92s: the 4 combos
Fix the suit, and the nine and two of that suit are the only choice; four suits make 4 combos.
Spelled out, 92s is these 4 holdings. The suits are what separate them from each other, and the ranks are the same in all.
How cards you can see change the count
A card in your hand or on the board takes combos away from your opponent's possible hands. This table counts what is left of 92s for each rank of card you can see.
| Known card | 92s combos left |
|---|---|
| Ace | 4 |
| King | 4 |
| Queen | 4 |
| Jack | 4 |
| Ten | 4 |
| Nine | 3 |
| Eight | 4 |
| Seven | 4 |
| Six | 4 |
| Five | 4 |
| Four | 4 |
| Three | 4 |
| Two | 3 |
With a nine or a two in view, 3 of the 4 combos of 92s remain, which removes 25%. Any card of a different rank leaves all 4 combos in play.
When the board is paired
Two board cards of one rank are out of reach for your opponent. The table gives the 92s combos that remain for each paired rank.
| Board pair | 92s combos left |
|---|---|
| Aces | 4 |
| Kings | 4 |
| Queens | 4 |
| Jacks | 4 |
| Tens | 4 |
| Nines | 2 |
| Eights | 4 |
| Sevens | 4 |
| Sixes | 4 |
| Fives | 4 |
| Fours | 4 |
| Threes | 4 |
| Twos | 2 |
Only a board pair of nines or twos matters here: 2 combos of 92s remain, against 4 for any other pair.
A worked example
Say your hole cards are a nine and a three. That leaves 1,225 possible two-card hands for an opponent, and 3 of them are 92s: a 0.24% chance, roughly 1 in 408. Without the nine in your hand it would be 4 combos, 0.33%, roughly 1 in 306.
How strong is 92s?
92s ranks number 132 of the 169 starting-hand classes, below the middle of the ranking. Against one random hand it has 42.42% equity, which counts a win as 1 and a tie as one half over every five-card board.
994 of the 1,326 starting hands are 92s or better by this ranking. That is 74.96% of deals.
92s against ranges of hands
Tighter ranges are harder to beat. 92s gets 22.79% against the top 5 percent (60 combos), 29.35% against the top 10 percent (130 combos), 32.36% against the top 20 percent (264 combos), 33.57% against the top 30 percent (386 combos) and 34.64% against the top 50 percent (658 combos), and each figure counts every combo your cards leave possible.
| Opponent range | Combos in range | 92s equity |
|---|---|---|
| Top 5 percent | 60 | 22.79% |
| Top 10 percent | 130 | 29.35% |
| Top 20 percent | 264 | 32.36% |
| Top 30 percent | 386 | 33.57% |
| Top 50 percent | 658 | 34.64% |
92s is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.
Check what 92s does to the top 10 percent range of 130 combos: averaged over its 4, 126.00 remain for an opponent. That is 4.00 combos fewer than the 130 an opponent has before you look.
Hands next to 92s
Rank says who is stronger against a random hand; a head-to-head says who is stronger against each other. 92s has 40.01% equity against T3o, the hand ranked number 131: it wins 39.02% of boards, ties 2.00% and loses 58.99%. It is the underdog in that matchup. 92s has 55.82% equity against 76o, the hand ranked number 133: it wins 54.31% of boards, ties 3.02% and loses 42.67%. It is the favorite in that matchup.
Switch 92s from suited to offsuit and you get 92o: 12 combos, rank 149, 39.10% equity. 92o is 3 times as many combos but 3.32 points weaker against a random hand.
Questions about 92s combos
- How many combos of 92s are there?
- 4 combos, which is 0.30% of the 1,326 two-card starting hands, so you are dealt 92s about 1 time in 331.5.
- How many 92s combos are left if I hold a nine?
- 3 combos of 92s remain out of 4. With a three as your other card, an opponent has it about 1 time in 408.
- Is 92s stronger than 92o?
- Yes, by 3.32 points: 92s has 42.42% equity against a random hand and ranks number 132, while 92o has 39.10% and ranks number 149. 92o has 12 combos to 92s's 4.
How this was computed
Every 92s 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.