address sends you back to this page.
Keep exploring
Open the calculator with JsJh against 7d5d 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
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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