J6o: the 12 combos
An offsuit hand pairs any jack with any six of a different suit: 4 x 4 = 16 pairings, minus the 4 suited ones, leaves 12.
Below are the 12 exact two-card holdings in J6o. When a range chart marks J6o, it marks all of them together.
How cards you can see change the count
How many J6o combos can an opponent still hold? It depends on the cards you can see, and the table gives the answer for one card of each rank.
| Known card | J6o combos left |
|---|---|
| Ace | 12 |
| King | 12 |
| Queen | 12 |
| Jack | 9 |
| Ten | 12 |
| Nine | 12 |
| Eight | 12 |
| Seven | 12 |
| Six | 9 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 12 |
Holding a jack or a six takes J6o from 12 combos down to 9, a cut of 25%. Any card of a different rank leaves all 12 combos in play.
When the board is paired
Board pairs take away more combos than a single card does. The table lists the J6o count for each possible pair on the board.
| Board pair | J6o combos left |
|---|---|
| Aces | 12 |
| Kings | 12 |
| Queens | 12 |
| Jacks | 6 |
| Tens | 12 |
| Nines | 12 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 6 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 12 |
Jacks or sixes paired on the board leave 6 combos of J6o, and no other pair changes the count of 12.
A worked example
Here is the count in a real spot. You hold a jack and a two, which leaves 1,225 hands for your opponent. J6o is 9 of them, a 0.73% chance. A hand with no jack in it would give 12 combos, 0.98%.
How strong is J6o?
Number 102 of 169: that is where J6o sits when hands are ordered by equity against a random hand, below the middle of the ranking. The figure is 47.84%, wins plus half the ties.
Counting from the top, J6o is where the running total reaches 762 combos (57.47% of 1,326). The 750 combos before it are all stronger classes.
J6o against ranges of hands
Equity against a range is a weighted average of the matchups with every hand in it. The numbers for J6o: 22.28% against the top 5 percent (60 combos), 27.12% against the top 10 percent (130 combos), 30.36% against the top 20 percent (264 combos), 32.11% against the top 30 percent (386 combos) and 34.79% against the top 50 percent (658 combos).
| Opponent range | Combos in range | J6o equity |
|---|---|---|
| Top 5 percent | 60 | 22.28% |
| Top 10 percent | 130 | 27.12% |
| Top 20 percent | 264 | 30.36% |
| Top 30 percent | 386 | 32.11% |
| Top 50 percent | 658 | 34.79% |
J6o is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.
How much of the top 10 percent can an opponent still hold? Across the 12 combos of J6o you might hold, 119.00 of its 130 combos remain on average. That is 11.00 combos fewer than the 130 an opponent has before you look.
Hands next to J6o
The hands on either side of J6o in the ranking make a useful pair of comparisons. J6o has 57.95% equity against T7o, the hand ranked number 101: it wins 57.29% of boards, ties 1.32% and loses 41.39%. It is the favorite in that matchup. J6o has 66.91% equity against 96s, the hand ranked number 103: it wins 64.25% of boards, ties 5.32% and loses 30.43%. It is the favorite in that matchup.
The suited form, J6s, ranks number 85 with 50.61% equity against a random hand. J6o has 3 times as many combos as J6s and is 2.76 points weaker against a random hand.
Questions about J6o combos
- How many combos of J6o are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt J6o about 1 time in 110.5.
- How many J6o combos are left if I hold a jack?
- 9 combos of J6o remain out of 12. With a two as your other card, an opponent has it about 1 time in 136.
- Is J6o stronger than J6s?
- No: J6o has 47.84% equity against a random hand and ranks number 102, while J6s has 50.61% and ranks number 85. J6s has 4 combos to J6o's 12.
How this was computed
The count starts from 1,326 two-card hands sorted into 169 classes. Removing the combos that use known cards gives each blocker and board-pair row, with nothing estimated.
Our preflop table counts every board (1,712,304 of them) for each pair of classes, so rank and equity here are exact. Ties are halves; ranges are weighted by live combos.
Source: GeorgeLiPoker's own count of the 52-card deck and its preflop matchup table.