62o: the 12 combos
An offsuit hand pairs any six with any two 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 62o. When a range chart marks 62o, it marks all of them together.
How cards you can see change the count
How many 62o 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 | 62o combos left |
|---|---|
| Ace | 12 |
| King | 12 |
| Queen | 12 |
| Jack | 12 |
| Ten | 12 |
| Nine | 12 |
| Eight | 12 |
| Seven | 12 |
| Six | 9 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 9 |
Holding a six or a two takes 62o 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 62o count for each possible pair on the board.
| Board pair | 62o combos left |
|---|---|
| Aces | 12 |
| Kings | 12 |
| Queens | 12 |
| Jacks | 12 |
| Tens | 12 |
| Nines | 12 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 6 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 6 |
Sixes or twos paired on the board leave 6 combos of 62o, and no other pair changes the count of 12.
A worked example
Here is the count in a real spot. You hold a six and a three, which leaves 1,225 hands for your opponent. 62o is 9 of them, a 0.73% chance. A hand with no six in it would give 12 combos, 0.98%.
How strong is 62o?
Number 167 of 169: that is where 62o sits when hands are ordered by equity against a random hand, among the 30 weakest classes. The figure is 34.08%, wins plus half the ties.
Counting from the top, 62o is where the running total reaches 1,302 combos (98.19% of 1,326). The 1,290 combos before it are all stronger classes.
62o against ranges of hands
Equity against a range is a weighted average of the matchups with every hand in it. The numbers for 62o: 16.87% against the top 5 percent (60 combos), 24.79% against the top 10 percent (130 combos), 28.65% against the top 20 percent (264 combos), 29.78% against the top 30 percent (386 combos) and 30.69% against the top 50 percent (658 combos).
| Opponent range | Combos in range | 62o equity |
|---|---|---|
| Top 5 percent | 60 | 16.87% |
| Top 10 percent | 130 | 24.79% |
| Top 20 percent | 264 | 28.65% |
| Top 30 percent | 386 | 29.78% |
| Top 50 percent | 658 | 30.69% |
62o 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 62o you might hold, 127.00 of its 130 combos remain on average. That is 3.00 combos fewer than the 130 an opponent has before you look.
Hands next to 62o
The hands on either side of 62o in the ranking make a useful pair of comparisons. 62o has 62.60% equity against 52o, the hand ranked number 166: it wins 49.89% of boards, ties 25.42% and loses 24.69%. It is the favorite in that matchup. 62o has 62.72% equity against 42o, the hand ranked number 168: it wins 50.02% of boards, ties 25.39% and loses 24.59%. It is the favorite in that matchup.
The suited form, 62s, ranks number 156 with 37.67% equity against a random hand. 62o has 3 times as many combos as 62s and is 3.59 points weaker against a random hand.
Questions about 62o combos
- How many combos of 62o are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt 62o about 1 time in 110.5.
- How many 62o combos are left if I hold a six?
- 9 combos of 62o remain out of 12. With a three as your other card, an opponent has it about 1 time in 136.
- Is 62o stronger than 62s?
- No: 62o has 34.08% equity against a random hand and ranks number 167, while 62s has 37.67% and ranks number 156. 62s has 4 combos to 62o'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.