K6s combos

K6s: the 4 combos

For K6s, the king and the six must share a suit. With 4 suits and one way to pair them in each, the count is 4.

Every K6s you can be dealt is one of these 4 holdings. They are listed once each, higher card first.

• K♠6♠
• K♥6♥
• K♦6♦
• K♣6♣

How cards you can see change the count

Known cards cannot be in an opponent's hand. For K6s, the table lists the combos left after one card of each rank is out of play.

A king or a six you can see leaves 3 of 4, so 25% of the combos are gone. Any card of a different rank leaves all 4 combos in play.

When the board is paired

A pair on the board uses up two of the four cards of its rank. The K6s combos that survive are in the table, one row per rank.

Pairing kings or sixes on the board cuts K6s to 2 combos. Every other paired board leaves the full 4.

A worked example

Take a hand of a king and a two. Your opponent then holds one of 1,225 possible hands, and 3 of them are K6s. That is 0.24%, or 1 in 408, instead of the 0.33% (1 in 306) you get when your cards do not block it.

How strong is K6s?

Rank 50 of 169 belongs to K6s, inside the top 60 classes, on 56.64% equity against a random hand. Equity here is wins plus half of the ties across all boards.

Add K6s to every hand ranked above it and you hold 350 of the 1,326 two-card hands, 26.40% of all deals.

K6s against ranges of hands

A range is a list of hands, and equity against it weights each hand by its live combos. For K6s the five ranges give 29.83% against the top 5 percent (60 combos), 33.28% against the top 10 percent (130 combos), 36.91% against the top 20 percent (264 combos), 39.49% against the top 30 percent (386 combos) and 47.41% against the top 50 percent (658 combos).

K6s is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.

Holding K6s removes some premium combos from an opponent's reach: of the 130 in the top 10 percent, an average of 118.00 remain. That is 12.00 combos fewer than the 130 an opponent has before you look.

Hands next to K6s

A one-place difference in rank can be a large or small gap in a direct matchup. K6s has 43.41% equity against A4o, the hand ranked number 49: it wins 43.16% of boards, ties 0.49% and loses 56.34%. It is the underdog in that matchup. K6s has 37.43% equity against K8o, the hand ranked number 51: it wins 27.43% of boards, ties 20.01% and loses 52.56%. It is the underdog in that matchup.

Same ranks, other suits: K6o is the offsuit version, number 62 of 169 at 54.22%. K6o is 3 times as many combos but 2.42 points weaker against a random hand.

Questions about K6s combos

How many combos of K6s are there?

4 combos, which is 0.30% of the 1,326 two-card starting hands, so you are dealt K6s about 1 time in 331.5.

How many K6s combos are left if I hold a king?

3 combos of K6s remain out of 4. With a two as your other card, an opponent has it about 1 time in 408.

Is K6s stronger than K6o?

Yes, by 2.42 points: K6s has 56.64% equity against a random hand and ranks number 50, while K6o has 54.22% and ranks number 62. K6o has 12 combos to K6s's 4.

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.