# Three of a kind poker probability

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The most frequent question is by far if Three of a Kind beats Two Pairs. The question is often stated like “How does three 3’s beat my two pairs of Kings and Jacks?”. This seems confusing for a surprising number of people.

Three of a kind hands that differ by suit alone, such as 9 ♠ 9 ♥ 9 ♦ 10 ♦ 8 ♥ and 9 ♣ 9 ♠ 9 ♥ 10 ♦ 8 ♦, are of equal rank. In community card games, such as Texas hold 'em, three of a kind is called a set only when it comprises a pocket pair and a third card on the board. The probabilities of poker hands | All Math Considered There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise. combinatorics - Ways of getting three of a kind in a 52 card ... Three of a kind in a deck means you draw 3 cards of the same rank, and 2 other cards each of different ranks. So. The solution in my book is the following: (13 C 1)(4 C 3) * (12 C 2)(4 C 1)(4 C 1) The logic is the following: 1) Choose 1 out of the 13 ranks, then for the 4 cards in the chosen rank, pick 3. Poker 4 Of A Kind Probability - raffaeleruberto.com

## In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands.

Poker probability for two of a kind | Physics Forums What is the probability that at least two of a kind will be dealt in a hand of 5 cards using a standard deck of 52 cards? I tried to work this problem by using the idea of complement and first figuring out the probability that no cards would match. 1 - (52 *48*44*42*36)/ (52*51*50*49*48) which ... Math Forum - Ask Dr. Math Archives: Poker Probabilities Poker Probabilities, a selection of answers from the Dr. Math archives. Poker Hand Probabilities What are the probabilities for all of the different types of poker hands? Poker Combinations In a standard deck of cards, how many different ways are there to get a straight, a flush, a straight flush, one pair, or two pairs?

### Probability of Three of a Kind (fraction) The number of possibilities of a Three of a Kind hand is the number of card values, ((13),(1)); times the number of combinations of three suits being chose from four suits, ((4),(3)); times the number of combinations of choosing two cards that are not the same value as the three of the same value,...

Three Card Poker Hand Probabilities & Odds 3 Card Poker Hand Probabilities . Three card poker is always played with one deck of 52 cards. There are a total of 22,100 different ways that three cards can be dealt. Using a bit of math we can determine the probability of each hand. The table below shows the ways, probabilities and odds for each hand. The Probability of Having a Three-of-a-Kind Card Combination ... The Probability of Having a Three-of-a-Kind Card Combination in Poker. Situated just above the two pair card combination in the poker hand rankings, the three-of-a-kind is one of the most respectable hands in the game. It is fundamentally made up of three cards with similar values going with a couple of individual cards. What Are Different Types of Probability? | Reference.com

## The types of 4-card poker hands are 4-of-a-kind straight flush 3-of-a-kind straight two pairs flush ... Here is a table summarizing the number of 4-card poker hands. The probability is the probability of having the hand dealt to you when dealt 4 cards. hand number ...

Poker players have a 2.11 percent probability of getting a three-of-a-kind hand over the other card combinations in the poker hand rankings. Video Poker - Probability - Wizard of Odds