There are 1,326 possible
combinations of two hole cards from a standard 52-card deck in hold 'em, but since suits have no absolute value in this poker variant, many of these hands are identical in value before the
flop. For example, and are identical in value, because each is a hand consisting of an ace and a jack of the same suit. Therefore, there are 169 non-equivalent starting hands in hold 'em, which is the total count of 13 pocket pairs, 13 × 12 x 1 / 2 = 78 suited hands and likewise 78 unsuited hands (13 + 78 + 78 = 169). These 169 hands are not equally likely. Hold 'em hands are sometimes classified as having one of three "shapes": •
Pairs, (or "pocket pairs"), which consist of two cards of the same rank (e.g., ). One hand in 17 will be a pair, P(pair) = 1/17. :Alternative means of making this calculation :
First Step :As confirmed above. :There are 1326 possible combinations of opening hand. :
Second Step :There are six different combinations of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s. Therefore, there are 78 possible combinations of pocket pairs (6 multiplied by 13 i.e. 22-AA) :To calculate the odds of being dealt a pair :78 (the number of any particular pair being dealt. As above) divided by 1326 (possible opening hands) :78/1326 ≈ 0.0588 or 5.88% •
Suited hands, which contain two cards of the same suit (e.g. ). Probability of first card is 1.0 (any of the 52 cards) Probability of second hand suit matching the first: There are 13 cards per suit, and one is in your hand leaving 12 remaining of the 51 cards remaining in the deck. 12/51 ≈ 0.2353 or 23.53% •
Offsuit hands, which contain two cards of a different suit and rank (e.g. ). 70.59% of all hands are offsuit non-paired hands Offsuit pairs = 78 Other offsuit hands = 936 It is typical to abbreviate suited hands in hold 'em by affixing an "s" to the hand, as well as to abbreviate non-suited hands with an "o" (for offsuit). That is, :QQ represents any pair of queens, :KQ represents any king and queen, :AKo represents any ace and king of different suits, and :JTs represents any jack and ten of the same suit. ==Limit hand rankings==