calculating probabilities of poker hands

Probability of being dealt two exact cards. This won't make much sense for now, but it will make a lot of sense a little further on in the article. Whenever the word 'or' is used, it will usually mean add.Whenever the word 'and' is used, it will usually mean multiply.The numbers will change slightly as you go along. Also, after already being dealt a 7, there are now only three 7s left in the deck.Īlways try and take care with the numbers for future cards. Notice how the probability changes for the second card? After we have been dealt the first card, there is now 1 less card in the deck making it 51 cards in total. The probability of being dealt a 7 for the second card will be 3/51.The probability of being dealt a 7 for the first card will be 4/52.let's say we want to work out the probability of being dealt a pair of sevens. This also applies to the probability being dealt any random value of card like Kings, tens, fours, whatever (4/52) and the probability of being dealt any random suit (13/52).Įach card is just as likely to be dealt as any other - no special priorities in this game! The numbers change for future cards.Ī quick example. In fact, the probability of being dealt any random card (not just the 7 ) would be 1/52. The probability of dealing any would be 13/52 - There are 13 s in a deck of 52 cards.The probability of dealing any Ace would be 4/52 - There four Aces in a deck of 52 cards.The probability of dealing a 7 would be 1/52 - There is one 7 in a deck of 52 cards.So for example, if we were going to deal out 1 card: When working out hand probabilities, the main probabilities we will work with are the number of cards in the deck and the number of cards we want to be dealt. Probability of being dealt a certain range of hands.Probability of being dealt a certain hand.Probability of being dealt two exact cards.I'll keep the math part as straightforward as I can to help keep this an easy-going article for the both of us. It's all pretty simple and you don't need to be a mathematician to work out the probabilities. How To Work Out Hand Probability In Texas HoldemĮver wondered where some of those odds in the odds charts came from? In this article, I will teach you how to work out the probability of being dealt different types of preflop hands in Texas Holdem.

Calculating probabilities of poker hands