Offsuit hands, which contain two cards of a different suit and rank (e.g.There are 13 cards per suit, and one is in your hand leaving 12 remaining of the 51 cards remaining in the deck. Probability of second hand suit matching the first: Probability of first card is 1.0 (any of the 52 cards) Suited hands, which contain two cards of the same suit (e.g.22-AA) To calculate the odds of being dealt a pair 78 (the number of any particular pair being dealt. Therefore, there are 78 possible combinations of pocket pairs (6 multiplied by 13 i.e.

Second Step There are 6 different combos of each pair. There are 1326 possible combination of opening hand. One hand in 17 will be a pair, P(pair) = 1/17.Īlternative means of making this calculation First Step As confirmed above. Pairs, (or 'pocket pairs'), which consist of two cards of the same rank (e.g.Hold 'em hands are sometimes classified as having one of three 'shapes': 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). For example, A ♥ J ♥ and A ♠ J ♠ are identical in value, because each is a hand consisting of an ace and a jack of the same suit. There are 1326 distinct 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. Unless otherwise specified, here the term hand applies to the player's two hole cards, or starting hand. The player's 'playing hand', which will be compared against that of each competing player, is the best 5-card poker hand available from his two hole cards and the five community cards. Betting begins before any of the community cards are exposed, and continues throughout the hand. Five community cards are also dealt into play. In Texas hold 'em, a starting hand consists of two hole cards, which belong solely to the player and remain hidden from the other players.

A pair of aces is the best pre- flop hand in Texas Hold'em Poker

Probability of poker hands texas holdem