92o: the 12 combos
Count every nine and two pairing (16) and take away the suited ones (4): 12 combos are offsuit.
These are the 12 specific hands that count as 92o. Each tile is one two-card holding, and no two tiles are the same hand.
How cards you can see change the count
This is the blocker table for 92o. One visible card of a given rank removes the combos that need it, and the rest stay possible.
| Known card | 92o combos left |
|---|---|
| Ace | 12 |
| King | 12 |
| Queen | 12 |
| Jack | 12 |
| Ten | 12 |
| Nine | 9 |
| Eight | 12 |
| Seven | 12 |
| Six | 12 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 9 |
With a nine or a two in view, 9 of the 12 combos of 92o remain, which removes 25%. Any card of a different rank leaves all 12 combos in play.
When the board is paired
Boards with a pair remove two cards of one rank at once. The rows give the 92o combos left for each paired rank.
| Board pair | 92o combos left |
|---|---|
| Aces | 12 |
| Kings | 12 |
| Queens | 12 |
| Jacks | 12 |
| Tens | 12 |
| Nines | 6 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 12 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 6 |
Only a board pair of nines or twos matters here: 6 combos of 92o remain, against 12 for any other pair.
A worked example
Suppose you look down at a nine and a three. Any opponent hand comes from 1,225 possibilities. 92o makes up 9 of them, which is 0.73% (1 in 136); if you held neither card's rank in common with 92o, it would be 12 of them, 0.98%.
How strong is 92o?
Order all 169 classes by equity against a random hand and 92o lands at number 149, among the 30 weakest classes, with 39.10%. A tie is worth half a win in that figure.
Down to and including 92o, the ranking holds 1,134 combos, or 85.52% of deals; 1,122 of them belong to hands above it.
92o against ranges of hands
Five ranges, five equities for 92o. Counting only the combos your cards leave possible, it has 18.86% against the top 5 percent (60 combos), 25.49% against the top 10 percent (130 combos), 28.59% against the top 20 percent (264 combos), 29.81% against the top 30 percent (386 combos) and 30.89% against the top 50 percent (658 combos).
| Opponent range | Combos in range | 92o equity |
|---|---|---|
| Top 5 percent | 60 | 18.86% |
| Top 10 percent | 130 | 25.49% |
| Top 20 percent | 264 | 28.59% |
| Top 30 percent | 386 | 29.81% |
| Top 50 percent | 658 | 30.89% |
92o is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.
Blockers work on ranges as well as hands. Against the 130 combos of the top 10 percent, 92o leaves an average of 126.00. That is 4.00 combos fewer than the 130 an opponent has before you look.
Hands next to 92o
Look at 92o against the hands that rank next to it. 92o has 57.95% equity against 84o, the hand ranked number 148: it wins 56.32% of boards, ties 3.26% and loses 40.42%. It is the favorite in that matchup. 92o has 53.23% equity against 43s, the hand ranked number 150: it wins 51.66% of boards, ties 3.15% and loses 45.20%. It is the favorite in that matchup.
92s is what the same two ranks look like when they are suited: 4 combos at number 132, 42.42% equity. 92o has 3 times as many combos as 92s and is 3.32 points weaker against a random hand.
Questions about 92o combos
- How many combos of 92o are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt 92o about 1 time in 110.5.
- How many 92o combos are left if I hold a nine?
- 9 combos of 92o remain out of 12. With a three as your other card, an opponent has it about 1 time in 136.
- Is 92o stronger than 92s?
- No: 92o has 39.10% equity against a random hand and ranks number 149, while 92s has 42.42% and ranks number 132. 92s has 4 combos to 92o's 12.
How this was computed
Every 92o combo was listed from the 1,326 two-card holdings. For each blocker or board-pair row, the combos that contain a visible card were dropped and the rest were counted.
The rank and equity figures use our matchup table, which counts all 1,712,304 boards for each pair of classes. Ties are halves, and range matchups are weighted by live combos.
Source: GeorgeLiPoker's own count of the 52-card deck and its preflop matchup table.