To be an expert in the poker game, your maths must be very strong.  It will be very essential while making every decision as you are playing with your flush poker hands against your opponent on the PokerBazi website. For any decision that you are going to make, you also need to factor in the psychology of your opponent and your maths will be the key element.

Therefore, in this post, we will try to discuss briefly the theory of probability and also how it is related to poker. This may include the probability of having certain hands and also how often they will help you to win.

We will also try to explain how you can calculate your odds and outs. Also, we will try to explain how your understanding of maths can help you to know poker probability and keep your emotions stable while you are at the poker table.

What is probability?

Actually, when we say probability, then we mean that it is a certain mathematics theory that generally deals with any likelihood of a certain outcome that may happen. For example, when a coin is flipped, it has 2 possible outcomes:  either heads or tails.

As you can see, the probability that any flipped coin will land as heads will be 50% (only 1 outcome out of the 2) the same goes also for tails.

Probability and cards

While dealing with a pack of cards, the possible outcomes will be much greater than a coin.  A pack of cards used in a poker deck will have 52 cards, and each is designated by any one of four suits e.g. diamonds, clubs, hearts, and spades, etc.

Also, one of thirteen ranks e.g. the numbers 2 through 10, Ace, Jack, Queen, and King, Therefore, the odds of your getting any Ace will be 1 in 13 i.e. 7.7%, while also the odds of getting a spade as the first card are just 1 in 4 i.e. 25%.

Cards have certain “memory” unlike coins, where every card dealt will change the makeup of your deck.

Pre-flop probabilities

For finding the odds of your getting a pair of Aces after the cards are dealt, we can multiply the probabilities of getting each card as follows:

(4/52) x (3/51) is (12/2652) = (1/221) i.e. 0.45%.

If we try to put this in perspective, in case you are playing poker at the local casino and you are dealt with 30 hands/hour, then you can expect to get pocket Aces once every 7.5 hours on average.

Now, the odds of your getting any of the 13 possible pocket pairs are (13/221) = (1/17) ≈ 5.9%.

You can therefore expect on average to receive in contrast, any pocket pair once after every 35 minutes.


A solid understanding of poker mathematics and probabilities can help you in fine-tuning your plans and tactics during the game, and also provide you with realistic expectations of future outcomes and the mental stability to continue playing intelligent, aggressive poker.

You must remember that mathematics is the foundation upon which you may develop an impressive knowledge of holding them.