Full house combination in poker

Each of us at least once in our lives on TV has watched the following picture: a player, who collected Full House, sits with a smug face, and strongly surprised when his opponent opens a square or Royal Flush. Fortunately, this rarely happens in reality.

Don’t feel bad: yes, Full is indeed inferior to the above poker combinations, but in practice it is more often inferior to its senior. An experienced player differs from a beginner in the ability to correctly use the Full House combination in poker and squeeze the maximum out of it.

The combination consists of five cards: three of equal value and a pair. This is one of those combinations in which all five cards can take part. A simpler explanation of the essence of this combination: “Full” consists of a pair and a set.

Probability of forming the combination

“Full House” is considered one of the strongest combinations in poker, but the probability in poker of its formation is noticeably higher than, say, a square. As practice shows, with a long stay at the gaming table, Full House can be caught several times. Below we present the mathematical calculations for the formation of the combination:

  • Pocket Pair – the probability of forming this combination of cards on the flop is 1%.
  • Two cards of different values, as pocket cards – 0.1% on the flop.
  • A three on the flop increases the probability of forming a hand on the turn to 13%.
  • With a three on the flop, there is a 30% chance of forming a Full House in poker until the river.
  • With a three on the turn, there is a 19.5% chance of forming a hand before the river.
  • With two pairs on the flop, it’s hard to make a full house before the turn. The odds are 8.5%.
  • With two pairs on the flop, there is a 16.5% chance of forming this combination before the river.
  • Two pairs on the turn leads to a 9% chance that the player will raise a full house before the river.

Whose Full House is higher?

There is often a game situation where one hand is inferior to the other. When two players at the same game table form a Full House, seniority is determined by the three. The player whose combination has the stronger three wins. For example, you have a set of three tens and two kings, and your opponent has three nines and two aces. You win, as you have the oldest Full House, based on the seniority of the three.

But what if you’re in a situation where both of your FX combinations have a similar three?

In that case, seniority is determined by a deuce, based on the above principles. Example: A hand with three tens and two queens is stronger than a hand with three tens and two jacks.

Formation of the combination in Hold’em

To establish the features and strength of the Full House combination in poker it is necessary to understand the principle of its formation. In the most popular variety of poker – Texas Holdem, “FH” is formed by following one of four options:

  • A pocket pair plus a common three on the playing table.
  • Two different pocket pairs plus three common cards: one of the pocket pairs matches the common pair, and the other pocket pair forms a deuce with the common card.
  • Full House in poker, collected from one pocket card and four common: a pocket card finds a pair among the common, plus a three formed from the cards on the game table.
  • Five common cards: there is a pair and a three on the game table. Seniority is determined by the highest pocket card.

When analyzing your hand, you should always consider which of these ways the combination was made, because that’s what decides which Full House is higher. Based on the information obtained, it is possible to form further strategy in poker:

  • If the “FX” is formed from common cards, it means that all the opponents have this combination. It also means that someone has a stronger hand than you. So, in this situation, it’s best not to take any chances and, if your opponents play aggressively, discard.
  • An “Fx” of two pocket cards and three community cards gives you an opportunity to play bolder. Not being too aggressive on the preflop is a good sign.
  • A Full House in poker, made up of two unpaired pocket cards and three community cards, provides an opportunity to trade aggressively, increasing the pot. Opponents are unlikely to be able to read your combination, and may interpret your actions as a bluff.

Also note that this hand is much stronger than the flush and the straight.

Forming a Hand in Omaha

The second most popular poker discipline, Omaha, Full House is formed on similar principles, but there are a number of distinctive features. For example, in Omaha, the Full House must include both pocket cards. Therefore, this combination can be formed in two ways:

  • A pocket deuce and a common three.
  • A pocket card plus an identical card on the playing table and a pocket card plus a common pair.

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