Poker Flush Beats Full House

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The straight flush, with 36 possible combinations, is a far more rare hand than a full house, with 3,744 possible combos. A straight flush beats a full house in the standard poker rankings. In Texas Hold’em, you have a 0.0279% chance of making a straight flush with all five community cards on the board. This excludes the royal flush, which is an ace-high straight flush (like A♠ K♠ Q♠ J♠ T♠).

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  1. A Straight Flush and 4 of a Kind are stronger than a Full House, and a Full House is rarely beaten on the river in a game of Texas Hold’em poker. There are at least 5 different poker hand combinations that rank lower than a Full House, and the next one on our list is a Flush. The best possible Flush you can form is an Ace-high Flush.
  2. In the case where two players have a flush or straight, the person who has the highest card in their hand wins. For example, T9876 beats 76543. If two or more players have a full house. In the case of multiple full houses, the player with the highest “trips” as part of their full house wins. For example, TTT22 beats 555AA.
  3. A Flush is beaten by the best poker hands in the game: Full House, Four of a Kind, Straight Flush, and Royal Flush. It is also possible for a Flush to lose to another Flush hand.
  4. Simply because, from a well-shuffled deck of cards, the probability of getting a full house is less than the probability of getting a flush. In five-card poker, there are 3,744 possible full houses; the probability of being dealt one is.
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Poker Flush Beats Full House Download

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Poker Flush Beats Full House
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What beats what in Poker?

Need a reminder of the rankings in an easy to print format? Click the image below to get a printable poker hand rankings chart pdf (opens in new tab).

Poker Hand Rank #1 - Royal Flush

The highest of all Poker hands, a Royal Flush is 10, J, Q, K, A of the same suit:

Poker Hand Rank #2 - Straight Flush

A Straight Flush is five cards in consecutive numerical order, all of the same suit.
If there are two Straight Flushes at the same table, the one which runs to the highest value card wins.

Poker Hand Rank #3 - Four of a kind

Four of a kind means four cards of the same value and any other card.
If there are two hands with Four of a kind in the same game, the highest ranking Four of a kind wins i.e. four Ks beats four 9s.

Poker Hand Rank #4 - Full house

A Full House is three cards of the same value and another two cards that form a pair (same value).
If two players have a Full House (with the joker), the rank is decided first by the Three of a kind, then by the pair.

Poker Hand Rank #5 - Flush

A Flush is five non-consecutive cards of the same suit.
The Flush is named after the highest card, so the example below is a Jack Flush.
If two players have the same Flush, the rank is decided by the second highest card. In the unlikely event of the first two cards in two Flushes being the same, the rank is decided by the third card, then the fourth, then the fifth.

Poker Hand Rank #6 - Straight

A Straight is five consecutive cards, but not of the same suit.
As with the Straight Flush, in the event of a tie, the winner is the flush which runs to the highest value card.
A 'Straight to'means the highest card in the run, so 5, 6, 7, 8, 9 is a 'Straight to 9'

Poker Hand Rank #7 - Three of a kind

Three cards of the same value, and two supporting cards that are not a pair:

Poker Hand Rank #8 - Two pair

Two sets of pairs, and another random card.
In the unlikely event of two players having the same two pairs, the highest supporting card is used to determine the winner.

Poker Hand Rank #9 - Pair

Two cards of the same value and three random supporting cards.
If two players have a pair, the highest pair wins. In the event of a tie, the highest supporting cards determine the winner.

Poker Hand Rank #10 - High card

A hand with none of the above rankings.
The hand is named after the highest card, 7 high being the lowest, Ace high the highest. The example below is therefore a King high.

Flush Poker Hand Ranking

A flush is a hand that contains five cards all of the same suit, not all of the sequential rank, such as Q♣ 9♣ 7♣ 2♣ 3♣ (a king-high flush). It ranks below a full house and above a straight. Under ace-to-five low rules, flushes are not possible (so K 8 4 3 2 is a King-high hand).

Poker Flush Beats Full House Game

Each flush is ranked first by the rank of its highest-ranking card, then by the rank of its second highest-ranking card, then by the rank of its third highest-ranking card, then by the rank of its fourth highest-ranking card, and finally by the rank of its lowest-ranking card.
Example: K J 9 6 4 ranks higher than Q♣ J♣ 7♣ 6♣ 5♣, which ranks higher than J 10 9 4 2, which ranks higher than J♠ 10♠ 8♠ 6♠ 3♠, which ranks higher than J 10 8 4 3, which ranks higher than J♣ 10♣ 8♣ 4♣ 2♣. Flush hands never differ by suit alone. Here 10 8 7 6 5 and 10♠ 8♠ 7♠ 6♠ 5♠, are considered as an equal rank.

A flush beats a straight. A flush is any five cards all of the same suit (i.e., all diamonds or all spades, etc.). If two or more players share a flush then the player with the highest card (all the way to the fifth card if necessary) in the flush wins.

Flush Probabilities

A flush consists of five cards which are all of the same suit. We must remember that there are 4 suits each with a total of 13 cards. Thus a flush is a combination of five cards from a total of 13 of the same suit. This is done in C(13, 5) = 1287 ways. Since there are four different suits, there are a total of 4 x 1287 = 5148 flushes possible.

Some of these flushes have already been counted as higher ranked hands. We must subtract the number of straight flushes and Royal Flushes from 5148 in order to obtain flushes that are not of a higher rank. There are 36 straight flushes and 4 royal flushes. We must make sure not to double count these hands. This means that there are 5148 – 40 = 5108 flushes that are not of a higher rank.

We can now calculate the probability of a flush as 5108/2,598,960 = 0.1965%. This probability is approximately 1/509. So in the long run, one out of every 509 hands is a flush.

The Poker Hands Ranking are listed below,