In Texas Hold’em poker, understanding the odds and probabilities of different hands can greatly enhance your decision-making and strategic play. Let’s explore the odds and probabilities associated with the various hands in Texas Hold’em. We’ll start with the lowest ranking hand and make our way all the way to the highest ranking.
High Card: The odds of being dealt a high card as your best hand are relatively high since it only requires having the highest-ranking card in a hand. The probability of being dealt any specific high card (e.g., an Ace) is approximately 7.62%.
One Pair: The odds of being dealt a pair as your best hand increase significantly compared to a high card. The probability of being dealt a pair of any specific rank (e.g., a pair of Kings) is approximately 5.88%. The probability of forming a pair after the flop, when holding unpaired hole cards, is about 32%.
Two Pair: The odds of getting two pair as your best hand require having two separate pairs. The probability of being dealt two pair is around 2.11%. The odds of forming two pair after the flop when holding a single pair are approximately 4.75%.
Three of a Kind: The odds of being dealt three of a kind as your best hand are lower compared to two pair. The probability of being dealt three of a kind is roughly 2.11%. The odds of forming three of a kind after the flop, with an unimproved hand, are about 7.5%.
Straight: The odds of making a straight increase the need for specific card sequences. The probability of making a straight by the river, with unpaired hole cards, is approximately 4.62%. The odds of completing a straight after the flop, with four connected cards, are around 31.5%.
Flush: The odds of forming a flush require having all five cards of the same suit. The probability of making a flush by the river, with suited hole cards, is roughly 3.03%. The odds of completing a flush after the flop, holding four suited cards, are about 10.9%.
Full House: The odds of making a full house are relatively low compared to the previous hands. The probability of making a full house is approximately 0.14%.
Four of a Kind: The odds of being dealt four of a kind as your best hand are quite rare. The probability of making four of a kind is around 0.02%.
Straight Flush: The odds of forming a straight flush require a specific card sequence of the same suit. The probability of making a straight flush is extremely low, at approximately 0.0014%.
Royal Flush: The odds of making a royal flush, the highest-ranking hand in Texas Hold’em, are incredibly rare. The probability of making a royal flush is approximately 0.000154%.