K6o combos

K6o: the 12 combos

For K6o, there are 4 kings and 4 sixes, so 16 pairings, and the 4 that share a suit belong to the suited hand. That leaves 12.

The 12 holdings of K6o are listed below, higher card first. Nothing is left out and nothing appears twice.

• K♠6♥
• K♠6♦
• K♠6♣
• K♥6♠
• K♥6♦
• K♥6♣
• K♦6♠
• K♦6♥
• K♦6♣
• K♣6♠
• K♣6♥
• K♣6♦

How cards you can see change the count

Combos shrink when cards are visible. The rows below give the K6o count left after one known card of each rank, from the ace down to the two.

A king or a six 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

Now put two cards of the same rank on the board. This table counts the combos of K6o that are still possible after a board pair of each rank.

Pairing kings or sixes on the board cuts K6o to 6 combos. Every other paired board leaves the full 12.

A worked example

Walk through it once. Your hole cards: a king and a two. Your opponent's possible hands: 1,225. Of those, K6o is 9, so the chance is 9 / 1,225 = 0.73%. With no blocking card it would be 12 / 1,225 = 0.98%.

How strong is K6o?

The ranking puts K6o at number 62 out of 169, in the middle of the ranking. Its equity against a random hand is 54.22%, with a tie counted as half a win.

A range that runs from the top of the ranking down to K6o is 454 combos, 34.24% of all two-card hands, and 442 of them rank above K6o itself.

K6o against ranges of hands

Here is how K6o fares against five ranges that run from the top of the ranking down. It scores 26.14% against the top 5 percent (60 combos), 29.53% against the top 10 percent (130 combos), 33.29% against the top 20 percent (264 combos), 35.96% against the top 30 percent (386 combos) and 44.40% against the top 50 percent (658 combos).

K6o is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.

The top 10 percent is 130 combos before you look at your cards. With K6o in your hand, an average of 118.00 are left. That is 12.00 combos fewer than the 130 an opponent has before you look.

Hands next to K6o

Rank is a number on a list, and the matchups with the neighbours show how close or far apart the hands really are. K6o has 56.94% equity against Q7s, the hand ranked number 61: it wins 56.62% of boards, ties 0.64% and loses 42.74%. It is the favorite in that matchup. K6o has 56.35% equity against K3s, the hand ranked number 63: it wins 39.34% of boards, ties 34.04% and loses 26.63%. It is the favorite in that matchup.

K6o has 3 times as many combos as K6s and is 2.42 points weaker against a random hand, and K6s is the suited twin, number 50 of 169 with 56.64% equity.

Questions about K6o combos

How many combos of K6o are there?

12 combos, which is 0.90% of the 1,326 two-card starting hands, so you are dealt K6o about 1 time in 110.5.

How many K6o combos are left if I hold a king?

9 combos of K6o remain out of 12. With a two as your other card, an opponent has it about 1 time in 136.

Is K6o stronger than K6s?

No: K6o has 54.22% equity against a random hand and ranks number 62, while K6s has 56.64% and ranks number 50. K6s has 4 combos to K6o'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.