--- title: "Q4o Combos: Count, Blockers, Board Pairs" url: "https://georgelipoker.com/combos/q4o.md" canonical_url: "https://georgelipoker.com/combos/q4o" last_updated: "2026-10-21" type: "reference" summary: "Q4o is 12 combos of the 1,326 starting hands (0.90%). See how a known card or a board pair changes the count, plus its rank and equity." related: ["https://georgelipoker.com/combos.md", "https://georgelipoker.com/combos/j7o.md", "https://georgelipoker.com/combos/97s.md"] --- # Q4o Combos: Count, Blockers, Board Pairs Q4o is 12 combos of the 1,326 starting hands (0.90%). See how a known card or a board pair changes the count, plus its rank and equity. A fifty-two card deck deals Q4o in 12 combos, 0.90% of the 1,326 two-card hands. Its place in the ranking of 169 classes is number 93, backed by 49.13% equity against a random hand. - Combos: 12 - Share of 1,326: 0.90% - Rank of 169: 93 - Equity vs random: 49.13% - This hand and stronger: 52.34% ## Q4o: the 12 combos For Q4o, there are 4 queens and 4 fours, so 16 pairings, and the 4 that share a suit belong to the suited hand. That leaves 12. Every Q4o you can be dealt is one of these 12 holdings. They are listed once each, higher card first. The 12 combos of Q4o: Qs 4h, Qs 4d, Qs 4c, Qh 4s, Qh 4d, Qh 4c, Qd 4s, Qd 4h, Qd 4c, Qc 4s, Qc 4h, Qc 4d. ## How cards you can see change the count Known cards cannot be in an opponent's hand. For Q4o, the table lists the combos left after one card of each rank is out of play. Q4o combos left after one known card of each rank: | Known card | Q4o combos left | | --- | --- | | Ace | 12 | | King | 12 | | Queen | 9 | | Jack | 12 | | Ten | 12 | | Nine | 12 | | Eight | 12 | | Seven | 12 | | Six | 12 | | Five | 12 | | Four | 9 | | Three | 12 | | Two | 12 | A queen or a four you can see leaves 9 of 12, so 25% of the combos are gone. Any card of a different rank leaves all 12 combos in play. ## When the board is paired A pair on the board uses up two of the four cards of its rank. The Q4o combos that survive are in the table, one row per rank. Q4o combos left after a pair of each rank on the board: | Board pair | Q4o combos left | | --- | --- | | Aces | 12 | | Kings | 12 | | Queens | 6 | | Jacks | 12 | | Tens | 12 | | Nines | 12 | | Eights | 12 | | Sevens | 12 | | Sixes | 12 | | Fives | 12 | | Fours | 6 | | Threes | 12 | | Twos | 12 | Pairing queens or fours on the board cuts Q4o to 6 combos. Every other paired board leaves the full 12. ## A worked example Take a hand of a queen and a two. Your opponent then holds one of 1,225 possible hands, and 9 of them are Q4o. That is 0.73%, or 1 in 136, instead of the 0.98% (1 in 102) you get when your cards do not block it. ## How strong is Q4o? Rank 93 of 169 belongs to Q4o, in the middle of the ranking, on 49.13% equity against a random hand. Equity here is wins plus half of the ties across all boards. Add Q4o to every hand ranked above it and you hold 694 of the 1,326 two-card hands, 52.34% of all deals. ## Q4o against ranges of hands A range is a list of hands, and equity against it weights each hand by its live combos. For Q4o the five ranges give 23.99% against the top 5 percent (60 combos), 28.13% against the top 10 percent (130 combos), 30.48% against the top 20 percent (264 combos), 31.96% against the top 30 percent (386 combos) and 36.63% against the top 50 percent (658 combos). Q4o equity against the strongest hands: | Opponent range | Combos in range | Q4o equity | | --- | --- | --- | | Top 5 percent | 60 | 23.99% | | Top 10 percent | 130 | 28.13% | | Top 20 percent | 264 | 30.48% | | Top 30 percent | 386 | 31.96% | | Top 50 percent | 658 | 36.63% | Q4o is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them. Holding Q4o removes some premium combos from an opponent's reach: of the 130 in the top 10 percent, an average of 122.00 remain. That is 8.00 combos fewer than the 130 an opponent has before you look. ## Hands next to Q4o A one-place difference in rank can be a large or small gap in a direct matchup. Q4o has 58.60% equity against J7o, the hand ranked number 92: it wins 58.13% of boards, ties 0.95% and loses 40.92%. It is the favorite in that matchup. Q4o has 52.63% equity against 97s, the hand ranked number 94: it wins 52.15% of boards, ties 0.95% and loses 46.90%. It is the favorite in that matchup. Same ranks, other suits: Q4s is the suited version, number 76 of 169 at 51.85%. Q4o has 3 times as many combos as Q4s and is 2.73 points weaker against a random hand. Related to Q4o: - [J7o combos](https://georgelipoker.com/combos/j7o.md) - [97s combos](https://georgelipoker.com/combos/97s.md) - [Q4s combos](https://georgelipoker.com/combos/q4s.md) - [All starting hands](https://georgelipoker.com/combos.md) - [Hand ranking calculator](https://georgelipoker.com/tools/hand-ranking-calculator.md) - [Poker equity calculator](https://georgelipoker.com/tools/equity-calculator.md) ## Questions about Q4o combos **How many combos of Q4o are there?** 12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt Q4o about 1 time in 110.5. **How many Q4o combos are left if I hold a queen?** 9 combos of Q4o remain out of 12. With a two as your other card, an opponent has it about 1 time in 136. **Is Q4o stronger than Q4s?** No: Q4o has 49.13% equity against a random hand and ranks number 93, while Q4s has 51.85% and ranks number 76. Q4s has 4 combos to Q4o's 12. ## How this was computed Combos are counted by listing all 1,326 two-card hands in a 52-card deck and sorting each into its class. The known-card rows remove every combo that uses a card of that rank; the board-pair rows remove those that use either of two such cards. Rank and equity read our table of all 169 by 169 preflop matchups, each counted over every one of the 1,712,304 boards. Ties count as half a win, and a range is weighted by its live combos. Source: GeorgeLiPoker's own count of the 52-card deck and its preflop matchup table. ## Related - [Poker Combos: Count Every Starting Hand](https://georgelipoker.com/combos.md) - [J7o Combos: Count, Blockers, Board Pairs](https://georgelipoker.com/combos/j7o.md) - [97s Combos: Count, Blockers, Board Pairs](https://georgelipoker.com/combos/97s.md)