Wager Mage
Photo by Ksenia Chernaya Pexels Logo Photo: Ksenia Chernaya

Does a full house beat 4 aces?

Multiplied by all possible suit combinations, there are 3,744 total ways to make a full house. The probability and the total number of ways to make a full house are higher for a full house than four-of-a-kind, making four-of-a-kind a rarer and stronger hand in a game of poker.

When was Bitcoin a $1?
When was Bitcoin a $1?

2011: Bitcoin Breaks $1 Bitcoin broke $1 in April 2011, entering its first mini “bull run.” It rose by roughly 3,000% over the next three months...

Read More »
Does my phone have a built in VPN?
Does my phone have a built in VPN?

Android includes a built-in (PPTP, L2TP/IPSec, and IPSec) VPN client. Devices running Android 4.0 and later also support VPN apps. You might need a...

Read More »

Most poker games use the standard poker hand rankings to determine each winning hand. The rarer a hand occurs mathematically, the higher it stands in the hand rankings. Full house and four-of-a-kind both represent extremely strong poker hands. Picking up one of these hands in a game of Texas Hold’em gives you a strong chance of winning the pot.

Which of these premium hands wins in a head-to-head battle? Does four-of-a-kind beat a full house?

In this case, the answer is yes: four-of-a-kind beats a full house. Let’s take a look at the math behind both:

Why Does Four of a Kind Beat a Full House?

To calculate the odds of making any particular five-card poker hand, we need to figure out the probability of making that hand if we randomly drew five cards from a 52-card deck. Texas Hold’em probabilities are calculated a bit differently, with the object of trying to make the best five-card hand out of seven possible cards. Here’s a look at the probabilities behind four-of-a-kind and full house hands:

The Math Behind Four of a Kind

When you randomly draw five cards out of a standard 52-card deck, you have an 0.024% chance of making four of a kind. That equates to 4,165-to-1 odds against drawing four-of-a-kind. Four-of-a-kind consists of four of the same-ranking card in a five-card hand. An example of four-of-a-kind looks like this: The deck yields 156 distinct ways to make four-of-a-kind and 624 total possible ways. A♠ A♥ A♦ A♣ 4♠, for instance, represents a distinct four-of-a-kind hand. The kicker can be any of the four suits, giving you four ways to draw that distinct four-of-a-kind. In Texas Hold’em, with all five community cards on the board, you have an 0.168% chance of making four-of-a-kind (594-to-1 odds against).

The Math Behind a Full House

Drawing a full house marks a pretty rare occurrence, but the hand known as the “full boat” comes up significantly more often in a game of poker. You need to draw three-of-a-kind and a pair in the same five-card hand to make a full house. An example of a full house could be a hand like this: If you randomly draw five cards out of a 52-card deck, you have an 0.1441% probability of making a full house. That translates to 693.17-to-1 odds against drawing a full house. The deck gives us 156 distinct ways to make a full house. Multiplied by all possible suit combinations, there are 3,744 total ways to make a full house. The probability and the total number of ways to make a full house are higher for a full house than four-of-a-kind, making four-of-a-kind a rarer and stronger hand in a game of poker. In Texas Hold’em, you have a 2.6% chance of making a full house with all five community cards on the board. That equates to 35.7-to-1 odds against making a full house.

What is the biggest bet win ever?
What is the biggest bet win ever?

An American man, known as Mattress Mack, has won what's claimed to be the world's biggest-ever sports bet. The 71-year-old scooped a massive $75...

Read More »
What is the most demanding sport?
What is the most demanding sport?

boxing According to several studies about “science of muscles and movement” experts label boxing as the most demanding sport for an athlete. Boxing...

Read More »

What is Bruce Wayne's car?

This Batmobile, perhaps the most basic of the Bat cars, was a stock 1939 Cadillac Series 75 convertible. This Bat convertible also served as Bruce Wayne's personal car—top down was Bruce Wayne, top up was Batman.

1997

1997's Batman & Robin was the final installment to the 1989 series. With a new Batman, this time played by George Clooney, Ling decided to give the Batmobile another shot. Taking inspiration from classic roadsters like the Jaguar D-Type, this car was 30 feet long with an open cockpit. It could also go up to 140 mph and was definitely nothing to play with. That same year's animated version with Kevin Conroy presented a slightly wider Batmobile than before. A two-seater with jet engines, this version lasted through the early 2000s and appeared in the comics published during that time.

Is a negative moneyline good?
Is a negative moneyline good?

Negative odds denote favored teams. This also means that your wager won't profit as much as it would if it was a positive number although you're...

Read More »
What does 50% rain mean?
What does 50% rain mean?

Here are two examples where there would be a 50% probability of precipitation. Example 1: I am 100% confident that rain will form, but only 50% of...

Read More »
How do I clean my guts?
How do I clean my guts?

Drinking plenty of water and staying hydrated is a great way to regulate digestion. Drinking lukewarm water has been shown to be good for digestion...

Read More »
Can you be tracked through a VPN?
Can you be tracked through a VPN?

When you connect to the internet through a VPN, your ISP only knows that you're connecting to a VPN server. And when you're connected to a server,...

Read More »