T2o: the 12 combos
Pair each of the 4 tens with each of the 4 twos to get 16, then remove the 4 suited pairings. T2o is the other 12.
The list below names all 12 holdings behind T2o. A hand range that says T2o means every one of them at once.
How cards you can see change the count
Start from 12 combos and remove every combo that uses a card you can see. The table does that for one known card of each rank.
| Known card | T2o combos left |
|---|---|
| Ace | 12 |
| King | 12 |
| Queen | 12 |
| Jack | 12 |
| Ten | 9 |
| Nine | 12 |
| Eight | 12 |
| Seven | 12 |
| Six | 12 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 9 |
Only two ranks change the count: a ten or a two leaves 9 combos, 25% fewer. Any card of a different rank leaves all 12 combos in play.
When the board is paired
When the board pairs, two more cards are gone. Here is what remains of T2o for a board pair of each rank, ace down to two.
| Board pair | T2o combos left |
|---|---|
| Aces | 12 |
| Kings | 12 |
| Queens | 12 |
| Jacks | 12 |
| Tens | 6 |
| Nines | 12 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 12 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 6 |
A board pair of tens or twos leaves 6 combos of T2o; a pair of any other rank leaves all 12.
A worked example
Try it with a ten and a three in your hand. 1,225 two-card holdings are left, 9 of which are T2o. The chance is 0.73%, about 1 in 136, against 0.98% when none of your cards blocks it.
How strong is T2o?
By equity against a random hand, T2o is number 135 of 169, below the middle of the ranking. Its 41.67% counts wins in full and ties as half, over all 1,712,304 boards, for every pair of hands that can be dealt.
Stop the ranking at T2o and the list holds 1,022 combos, 77.07% of the 1,326. The hands above it account for 1,010 of those.
T2o against ranges of hands
Opponents rarely hold a random hand, so here is T2o against five top-percent ranges, each hand weighted by its live combos: 20.52% against the top 5 percent (60 combos), 25.41% against the top 10 percent (130 combos), 28.73% against the top 20 percent (264 combos), 30.23% against the top 30 percent (386 combos) and 31.57% against the top 50 percent (658 combos).
| Opponent range | Combos in range | T2o equity |
|---|---|---|
| Top 5 percent | 60 | 20.52% |
| Top 10 percent | 130 | 25.41% |
| Top 20 percent | 264 | 28.73% |
| Top 30 percent | 386 | 30.23% |
| Top 50 percent | 658 | 31.57% |
T2o is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.
On average 123.00 of the 130 combos in the top 10 percent are still possible once you hold a combo of T2o. That is 7.00 combos fewer than the 130 an opponent has before you look.
Hands next to T2o
Hands next to T2o in the ranking are not always close in a head-to-head. T2o has 53.48% equity against 74s, the hand ranked number 134: it wins 52.48% of boards, ties 2.00% and loses 45.52%. It is the favorite in that matchup. T2o has 52.14% equity against 54s, the hand ranked number 136: it wins 51.12% of boards, ties 2.04% and loses 46.83%. It is the favorite in that matchup.
T2s holds the same two ranks as T2o but not the same suits, and it ranks number 118 at 44.84% equity. T2o has 3 times as many combos as T2s and is 3.17 points weaker against a random hand.
Questions about T2o combos
- How many combos of T2o are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt T2o about 1 time in 110.5.
- How many T2o combos are left if I hold a ten?
- 9 combos of T2o remain out of 12. With a three as your other card, an opponent has it about 1 time in 136.
- Is T2o stronger than T2s?
- No: T2o has 41.67% equity against a random hand and ranks number 135, while T2s has 44.84% and ranks number 118. T2s has 4 combos to T2o's 12.
How this was computed
Counting is done on the deck: 1,326 hands, 169 classes. The rows of each table apply the same rule, delete any combo that uses a card now visible, and report what is left.
For rank and equity, the page reads a table of preflop matchups with all 1,712,304 boards counted per pair of classes. Ties are halves and ranges use live-combo weights.
Source: GeorgeLiPoker's own count of the 52-card deck and its preflop matchup table.