JTo: the 12 combos
Pair each of the 4 jacks with each of the 4 tens to get 16, then remove the 4 suited pairings. JTo is the other 12.
The list below names all 12 holdings behind JTo. A hand range that says JTo 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 | JTo combos left |
|---|---|
| Ace | 12 |
| King | 12 |
| Queen | 12 |
| Jack | 9 |
| Ten | 9 |
| Nine | 12 |
| Eight | 12 |
| Seven | 12 |
| Six | 12 |
| Five | 12 |
| Four | 12 |
| Three | 12 |
| Two | 12 |
Only two ranks change the count: a jack or a ten 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 JTo for a board pair of each rank, ace down to two.
| Board pair | JTo combos left |
|---|---|
| Aces | 12 |
| Kings | 12 |
| Queens | 12 |
| Jacks | 6 |
| Tens | 6 |
| Nines | 12 |
| Eights | 12 |
| Sevens | 12 |
| Sixes | 12 |
| Fives | 12 |
| Fours | 12 |
| Threes | 12 |
| Twos | 12 |
A board pair of jacks or tens leaves 6 combos of JTo; a pair of any other rank leaves all 12.
A worked example
Try it with a jack and a two in your hand. 1,225 two-card holdings are left, 9 of which are JTo. The chance is 0.73%, about 1 in 136, against 0.98% when none of your cards blocks it.
How strong is JTo?
By equity against a random hand, JTo is number 57 of 169, inside the top 60 classes. Its 55.25% 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 JTo and the list holds 410 combos, 30.92% of the 1,326. The hands above it account for 398 of those.
JTo against ranges of hands
Opponents rarely hold a random hand, so here is JTo against five top-percent ranges, each hand weighted by its live combos: 30.96% against the top 5 percent (60 combos), 33.10% against the top 10 percent (130 combos), 35.73% against the top 20 percent (264 combos), 38.43% against the top 30 percent (386 combos) and 43.46% against the top 50 percent (658 combos).
| Opponent range | Combos in range | JTo equity |
|---|---|---|
| Top 5 percent | 60 | 30.96% |
| Top 10 percent | 130 | 33.10% |
| Top 20 percent | 264 | 35.73% |
| Top 30 percent | 386 | 38.43% |
| Top 50 percent | 658 | 43.46% |
JTo 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 115.00 of the 130 combos in the top 10 percent are still possible once you hold a combo of JTo. That is 15.00 combos fewer than the 130 an opponent has before you look.
Hands next to JTo
Hands next to JTo in the ranking are not always close in a head-to-head. JTo has 42.39% equity against Q9o, the hand ranked number 56: it wins 41.93% of boards, ties 0.92% and loses 57.15%. It is the underdog in that matchup. JTo has 44.98% equity against K7o, the hand ranked number 58: it wins 44.66% of boards, ties 0.64% and loses 54.70%. It is the underdog in that matchup.
JTs holds the same two ranks as JTo but not the same suits, and it ranks number 45 at 57.53% equity. JTo has 3 times as many combos as JTs and is 2.28 points weaker against a random hand.
Questions about JTo combos
- How many combos of JTo are there?
- 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt JTo about 1 time in 110.5.
- How many JTo combos are left if I hold a jack?
- 9 combos of JTo remain out of 12. With a two as your other card, an opponent has it about 1 time in 136.
- Is JTo stronger than JTs?
- No: JTo has 55.25% equity against a random hand and ranks number 57, while JTs has 57.53% and ranks number 45. JTs has 4 combos to JTo'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.