Why does a full house beat a straight or a flush?

Why does a full house beat a straight or a flush?

In the exquisite game of poker, we have seen a Full House hand beat a Flush and a Straight and the big question that most game poker participants have asked is “why?”

Why does a full house beat a straight or a flush?


The Full House is made up of three cards of one rank and two cards of another rank while a Flush contains five cards all of the same suit, not all of sequential rank and lastly, a Straight contains five cards of sequential rank, not all of the same suit.

These hand ranks are big dogs in poker hand rankings and should be aimed at and feared on every table.



To analysts and players, this answer lies in the power of exclusivity. Simply put, the Full House has a lower chance/probability of appearing as a hand than a Flush or a Straight does.

There are only 3,744 ways to achieve a Full house as opposed to 5,108 possible patterns to make a Flush and a whopping 10,200 patterns that make a straight.

Let’s explain a bit further.

A full house is a hand of three and pair. For example, a Fulll house is 3 aces and 2 fives(called “aces full of fives) or 2 queens and 3 tens(“tens full of queens” or “tens over queens”).

Using a standard deck of 52 cards, there are 156 different methods to end up with a full house. But this doesn’t consider suits.

For suits, there are 24 different ways to give any player a Full House hand.

When suits and no suits patterns are multiplied(according to the laws of probability) it gives us 3,744 possible patterns to achieve a full house. In Texas Hold’em poker(the most utilized version of poker), with all five community cards on the table, there is a 2.6% chance of having a Full House.

A flush is made up of 5 cards in the same suit that don’t appear in a sequence. An example of a flush is a hand of aces consisting of a 2, an 8, a 7, a 10 and a 4.

This hand is called an ace-high club flush.

Excluding straight flushes and royal flushes(which are rarer and higher ranked), there are 5,108 possible five card flushes in a deck of 52.

In Texas Hold’Em, theres a 3.03% chance of achieving a flush with all five community cards on the board.

A straight as the name implies is any five cards in a hand in numerical sequence. Example: 6, 7, 8, 9, 10

A straight is an extremely strong poker hand as well, but conforming to standard poker hand rankings, a full house beats a straight.

In Texas Hold’em, there’s a 4.62% probablity of hitting a straight with all five community cards on the board.

Summarily, the exclusivity of a Full House is where its power lies. Amongst three strong hands, it’s mathematically the hardest to acquire and math has never failed us!

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