KTo: the 12 combos
Count every king and ten pairing (16) and take away the suited ones (4): 12 combos are offsuit.
These are the 12 specific hands that count as KTo. 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 KTo. One visible card of a given rank removes the combos that need it, and the rest stay possible.
| Known card | KTo combos left |
|---|---|
| Ace | 12 |
| King | 9 |
| Queen | 12 |
| Jack | 12 |
| Ten | 9 |
| Nine | 12 |
| Eight | 12 |
| Seven | 12 |
| Six | 12 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 12 |
With a king or a ten in view, 9 of the 12 combos of KTo 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 KTo combos left for each paired rank.
| Board pair | KTo combos left |
|---|---|
| Aces | 12 |
| Kings | 6 |
| Queens | 12 |
| Jacks | 12 |
| Tens | 6 |
| Nines | 12 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 12 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 12 |
Only a board pair of kings or tens matters here: 6 combos of KTo remain, against 12 for any other pair.
A worked example
Suppose you look down at a king and a two. Any opponent hand comes from 1,225 possibilities. KTo makes up 9 of them, which is 0.73% (1 in 136); if you held neither card's rank in common with KTo, it would be 12 of them, 0.98%.
How strong is KTo?
Order all 169 classes by equity against a random hand and KTo lands at number 33, inside the top 60 classes, with 59.74%. A tie is worth half a win in that figure.
Down to and including KTo, the ranking holds 224 combos, or 16.89% of deals; 212 of them belong to hands above it.
KTo against ranges of hands
Five ranges, five equities for KTo. Counting only the combos your cards leave possible, it has 32.67% against the top 5 percent (60 combos), 32.99% against the top 10 percent (130 combos), 38.90% against the top 20 percent (264 combos), 44.08% against the top 30 percent (386 combos) and 52.68% against the top 50 percent (658 combos).
| Opponent range | Combos in range | KTo equity |
|---|---|---|
| Top 5 percent | 60 | 32.67% |
| Top 10 percent | 130 | 32.99% |
| Top 20 percent | 264 | 38.90% |
| Top 30 percent | 386 | 44.08% |
| Top 50 percent | 658 | 52.68% |
The line sits between the top 30 and top 50 percent: KTo is behind the narrower range and ahead of the wider one.
Blockers work on ranges as well as hands. Against the 130 combos of the top 10 percent, KTo leaves an average of 114.00. That is 16.00 combos fewer than the 130 an opponent has before you look.
Hands next to KTo
Look at KTo against the hands that rank next to it. KTo has 42.60% equity against A8o, the hand ranked number 32: it wins 42.39% of boards, ties 0.41% and loses 57.20%. It is the underdog in that matchup. KTo has 69.63% equity against QTs, the hand ranked number 34: it wins 68.22% of boards, ties 2.83% and loses 28.96%. It is the favorite in that matchup.
KTs is what the same two ranks look like when they are suited: 4 combos at number 22, 61.79% equity. KTo has 3 times as many combos as KTs and is 2.05 points weaker against a random hand.
Questions about KTo combos
- How many combos of KTo are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt KTo about 1 time in 110.5.
- How many KTo combos are left if I hold a king?
- 9 combos of KTo remain out of 12. With a two as your other card, an opponent has it about 1 time in 136.
- Is KTo stronger than KTs?
- No: KTo has 59.74% equity against a random hand and ranks number 33, while KTs has 61.79% and ranks number 22. KTs has 4 combos to KTo's 12.
How this was computed
Every KTo 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.