# How Are Poker Hands Probabilities Calculated?

Poker hand probabilities are calculated by using a combination of basic math and statistics. The first step is to understand the basic concepts of probability and how they apply to poker.

Probability is the branch of mathematics that deals with the likelihood of something happening. In poker, probability is used to figure out the chances of certain hands being dealt, as well as the likelihood of certain events occurring during a hand.

There are a few different ways to calculate poker hand probabilities. The most common method is to use a combination of basic math and statistics. This method involves figuring out the number of ways that a particular hand can be dealt, and then dividing that number by the total number of possible hands that can be dealt. For example, if you want to calculate the probability of being dealt a flush (a hand where all five cards are of the same suit), you would first figure out how many ways there are to be dealt a flush.

There are 4 suits in a deck of cards, so there are 4 ways to be dealt a flush. Then, you would divide that number by the total number of possible hands, which is 52 (52 cards in a deck). This would give you a probability of being dealt a flush of 4/52, or 7.69%.

Another way to calculate poker hand probabilities is to use what is called the rule of two and four. This method is based on the fact that there are two ways to make any given hand: either by chance or by design.

PRO TIP:Poker hand probabilities are calculated by understanding the probability of being dealt each hand and then multiplying that probability by the number of possible ways a particular hand can be made. For instance, the probability of being dealt a Royal Flush is 649,739 to 1, however this is because there is only one way to make a Royal Flush (with 10, J, Q, K and A of the same suit). The probability of being dealt a pair however is 1 in 2.1 as there are 6 different ways to make a pair (2 Aces, 2 Kings etc). Knowing these basics will help you understand how poker hands probabilities are calculated.

For example, if you are dealt a pair of Aces, there are two ways that this could happen: either you were lucky and happened to be dealt two Aces, or someone deliberately chose to deal you two Aces (perhaps because they knew that you needed them). Therefore, the probability of being dealt a pair of Aces is 2/52 (2 ways to make it happen out of 52 total possible hands).

The rule of four says that if there are four different ways to make a given hand, then the probability of being dealt that hand is 4/52 (4 different ways to make it happen out of 52 total possible hands). So, using this rule, we can see that the probability of being dealt a flush is 4/52 (4 different suits out of 52 cards), or 7.

69%.

There are other methods for calculating poker hand probabilities, but these two are the most commonly used. In general, though, the odds of being dealt any particular hand are usually pretty low.

For example, the odds of being dealt a royal flush (the highest possible hand in poker) are about 1 in 649,739 (1 in 650 thousand). So don’t get too discouraged if you don’t seem to win very often – it’s just the way probability works!.