62s combos

62s: the 4 combos

A suited hand needs both cards in one suit, so each of the 4 suits gives exactly 1 combo: 4 in all.

Here is every one of the 4 combos, written as the two cards you would see. Clubs, diamonds, hearts and spades each appear in the way the count above requires.

• 6♠2♠
• 6♥2♥
• 6♦2♦
• 6♣2♣

How cards you can see change the count

Seeing a card changes which hands are possible. Here is the count of 62s combos that remain after you hold, or the board shows, one card of each rank.

Holding a six or a two takes 62s from 4 combos down to 3, a cut of 25%. Any card of a different rank leaves all 4 combos in play.

When the board is paired

A paired board shows two cards of one rank, and those two cards cannot be in an opponent's hand either. The table shows the 62s combos left when the board holds a pair of each rank.

Sixes or twos paired on the board leave 2 combos of 62s, and no other pair changes the count of 4.

A worked example

You hold a six and a three. Your opponent's hand is one of 1,225 equally likely two-card holdings. 3 of them are 62s, which is 0.24%, or about 1 in 408. If your two cards had nothing to do with 62s, the same hand would have 4 combos and a 0.33% chance, about 1 in 306.

How strong is 62s?

Measured against a random hand, 62s has 37.67% equity and the number 156 spot of 169, among the 30 weakest classes. Wins count once and ties count half.

Together with all stronger classes, 62s covers 1,186 combos, which is 89.44% of the 1,326 starting hands.

62s against ranges of hands

Against a range, equity is averaged over every hand in it, weighted by how many combos of each hand are still possible. 62s makes 20.81% against the top 5 percent (60 combos), 28.63% against the top 10 percent (130 combos), 32.38% against the top 20 percent (264 combos), 33.51% against the top 30 percent (386 combos) and 34.42% against the top 50 percent (658 combos).

62s is behind all five of these ranges, even the top 50 percent, so it is the underdog on average against each of them.

Your own cards block part of an opponent's strong range. The top 10 percent holds 130 combos, and when you hold a combo of 62s an average of 127.00 of them stay possible. That is 3.00 combos fewer than the 130 an opponent has before you look.

Hands next to 62s

Compare 62s with the hand ranked just above it and the hand just below it. 62s has 60.83% equity against 52s, the hand ranked number 155: it wins 49.48% of boards, ties 22.69% and loses 27.83%. It is the favorite in that matchup. 62s has 42.16% equity against 83o, the hand ranked number 157: it wins 39.74% of boards, ties 4.84% and loses 55.42%. It is the underdog in that matchup.

The offsuit twin of 62s is 62o, ranked number 167 with 34.08% equity against a random hand. 62o is 3 times as many combos but 3.59 points weaker against a random hand.

Questions about 62s combos

How many combos of 62s are there?

4 combos, which is 0.30% of the 1,326 two-card starting hands, so you are dealt 62s about 1 time in 331.5.

How many 62s combos are left if I hold a six?

3 combos of 62s remain out of 4. With a three as your other card, an opponent has it about 1 time in 408.

Is 62s stronger than 62o?

Yes, by 3.59 points: 62s has 37.67% equity against a random hand and ranks number 156, while 62o has 34.08% and ranks number 167. 62o has 12 combos to 62s's 4.

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.