T4s: the 4 combos
A suited hand needs both cards in one suit, so each of the 4 suits gives exactly 1 combo: 4 in all.
Below are the 4 exact two-card holdings in T4s. When a range chart marks T4s, it marks all of them together.
How cards you can see change the count
How many T4s 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 | T4s combos left |
|---|---|
| Ace | 4 |
| King | 4 |
| Queen | 4 |
| Jack | 4 |
| Ten | 3 |
| Nine | 4 |
| Eight | 4 |
| Seven | 4 |
| Six | 4 |
| Five | 4 |
| Four | 3 |
| Three | 4 |
| Two | 4 |
Holding a ten or a four takes T4s from 4 combos down to 3, a cut of 25%. Any card of a different rank leaves all 4 combos in play.
When the board is paired
Board pairs take away more combos than a single card does. The table lists the T4s count for each possible pair on the board.
| Board pair | T4s combos left |
|---|---|
| Aces | 4 |
| Kings | 4 |
| Queens | 4 |
| Jacks | 4 |
| Tens | 2 |
| Nines | 4 |
| Eights | 4 |
| Sevens | 4 |
| Sixes | 4 |
| Fives | 4 |
| Fours | 2 |
| Threes | 4 |
| Twos | 4 |
Tens or fours paired on the board leave 2 combos of T4s, and no other pair changes the count of 4.
A worked example
Here is the count in a real spot. You hold a ten and a two, which leaves 1,225 hands for your opponent. T4s is 3 of them, a 0.24% chance. A hand with no ten in it would give 4 combos, 0.33%.
How strong is T4s?
Number 108 of 169: that is where T4s sits when hands are ordered by equity against a random hand, below the middle of the ranking. The figure is 46.53%, wins plus half the ties.
Counting from the top, T4s is where the running total reaches 802 combos (60.48% of 1,326). The 798 combos before it are all stronger classes.
T4s against ranges of hands
Equity against a range is a weighted average of the matchups with every hand in it. The numbers for T4s: 25.08% against the top 5 percent (60 combos), 29.98% against the top 10 percent (130 combos), 33.09% against the top 20 percent (264 combos), 34.45% against the top 30 percent (386 combos) and 36.49% against the top 50 percent (658 combos).
| Opponent range | Combos in range | T4s equity |
|---|---|---|
| Top 5 percent | 60 | 25.08% |
| Top 10 percent | 130 | 29.98% |
| Top 20 percent | 264 | 33.09% |
| Top 30 percent | 386 | 34.45% |
| Top 50 percent | 658 | 36.49% |
T4s 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 4 combos of T4s you might hold, 123.00 of its 130 combos remain on average. That is 7.00 combos fewer than the 130 an opponent has before you look.
Hands next to T4s
The hands on either side of T4s in the ranking make a useful pair of comparisons. T4s has 39.95% equity against J5o, the hand ranked number 107: it wins 39.27% of boards, ties 1.37% and loses 59.37%. It is the underdog in that matchup. T4s has 57.87% equity against 97o, the hand ranked number 109: it wins 56.90% of boards, ties 1.94% and loses 41.16%. It is the favorite in that matchup.
The offsuit form, T4o, ranks number 125 with 43.50% equity against a random hand. T4o is 3 times as many combos but 3.03 points weaker against a random hand.
Questions about T4s combos
- How many combos of T4s are there?
- 4 combos, which is 0.30% of the 1,326 two-card starting hands, so you are dealt T4s about 1 time in 331.5.
- How many T4s combos are left if I hold a ten?
- 3 combos of T4s remain out of 4. With a two as your other card, an opponent has it about 1 time in 408.
- Is T4s stronger than T4o?
- Yes, by 3.03 points: T4s has 46.53% equity against a random hand and ranks number 108, while T4o has 43.50% and ranks number 125. T4o has 12 combos to T4s's 4.
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.