What is a Full House? Thorough Explanation of Poker Hand Strength, Probabilities, and Tie-Breaking

The term “full house,” which represents a packed state in English, is also the name of a poker hand and is a quite powerful hand.

In this article, we will introduce everything from the meaning and origin of a “Full House” in poker to the following:

• Combinations that form a Full House
• Probability of getting a Full House
• Poker strength order and hand list
• Winning and losing between Full Houses

If you want to review poker rules, please also check the article “What is Texas Hold’em? Basic Rules and Strategies Explained Simply!”

What is a “Full House” in Poker?

A Full House is one of the hands in poker, formed by collecting three cards of the same rank and two cards of another rank.

A Full House is written as “full house,” and carries the meaning of a “packed house” from the state of a house or building being full. Also, because the US Congress is sometimes called “The House,” it also means a unanimous vote.

The theory that the name comes from the fact that you use all 5 cards in your hand is the most prominent.

When poker first began, there were no hands like straights or flushes that used 5 cards, so this pair came to be called a Full House.

Card Combinations that Form a Full House

A Full House is a hand formed from a three-of-a-kind and a pair.

For example, as in the image below, if there are 8, J, J, 6, 7 in the community cards and the hole cards are 8, J, a Full House is formed with the combination of 88 and JJJ from the community cards and hole cards.

Because a Full House uses 5 cards, there are no unnecessary cards (kickers) involved in forming it.

Therefore, unless you start with a pair or two pairs are already established when the flop (the first 3 community cards) is revealed, it is a hand that is quite difficult to form.

If you want to know more about poker hands, please refer to the “Poker Hand List” article.

Probability of Getting a Full House

The probability of getting a Full House is 0.14%.

Among randomly drawing cards from 52 playing cards, there are approximately 2.6 million patterns for creating a 5-card combination (including high cards).

Calculation formula: “52! / 5! (52 – 5)! = 2,598,960”

Among those, the combinations of cards that result in a Full House is “13 x 4 x 12 x 6 = 3,744 patterns.”

Calculation formula: 13 ways x 4C3 (combinations of 3 out of 4 suits) x combinations of choosing 1 rank from the remaining 12 ranks x combinations of choosing 2 out of 4 suits.

To find the probability of getting a Full House, you just need to divide the 3,744 patterns by the total, so 3,744 / 2,598,960 is approximately 0.14%.

Strength of Full House in Poker [Hand List]

The Full House, being a 5-card hand, has a high difficulty level to assemble and is a powerful hand.

Specifically, out of the 9 hands, the strength of the Full House is positioned as the 4th strongest from the top.

1. Royal Straight Flush
2. Straight Flush
3. Quads (Four of a Kind)
4. Full House
5. Flush
6. Straight
7. Three of a Kind (Set)
8. Two Pair
9. One Pair

Since the probability of assembling a hand higher than a Full House is less than 0.1% for each, the win rate when holding a Full House can be considered quite high.

For strategies when you have good starting hands, please refer to the “[Basic Poker Knowledge] What are Starting Hands?” article.

Hands Stronger Than a Full House

The following 3 hands are stronger than a Full House.

• Royal Straight Flush (A hand with 10, J, Q, K, A in the same suit)
• Straight Flush (A hand with 5 consecutive numbers in the same suit)
• Four of a Kind (A hand with 4 cards of the same rank)

All of these are rare hands with a probability of appearing significantly lower than 0.1%.

Therefore, you can basically assume that you will almost never lose with a Full House.

How to Decide the Winner Between Full Houses

In a showdown between Full Houses, the winner is decided by comparing the cards that make up each player’s hand.

The players compare the three-of-a-kind part, and the player with the stronger rank wins.

For example, let’s imagine the following pattern.

• Player A: A Full House with three Qs and two 3s
• Player B: A Full House with three 8s and two Qs

In a battle between Full Houses, the three-of-a-kind parts are compared, so Player A, who collected three Qs (a stronger rank), wins.

Win at Poker by Completing a Full House!

In English, “Full House” means things like “packed” or “unanimous vote,” but it is also a term pointing to a hand in poker.

A Full House in poker is a high-difficulty hand where you must produce one set of three cards of the same rank and one set of two cards of the same rank. Its appearance probability is low at 0.14%, and as a rank, it is a powerful hand positioned 4th from the top.

In a battle between Full Houses, the player with the stronger rank in the three-of-a-kind set wins.

The only four hands that can beat this are the Royal Straight Flush, Straight Flush, and Four of a Kind.

If you want to know about hand strengths and probabilities, please refer to the following article.

To assemble a Full House, you simply need a high number of hands. If you want to try getting a Full House in poker, let’s download online poker where you can participate in many hands within a few hours.

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