A full house is one of the strongest hands in poker, so it comes as no surprise that it can beat any straight combination.
In fact, a full house can beat any flush, straight, three-of-a-kind, or other inferior poker hand, and it can only lose to four-of-a-kind, straight flush, and royal flush.
Collisions between full houses and straights are somewhat common in poker, and being on the winning side of such a confrontation is often a very lucrative deal. On the other hand, you should be careful when chasing straights on paired boards, as running into a full house can cost you a lot of money.
Keep reading to learn more about your odds of making a full house and a straight, as well as the probability of the two hands running into each other.
Why Does a Full House Beat a Straight?
Browsing the poker hand rankings chart will quickly tell you that a full house outranks a straight not just by one but by two hand ranks.
The probability of making a full house is significantly lower than that of making a straight, which is why a full house ranks higher in the overall hand rankings.
Regardless of the way you make your straight, the number of hole cards used to make it, or the ranking of cards in your straight, any full house will always be superior to it.
It is worth noting that a full house is only possible in Texas Hold’em Poker on paired boards, while a straight requires at least three cards on the flop that are close enough in rank to make one.
That said, here is a quick look at the probability of making both a full house and a straight on the flop, as well as improving to one after flopping a draw:
| Chances To | Full House | Straight |
| Make it on the Flop | 0.09% – 0.98% | 0% – 1.29% |
| Make it on the Turn | 8.5% – 15% | 8.5% – 17% |
| Make it on the River | 8.7% – 21.7% | 8.7% – 17.4% |
How Often Will You Make a Full House?
Making a full house in Texas Hold’em Poker is no easy feat, as it requires you to combine five exact cards, three of one ranking and two of another.
Starting with a pocket pair, you will end up with a full house on the flop about 1% of the time, which are reasonable odds for one of the most powerful hands in the game.
If you don’t quite catch a full house on the flop, you can make two pairs or three-of-a-kind on the flop, which can turn into a full house on later streets.
The odds of making a full house with a set are significantly higher than those of making a full house with two pairs, as the number of outs working in your favor with a set is significantly higher.
If you flop two pairs, you will have two outs to improve on both the turn and the river. A set, on the other hand, will give you six outs to a full house on the turn and nine outs to a full house on the river if you don’t improve on the turn.
It is also worth noting that a flopped set can turn into four-of-a-kind, with one out giving you quads, the ultimate poker hand on most boards.
Starting with flopped two pairs, you will make a full house about 17% of the time by the river, while a set will turn into a full house or better over 35% of the time.
If you flop trips, you will also be able to improve to a full house, with three outs giving you a full house with both your hole cards and another three outs giving you a more obvious full house with four community cards used.
How Often Will You Make a Straight?
There are many different ways to make a straight in poker, and any two cards can end up making a straight by the turn.
To flop a straight, however, you will need to start with two cards that are at least remotely connected, with a maximum gap of three cards working for a flopped straight.
The odds of making a straight on the flop with two connected cards like 98 or 76 can be as high as 1.29%, while one-gappers have a 0.96% chance of flopping a straight, and two-gappers have a 0.64% chance, and three-gappers have a 0.32% chance of flopping a straight.
It’s worth noting that you won’t always make your straight on the flop, but starting with connected cards will give you up to a 22% chance to make either a gutshot or an open-ended straight draw on the flop.
Straight draws can be powerful hands as well, as they give you a reasonable chance of making a straight by the river.
A gutshot straight draw gives you a combined 17% chance to make a straight by the end, while an open-ended straight draw gives you just over 34% chance of turning or rivering a straight.
Keep in mind that straight draws can also come in combination with flush draws, which can make for some very powerful drawing hands that often turn into straights or flushes by showdown.