# What is the probability of getting both a pair and a three of a kind in a game of 5 card poker?

## What is the probability of getting both a pair and a three of a kind in a game of 5 card poker?

Frequency of 5-card poker hands

Hand Distinct hands Probability
Flush (excluding royal flush and straight flush) 1,277 0.1965\%
Straight (excluding royal flush and straight flush) 10 0.3925\%
Three of a kind 858 2.1128\%
Two pair 858 4.7539\%

## Does 2 pairs beat 3 of a kind in poker?

Both three-of-a-kind and two pair are often winners in games that use the standard poker hand rankings (such as Texas Hold’em, Seven Card Stud, and Five Card Draw). But does three-of-a-kind beat two pair? The simple answer is: yes, three-of-a-kind-does beat two pair in poker.

Is 2 pairs higher than 3 of a kind?

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Three-of-a-kind always beats two-pair. The only “made” poker hand that two-pair beats is one pair.

What is the probability that a 5 card poker hand is a flush flush means that all 5 are the same suit?

approximately 0.00198079
A FLUSH. Here all 5 cards are from the same suit (they may also be a straight). The number of such hands is (4-choose-1)* (13-choose-5). The probability is approximately 0.00198079.

### What is the probability of a Royal Flush?

The number of such hands is 4*10, and the probability is 0.0000153908. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be 4*10-4 = 36, with probability approximately 0.0000138517. A ROYAL FLUSH

### How many 5-card flushes are there in poker?

A hand that is a flush must consist of all five cards being of the same suit. Each of the four suits has 13 C5 = 1287 possible five-card hands that are all of the same suit. However, some of those combinations are also straight flushes. Using a Venn diagram can help to visualize the overlapping of the sets. The 40 straight flushes must be

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What is the probability of a straight flush in blackjack?

A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The number of such hands is 4*10, and the probability is 0.0000153908.

What is the probability of all 5 cards from the same suit?

The probability is 0.003940. IF YOU MEAN TO EXCLUDE STRAIGHT FLUSHES AND ROYAL FLUSHES (SEE BELOW), the number of such hands is 10*[4-choose-1]^5 – 36 – 4 = 10200, with probability 0.00392465 A FLUSH Here all 5 cards are from the same suit (they may also be a straight). The number of such hands is (4-choose-1)* (13-choose-5).